Highest Common Factor of 8951, 3230 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 8951, 3230 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8951, 3230 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 8951, 3230 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 8951, 3230 is 1.
HCF(8951, 3230) = 1
HCF of 8951, 3230 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8951, 3230 is 1.
Highest Common Factor of 8951,3230 is 1
Step 1: Since 8951 > 3230, we apply the division lemma to 8951 and 3230, to get
8951 = 3230 x 2 + 2491
Step 2: Since the reminder 3230 ≠ 0, we apply division lemma to 2491 and 3230, to get
3230 = 2491 x 1 + 739
Step 3: We consider the new divisor 2491 and the new remainder 739, and apply the division lemma to get
2491 = 739 x 3 + 274
We consider the new divisor 739 and the new remainder 274,and apply the division lemma to get
739 = 274 x 2 + 191
We consider the new divisor 274 and the new remainder 191,and apply the division lemma to get
274 = 191 x 1 + 83
We consider the new divisor 191 and the new remainder 83,and apply the division lemma to get
191 = 83 x 2 + 25
We consider the new divisor 83 and the new remainder 25,and apply the division lemma to get
83 = 25 x 3 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8951 and 3230 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(83,25) = HCF(191,83) = HCF(274,191) = HCF(739,274) = HCF(2491,739) = HCF(3230,2491) = HCF(8951,3230) .
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Frequently Asked Questions on HCF of 8951, 3230 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 8951, 3230?
Answer: HCF of 8951, 3230 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8951, 3230 using Euclid's Algorithm?
Answer: For arbitrary numbers 8951, 3230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
