Highest Common Factor of 4456, 2792 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 4456, 2792 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4456, 2792 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 4456, 2792 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 4456, 2792 is 8.
HCF(4456, 2792) = 8
HCF of 4456, 2792 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4456, 2792 is 8.
Highest Common Factor of 4456,2792 is 8
Step 1: Since 4456 > 2792, we apply the division lemma to 4456 and 2792, to get
4456 = 2792 x 1 + 1664
Step 2: Since the reminder 2792 ≠ 0, we apply division lemma to 1664 and 2792, to get
2792 = 1664 x 1 + 1128
Step 3: We consider the new divisor 1664 and the new remainder 1128, and apply the division lemma to get
1664 = 1128 x 1 + 536
We consider the new divisor 1128 and the new remainder 536,and apply the division lemma to get
1128 = 536 x 2 + 56
We consider the new divisor 536 and the new remainder 56,and apply the division lemma to get
536 = 56 x 9 + 32
We consider the new divisor 56 and the new remainder 32,and apply the division lemma to get
56 = 32 x 1 + 24
We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get
32 = 24 x 1 + 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 4456 and 2792 is 8
Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(56,32) = HCF(536,56) = HCF(1128,536) = HCF(1664,1128) = HCF(2792,1664) = HCF(4456,2792) .
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Frequently Asked Questions on HCF of 4456, 2792 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 4456, 2792?
Answer: HCF of 4456, 2792 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4456, 2792 using Euclid's Algorithm?
Answer: For arbitrary numbers 4456, 2792 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.