Highest Common Factor of 864, 9257 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 864, 9257 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 864, 9257 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 864, 9257 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 864, 9257 is 1.
HCF(864, 9257) = 1
HCF of 864, 9257 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 864, 9257 is 1.
Highest Common Factor of 864,9257 is 1
Step 1: Since 9257 > 864, we apply the division lemma to 9257 and 864, to get
9257 = 864 x 10 + 617
Step 2: Since the reminder 864 ≠ 0, we apply division lemma to 617 and 864, to get
864 = 617 x 1 + 247
Step 3: We consider the new divisor 617 and the new remainder 247, and apply the division lemma to get
617 = 247 x 2 + 123
We consider the new divisor 247 and the new remainder 123,and apply the division lemma to get
247 = 123 x 2 + 1
We consider the new divisor 123 and the new remainder 1,and apply the division lemma to get
123 = 1 x 123 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 864 and 9257 is 1
Notice that 1 = HCF(123,1) = HCF(247,123) = HCF(617,247) = HCF(864,617) = HCF(9257,864) .
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Frequently Asked Questions on HCF of 864, 9257 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 864, 9257?
Answer: HCF of 864, 9257 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 864, 9257 using Euclid's Algorithm?
Answer: For arbitrary numbers 864, 9257 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.