Highest Common Factor of 464, 792 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 464, 792 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 464, 792 is 8 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 464, 792 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 464, 792 is 8.
HCF(464, 792) = 8
HCF of 464, 792 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 464, 792 is 8.
Highest Common Factor of 464,792 is 8
Step 1: Since 792 > 464, we apply the division lemma to 792 and 464, to get
792 = 464 x 1 + 328
Step 2: Since the reminder 464 ≠ 0, we apply division lemma to 328 and 464, to get
464 = 328 x 1 + 136
Step 3: We consider the new divisor 328 and the new remainder 136, and apply the division lemma to get
328 = 136 x 2 + 56
We consider the new divisor 136 and the new remainder 56,and apply the division lemma to get
136 = 56 x 2 + 24
We consider the new divisor 56 and the new remainder 24,and apply the division lemma to get
56 = 24 x 2 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 464 and 792 is 8
Notice that 8 = HCF(24,8) = HCF(56,24) = HCF(136,56) = HCF(328,136) = HCF(464,328) = HCF(792,464) .
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Frequently Asked Questions on HCF of 464, 792 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 464, 792?
Answer: HCF of 464, 792 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 464, 792 using Euclid's Algorithm?
Answer: For arbitrary numbers 464, 792 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.