Highest Common Factor of 4310, 6626 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 4310, 6626 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4310, 6626 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 4310, 6626 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 4310, 6626 is 2.
HCF(4310, 6626) = 2
HCF of 4310, 6626 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4310, 6626 is 2.
Highest Common Factor of 4310,6626 is 2
Step 1: Since 6626 > 4310, we apply the division lemma to 6626 and 4310, to get
6626 = 4310 x 1 + 2316
Step 2: Since the reminder 4310 ≠ 0, we apply division lemma to 2316 and 4310, to get
4310 = 2316 x 1 + 1994
Step 3: We consider the new divisor 2316 and the new remainder 1994, and apply the division lemma to get
2316 = 1994 x 1 + 322
We consider the new divisor 1994 and the new remainder 322,and apply the division lemma to get
1994 = 322 x 6 + 62
We consider the new divisor 322 and the new remainder 62,and apply the division lemma to get
322 = 62 x 5 + 12
We consider the new divisor 62 and the new remainder 12,and apply the division lemma to get
62 = 12 x 5 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4310 and 6626 is 2
Notice that 2 = HCF(12,2) = HCF(62,12) = HCF(322,62) = HCF(1994,322) = HCF(2316,1994) = HCF(4310,2316) = HCF(6626,4310) .
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Frequently Asked Questions on HCF of 4310, 6626 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 4310, 6626?
Answer: HCF of 4310, 6626 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4310, 6626 using Euclid's Algorithm?
Answer: For arbitrary numbers 4310, 6626 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
