Highest Common Factor of 8926, 7031 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 8926, 7031 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8926, 7031 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 8926, 7031 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 8926, 7031 is 1.
HCF(8926, 7031) = 1
HCF of 8926, 7031 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8926, 7031 is 1.
Highest Common Factor of 8926,7031 is 1
Step 1: Since 8926 > 7031, we apply the division lemma to 8926 and 7031, to get
8926 = 7031 x 1 + 1895
Step 2: Since the reminder 7031 ≠ 0, we apply division lemma to 1895 and 7031, to get
7031 = 1895 x 3 + 1346
Step 3: We consider the new divisor 1895 and the new remainder 1346, and apply the division lemma to get
1895 = 1346 x 1 + 549
We consider the new divisor 1346 and the new remainder 549,and apply the division lemma to get
1346 = 549 x 2 + 248
We consider the new divisor 549 and the new remainder 248,and apply the division lemma to get
549 = 248 x 2 + 53
We consider the new divisor 248 and the new remainder 53,and apply the division lemma to get
248 = 53 x 4 + 36
We consider the new divisor 53 and the new remainder 36,and apply the division lemma to get
53 = 36 x 1 + 17
We consider the new divisor 36 and the new remainder 17,and apply the division lemma to get
36 = 17 x 2 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 8926 and 7031 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(36,17) = HCF(53,36) = HCF(248,53) = HCF(549,248) = HCF(1346,549) = HCF(1895,1346) = HCF(7031,1895) = HCF(8926,7031) .
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Frequently Asked Questions on HCF of 8926, 7031 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 8926, 7031?
Answer: HCF of 8926, 7031 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8926, 7031 using Euclid's Algorithm?
Answer: For arbitrary numbers 8926, 7031 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.