Highest Common Factor of 8257, 981 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 8257, 981 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8257, 981 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 8257, 981 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 8257, 981 is 1.
HCF(8257, 981) = 1
HCF of 8257, 981 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8257, 981 is 1.
Highest Common Factor of 8257,981 is 1
Step 1: Since 8257 > 981, we apply the division lemma to 8257 and 981, to get
8257 = 981 x 8 + 409
Step 2: Since the reminder 981 ≠ 0, we apply division lemma to 409 and 981, to get
981 = 409 x 2 + 163
Step 3: We consider the new divisor 409 and the new remainder 163, and apply the division lemma to get
409 = 163 x 2 + 83
We consider the new divisor 163 and the new remainder 83,and apply the division lemma to get
163 = 83 x 1 + 80
We consider the new divisor 83 and the new remainder 80,and apply the division lemma to get
83 = 80 x 1 + 3
We consider the new divisor 80 and the new remainder 3,and apply the division lemma to get
80 = 3 x 26 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8257 and 981 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(80,3) = HCF(83,80) = HCF(163,83) = HCF(409,163) = HCF(981,409) = HCF(8257,981) .
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Frequently Asked Questions on HCF of 8257, 981 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 8257, 981?
Answer: HCF of 8257, 981 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8257, 981 using Euclid's Algorithm?
Answer: For arbitrary numbers 8257, 981 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.