Highest Common Factor of 9397, 6239 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 9397, 6239 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9397, 6239 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 9397, 6239 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 9397, 6239 is 1.
HCF(9397, 6239) = 1
HCF of 9397, 6239 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9397, 6239 is 1.
Highest Common Factor of 9397,6239 is 1
Step 1: Since 9397 > 6239, we apply the division lemma to 9397 and 6239, to get
9397 = 6239 x 1 + 3158
Step 2: Since the reminder 6239 ≠ 0, we apply division lemma to 3158 and 6239, to get
6239 = 3158 x 1 + 3081
Step 3: We consider the new divisor 3158 and the new remainder 3081, and apply the division lemma to get
3158 = 3081 x 1 + 77
We consider the new divisor 3081 and the new remainder 77,and apply the division lemma to get
3081 = 77 x 40 + 1
We consider the new divisor 77 and the new remainder 1,and apply the division lemma to get
77 = 1 x 77 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9397 and 6239 is 1
Notice that 1 = HCF(77,1) = HCF(3081,77) = HCF(3158,3081) = HCF(6239,3158) = HCF(9397,6239) .
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Frequently Asked Questions on HCF of 9397, 6239 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 9397, 6239?
Answer: HCF of 9397, 6239 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9397, 6239 using Euclid's Algorithm?
Answer: For arbitrary numbers 9397, 6239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.