Highest Common Factor of 7682, 4722 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 7682, 4722 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7682, 4722 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 7682, 4722 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 7682, 4722 is 2.
HCF(7682, 4722) = 2
HCF of 7682, 4722 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7682, 4722 is 2.
Highest Common Factor of 7682,4722 is 2
Step 1: Since 7682 > 4722, we apply the division lemma to 7682 and 4722, to get
7682 = 4722 x 1 + 2960
Step 2: Since the reminder 4722 ≠ 0, we apply division lemma to 2960 and 4722, to get
4722 = 2960 x 1 + 1762
Step 3: We consider the new divisor 2960 and the new remainder 1762, and apply the division lemma to get
2960 = 1762 x 1 + 1198
We consider the new divisor 1762 and the new remainder 1198,and apply the division lemma to get
1762 = 1198 x 1 + 564
We consider the new divisor 1198 and the new remainder 564,and apply the division lemma to get
1198 = 564 x 2 + 70
We consider the new divisor 564 and the new remainder 70,and apply the division lemma to get
564 = 70 x 8 + 4
We consider the new divisor 70 and the new remainder 4,and apply the division lemma to get
70 = 4 x 17 + 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 7682 and 4722 is 2
Notice that 2 = HCF(4,2) = HCF(70,4) = HCF(564,70) = HCF(1198,564) = HCF(1762,1198) = HCF(2960,1762) = HCF(4722,2960) = HCF(7682,4722) .
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Frequently Asked Questions on HCF of 7682, 4722 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 7682, 4722?
Answer: HCF of 7682, 4722 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7682, 4722 using Euclid's Algorithm?
Answer: For arbitrary numbers 7682, 4722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.