Highest Common Factor of 5105, 6316 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 5105, 6316 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5105, 6316 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 5105, 6316 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 5105, 6316 is 1.
HCF(5105, 6316) = 1
HCF of 5105, 6316 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5105, 6316 is 1.
Highest Common Factor of 5105,6316 is 1
Step 1: Since 6316 > 5105, we apply the division lemma to 6316 and 5105, to get
6316 = 5105 x 1 + 1211
Step 2: Since the reminder 5105 ≠ 0, we apply division lemma to 1211 and 5105, to get
5105 = 1211 x 4 + 261
Step 3: We consider the new divisor 1211 and the new remainder 261, and apply the division lemma to get
1211 = 261 x 4 + 167
We consider the new divisor 261 and the new remainder 167,and apply the division lemma to get
261 = 167 x 1 + 94
We consider the new divisor 167 and the new remainder 94,and apply the division lemma to get
167 = 94 x 1 + 73
We consider the new divisor 94 and the new remainder 73,and apply the division lemma to get
94 = 73 x 1 + 21
We consider the new divisor 73 and the new remainder 21,and apply the division lemma to get
73 = 21 x 3 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5105 and 6316 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(73,21) = HCF(94,73) = HCF(167,94) = HCF(261,167) = HCF(1211,261) = HCF(5105,1211) = HCF(6316,5105) .
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Frequently Asked Questions on HCF of 5105, 6316 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 5105, 6316?
Answer: HCF of 5105, 6316 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5105, 6316 using Euclid's Algorithm?
Answer: For arbitrary numbers 5105, 6316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.