Highest Common Factor of 1136, 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 1136, 6316 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1136, 6316 is 4 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 1136, 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 1136, 6316 is 4.
HCF(1136, 6316) = 4
HCF of 1136, 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 1136, 6316 is 4.
Highest Common Factor of 1136,6316 is 4
Step 1: Since 6316 > 1136, we apply the division lemma to 6316 and 1136, to get
6316 = 1136 x 5 + 636
Step 2: Since the reminder 1136 ≠ 0, we apply division lemma to 636 and 1136, to get
1136 = 636 x 1 + 500
Step 3: We consider the new divisor 636 and the new remainder 500, and apply the division lemma to get
636 = 500 x 1 + 136
We consider the new divisor 500 and the new remainder 136,and apply the division lemma to get
500 = 136 x 3 + 92
We consider the new divisor 136 and the new remainder 92,and apply the division lemma to get
136 = 92 x 1 + 44
We consider the new divisor 92 and the new remainder 44,and apply the division lemma to get
92 = 44 x 2 + 4
We consider the new divisor 44 and the new remainder 4,and apply the division lemma to get
44 = 4 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1136 and 6316 is 4
Notice that 4 = HCF(44,4) = HCF(92,44) = HCF(136,92) = HCF(500,136) = HCF(636,500) = HCF(1136,636) = HCF(6316,1136) .
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Frequently Asked Questions on HCF of 1136, 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 1136, 6316?
Answer: HCF of 1136, 6316 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1136, 6316 using Euclid's Algorithm?
Answer: For arbitrary numbers 1136, 6316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.