Highest Common Factor of 9251, 8251 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 9251, 8251 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9251, 8251 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 9251, 8251 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 9251, 8251 is 1.
HCF(9251, 8251) = 1
HCF of 9251, 8251 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9251, 8251 is 1.
Highest Common Factor of 9251,8251 is 1
Step 1: Since 9251 > 8251, we apply the division lemma to 9251 and 8251, to get
9251 = 8251 x 1 + 1000
Step 2: Since the reminder 8251 ≠ 0, we apply division lemma to 1000 and 8251, to get
8251 = 1000 x 8 + 251
Step 3: We consider the new divisor 1000 and the new remainder 251, and apply the division lemma to get
1000 = 251 x 3 + 247
We consider the new divisor 251 and the new remainder 247,and apply the division lemma to get
251 = 247 x 1 + 4
We consider the new divisor 247 and the new remainder 4,and apply the division lemma to get
247 = 4 x 61 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9251 and 8251 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(247,4) = HCF(251,247) = HCF(1000,251) = HCF(8251,1000) = HCF(9251,8251) .
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Frequently Asked Questions on HCF of 9251, 8251 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 9251, 8251?
Answer: HCF of 9251, 8251 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9251, 8251 using Euclid's Algorithm?
Answer: For arbitrary numbers 9251, 8251 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.