Highest Common Factor of 8671, 1140 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 8671, 1140 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8671, 1140 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 8671, 1140 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 8671, 1140 is 1.
HCF(8671, 1140) = 1
HCF of 8671, 1140 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8671, 1140 is 1.
Highest Common Factor of 8671,1140 is 1
Step 1: Since 8671 > 1140, we apply the division lemma to 8671 and 1140, to get
8671 = 1140 x 7 + 691
Step 2: Since the reminder 1140 ≠ 0, we apply division lemma to 691 and 1140, to get
1140 = 691 x 1 + 449
Step 3: We consider the new divisor 691 and the new remainder 449, and apply the division lemma to get
691 = 449 x 1 + 242
We consider the new divisor 449 and the new remainder 242,and apply the division lemma to get
449 = 242 x 1 + 207
We consider the new divisor 242 and the new remainder 207,and apply the division lemma to get
242 = 207 x 1 + 35
We consider the new divisor 207 and the new remainder 35,and apply the division lemma to get
207 = 35 x 5 + 32
We consider the new divisor 35 and the new remainder 32,and apply the division lemma to get
35 = 32 x 1 + 3
We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get
32 = 3 x 10 + 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 8671 and 1140 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(207,35) = HCF(242,207) = HCF(449,242) = HCF(691,449) = HCF(1140,691) = HCF(8671,1140) .
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Frequently Asked Questions on HCF of 8671, 1140 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 8671, 1140?
Answer: HCF of 8671, 1140 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8671, 1140 using Euclid's Algorithm?
Answer: For arbitrary numbers 8671, 1140 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.