Highest Common Factor of 7727, 646 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 7727, 646 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7727, 646 is 1 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 7727, 646 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 7727, 646 is 1.
HCF(7727, 646) = 1
HCF of 7727, 646 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7727, 646 is 1.
Highest Common Factor of 7727,646 is 1
Step 1: Since 7727 > 646, we apply the division lemma to 7727 and 646, to get
7727 = 646 x 11 + 621
Step 2: Since the reminder 646 ≠ 0, we apply division lemma to 621 and 646, to get
646 = 621 x 1 + 25
Step 3: We consider the new divisor 621 and the new remainder 25, and apply the division lemma to get
621 = 25 x 24 + 21
We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get
25 = 21 x 1 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7727 and 646 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(621,25) = HCF(646,621) = HCF(7727,646) .
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Frequently Asked Questions on HCF of 7727, 646 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 7727, 646?
Answer: HCF of 7727, 646 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7727, 646 using Euclid's Algorithm?
Answer: For arbitrary numbers 7727, 646 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.