Highest Common Factor of 9407, 7961 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 9407, 7961 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9407, 7961 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 9407, 7961 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 9407, 7961 is 1.
HCF(9407, 7961) = 1
HCF of 9407, 7961 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9407, 7961 is 1.
Highest Common Factor of 9407,7961 is 1
Step 1: Since 9407 > 7961, we apply the division lemma to 9407 and 7961, to get
9407 = 7961 x 1 + 1446
Step 2: Since the reminder 7961 ≠ 0, we apply division lemma to 1446 and 7961, to get
7961 = 1446 x 5 + 731
Step 3: We consider the new divisor 1446 and the new remainder 731, and apply the division lemma to get
1446 = 731 x 1 + 715
We consider the new divisor 731 and the new remainder 715,and apply the division lemma to get
731 = 715 x 1 + 16
We consider the new divisor 715 and the new remainder 16,and apply the division lemma to get
715 = 16 x 44 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9407 and 7961 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(715,16) = HCF(731,715) = HCF(1446,731) = HCF(7961,1446) = HCF(9407,7961) .
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Frequently Asked Questions on HCF of 9407, 7961 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 9407, 7961?
Answer: HCF of 9407, 7961 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9407, 7961 using Euclid's Algorithm?
Answer: For arbitrary numbers 9407, 7961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.