Highest Common Factor of 957, 9401 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 957, 9401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 957, 9401 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 957, 9401 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 957, 9401 is 1.
HCF(957, 9401) = 1
HCF of 957, 9401 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 957, 9401 is 1.
Highest Common Factor of 957,9401 is 1
Step 1: Since 9401 > 957, we apply the division lemma to 9401 and 957, to get
9401 = 957 x 9 + 788
Step 2: Since the reminder 957 ≠ 0, we apply division lemma to 788 and 957, to get
957 = 788 x 1 + 169
Step 3: We consider the new divisor 788 and the new remainder 169, and apply the division lemma to get
788 = 169 x 4 + 112
We consider the new divisor 169 and the new remainder 112,and apply the division lemma to get
169 = 112 x 1 + 57
We consider the new divisor 112 and the new remainder 57,and apply the division lemma to get
112 = 57 x 1 + 55
We consider the new divisor 57 and the new remainder 55,and apply the division lemma to get
57 = 55 x 1 + 2
We consider the new divisor 55 and the new remainder 2,and apply the division lemma to get
55 = 2 x 27 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 957 and 9401 is 1
Notice that 1 = HCF(2,1) = HCF(55,2) = HCF(57,55) = HCF(112,57) = HCF(169,112) = HCF(788,169) = HCF(957,788) = HCF(9401,957) .
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Frequently Asked Questions on HCF of 957, 9401 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 957, 9401?
Answer: HCF of 957, 9401 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 957, 9401 using Euclid's Algorithm?
Answer: For arbitrary numbers 957, 9401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.