Highest Common Factor of 6325, 7724 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 6325, 7724 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6325, 7724 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 6325, 7724 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 6325, 7724 is 1.
HCF(6325, 7724) = 1
HCF of 6325, 7724 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6325, 7724 is 1.
Highest Common Factor of 6325,7724 is 1
Step 1: Since 7724 > 6325, we apply the division lemma to 7724 and 6325, to get
7724 = 6325 x 1 + 1399
Step 2: Since the reminder 6325 ≠ 0, we apply division lemma to 1399 and 6325, to get
6325 = 1399 x 4 + 729
Step 3: We consider the new divisor 1399 and the new remainder 729, and apply the division lemma to get
1399 = 729 x 1 + 670
We consider the new divisor 729 and the new remainder 670,and apply the division lemma to get
729 = 670 x 1 + 59
We consider the new divisor 670 and the new remainder 59,and apply the division lemma to get
670 = 59 x 11 + 21
We consider the new divisor 59 and the new remainder 21,and apply the division lemma to get
59 = 21 x 2 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 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 6325 and 7724 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(59,21) = HCF(670,59) = HCF(729,670) = HCF(1399,729) = HCF(6325,1399) = HCF(7724,6325) .
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Frequently Asked Questions on HCF of 6325, 7724 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 6325, 7724?
Answer: HCF of 6325, 7724 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6325, 7724 using Euclid's Algorithm?
Answer: For arbitrary numbers 6325, 7724 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.