Highest Common Factor of 3910, 5287 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 3910, 5287 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 3910, 5287 is 17 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 3910, 5287 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 3910, 5287 is 17.
HCF(3910, 5287) = 17
HCF of 3910, 5287 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3910, 5287 is 17.
Highest Common Factor of 3910,5287 is 17
Step 1: Since 5287 > 3910, we apply the division lemma to 5287 and 3910, to get
5287 = 3910 x 1 + 1377
Step 2: Since the reminder 3910 ≠ 0, we apply division lemma to 1377 and 3910, to get
3910 = 1377 x 2 + 1156
Step 3: We consider the new divisor 1377 and the new remainder 1156, and apply the division lemma to get
1377 = 1156 x 1 + 221
We consider the new divisor 1156 and the new remainder 221,and apply the division lemma to get
1156 = 221 x 5 + 51
We consider the new divisor 221 and the new remainder 51,and apply the division lemma to get
221 = 51 x 4 + 17
We consider the new divisor 51 and the new remainder 17,and apply the division lemma to get
51 = 17 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 3910 and 5287 is 17
Notice that 17 = HCF(51,17) = HCF(221,51) = HCF(1156,221) = HCF(1377,1156) = HCF(3910,1377) = HCF(5287,3910) .
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Frequently Asked Questions on HCF of 3910, 5287 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 3910, 5287?
Answer: HCF of 3910, 5287 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3910, 5287 using Euclid's Algorithm?
Answer: For arbitrary numbers 3910, 5287 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.