Highest Common Factor of 792, 1428 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 792, 1428 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 792, 1428 is 12 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 792, 1428 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 792, 1428 is 12.
HCF(792, 1428) = 12
HCF of 792, 1428 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 792, 1428 is 12.
Highest Common Factor of 792,1428 is 12
Step 1: Since 1428 > 792, we apply the division lemma to 1428 and 792, to get
1428 = 792 x 1 + 636
Step 2: Since the reminder 792 ≠ 0, we apply division lemma to 636 and 792, to get
792 = 636 x 1 + 156
Step 3: We consider the new divisor 636 and the new remainder 156, and apply the division lemma to get
636 = 156 x 4 + 12
We consider the new divisor 156 and the new remainder 12, and apply the division lemma to get
156 = 12 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 792 and 1428 is 12
Notice that 12 = HCF(156,12) = HCF(636,156) = HCF(792,636) = HCF(1428,792) .
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Frequently Asked Questions on HCF of 792, 1428 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 792, 1428?
Answer: HCF of 792, 1428 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 792, 1428 using Euclid's Algorithm?
Answer: For arbitrary numbers 792, 1428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.