Highest Common Factor of 2792, 5712 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 2792, 5712 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 2792, 5712 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 2792, 5712 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 2792, 5712 is 8.
HCF(2792, 5712) = 8
HCF of 2792, 5712 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2792, 5712 is 8.
Highest Common Factor of 2792,5712 is 8
Step 1: Since 5712 > 2792, we apply the division lemma to 5712 and 2792, to get
5712 = 2792 x 2 + 128
Step 2: Since the reminder 2792 ≠ 0, we apply division lemma to 128 and 2792, to get
2792 = 128 x 21 + 104
Step 3: We consider the new divisor 128 and the new remainder 104, and apply the division lemma to get
128 = 104 x 1 + 24
We consider the new divisor 104 and the new remainder 24,and apply the division lemma to get
104 = 24 x 4 + 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 2792 and 5712 is 8
Notice that 8 = HCF(24,8) = HCF(104,24) = HCF(128,104) = HCF(2792,128) = HCF(5712,2792) .
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Frequently Asked Questions on HCF of 2792, 5712 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 2792, 5712?
Answer: HCF of 2792, 5712 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2792, 5712 using Euclid's Algorithm?
Answer: For arbitrary numbers 2792, 5712 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
