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Using Euclid's division lemma find the HCF of 72&120 and prove that product of two numbers is equal to product of HCF and LCMplease give correct answers only or else I will report |
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Answer» Lemma METHOD for H.C.F 72(120)1 - 72 ________ 48(72)1 - 48 __________ 24(48)2 - 48 _______________ 00 Therefore Until u get 0 as remainder KEEP doing this process. When You get Reminder as a 0 You divisior is your HCF . In this case 24 is HCF. H.C.F*LCM = PRODUCT OF 1st number and 2nd number Factor of 72 = 2 *2*2*3*3 Factor of 120 = 2*2*2*3*5 H.C.F =24 AND LCM=360 24*360 = 72*120 8640=8640 THEREFORE L.H.S = R.H.S HENCE PROVED |
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