Highest Common Factor of 656, 6434 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 656, 6434 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 656, 6434 is 2 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 656, 6434 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 656, 6434 is 2.
HCF(656, 6434) = 2
HCF of 656, 6434 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 656, 6434 is 2.
Highest Common Factor of 656,6434 is 2
Step 1: Since 6434 > 656, we apply the division lemma to 6434 and 656, to get
6434 = 656 x 9 + 530
Step 2: Since the reminder 656 ≠ 0, we apply division lemma to 530 and 656, to get
656 = 530 x 1 + 126
Step 3: We consider the new divisor 530 and the new remainder 126, and apply the division lemma to get
530 = 126 x 4 + 26
We consider the new divisor 126 and the new remainder 26,and apply the division lemma to get
126 = 26 x 4 + 22
We consider the new divisor 26 and the new remainder 22,and apply the division lemma to get
26 = 22 x 1 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 656 and 6434 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(26,22) = HCF(126,26) = HCF(530,126) = HCF(656,530) = HCF(6434,656) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 656, 6434 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 656, 6434?
Answer: HCF of 656, 6434 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 656, 6434 using Euclid's Algorithm?
Answer: For arbitrary numbers 656, 6434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.