Highest Common Factor of 8629, 3910 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 8629, 3910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8629, 3910 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 8629, 3910 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 8629, 3910 is 1.
HCF(8629, 3910) = 1
HCF of 8629, 3910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8629, 3910 is 1.
Highest Common Factor of 8629,3910 is 1
Step 1: Since 8629 > 3910, we apply the division lemma to 8629 and 3910, to get
8629 = 3910 x 2 + 809
Step 2: Since the reminder 3910 ≠ 0, we apply division lemma to 809 and 3910, to get
3910 = 809 x 4 + 674
Step 3: We consider the new divisor 809 and the new remainder 674, and apply the division lemma to get
809 = 674 x 1 + 135
We consider the new divisor 674 and the new remainder 135,and apply the division lemma to get
674 = 135 x 4 + 134
We consider the new divisor 135 and the new remainder 134,and apply the division lemma to get
135 = 134 x 1 + 1
We consider the new divisor 134 and the new remainder 1,and apply the division lemma to get
134 = 1 x 134 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8629 and 3910 is 1
Notice that 1 = HCF(134,1) = HCF(135,134) = HCF(674,135) = HCF(809,674) = HCF(3910,809) = HCF(8629,3910) .
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Frequently Asked Questions on HCF of 8629, 3910 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 8629, 3910?
Answer: HCF of 8629, 3910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8629, 3910 using Euclid's Algorithm?
Answer: For arbitrary numbers 8629, 3910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.