Highest Common Factor of 7961, 9122 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 7961, 9122 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7961, 9122 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 7961, 9122 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 7961, 9122 is 1.
HCF(7961, 9122) = 1
HCF of 7961, 9122 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7961, 9122 is 1.
Highest Common Factor of 7961,9122 is 1
Step 1: Since 9122 > 7961, we apply the division lemma to 9122 and 7961, to get
9122 = 7961 x 1 + 1161
Step 2: Since the reminder 7961 ≠ 0, we apply division lemma to 1161 and 7961, to get
7961 = 1161 x 6 + 995
Step 3: We consider the new divisor 1161 and the new remainder 995, and apply the division lemma to get
1161 = 995 x 1 + 166
We consider the new divisor 995 and the new remainder 166,and apply the division lemma to get
995 = 166 x 5 + 165
We consider the new divisor 166 and the new remainder 165,and apply the division lemma to get
166 = 165 x 1 + 1
We consider the new divisor 165 and the new remainder 1,and apply the division lemma to get
165 = 1 x 165 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7961 and 9122 is 1
Notice that 1 = HCF(165,1) = HCF(166,165) = HCF(995,166) = HCF(1161,995) = HCF(7961,1161) = HCF(9122,7961) .
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Frequently Asked Questions on HCF of 7961, 9122 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 7961, 9122?
Answer: HCF of 7961, 9122 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7961, 9122 using Euclid's Algorithm?
Answer: For arbitrary numbers 7961, 9122 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.