Highest Common Factor of 6494, 7922 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 6494, 7922 i.e. 34 the largest integer that leaves a remainder zero for all numbers.
HCF of 6494, 7922 is 34 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 6494, 7922 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 6494, 7922 is 34.
HCF(6494, 7922) = 34
HCF of 6494, 7922 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6494, 7922 is 34.
Highest Common Factor of 6494,7922 is 34
Step 1: Since 7922 > 6494, we apply the division lemma to 7922 and 6494, to get
7922 = 6494 x 1 + 1428
Step 2: Since the reminder 6494 ≠ 0, we apply division lemma to 1428 and 6494, to get
6494 = 1428 x 4 + 782
Step 3: We consider the new divisor 1428 and the new remainder 782, and apply the division lemma to get
1428 = 782 x 1 + 646
We consider the new divisor 782 and the new remainder 646,and apply the division lemma to get
782 = 646 x 1 + 136
We consider the new divisor 646 and the new remainder 136,and apply the division lemma to get
646 = 136 x 4 + 102
We consider the new divisor 136 and the new remainder 102,and apply the division lemma to get
136 = 102 x 1 + 34
We consider the new divisor 102 and the new remainder 34,and apply the division lemma to get
102 = 34 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 34, the HCF of 6494 and 7922 is 34
Notice that 34 = HCF(102,34) = HCF(136,102) = HCF(646,136) = HCF(782,646) = HCF(1428,782) = HCF(6494,1428) = HCF(7922,6494) .
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Frequently Asked Questions on HCF of 6494, 7922 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 6494, 7922?
Answer: HCF of 6494, 7922 is 34 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6494, 7922 using Euclid's Algorithm?
Answer: For arbitrary numbers 6494, 7922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.