Highest Common Factor of 6736, 5095 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 6736, 5095 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6736, 5095 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 6736, 5095 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 6736, 5095 is 1.
HCF(6736, 5095) = 1
HCF of 6736, 5095 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6736, 5095 is 1.
Highest Common Factor of 6736,5095 is 1
Step 1: Since 6736 > 5095, we apply the division lemma to 6736 and 5095, to get
6736 = 5095 x 1 + 1641
Step 2: Since the reminder 5095 ≠ 0, we apply division lemma to 1641 and 5095, to get
5095 = 1641 x 3 + 172
Step 3: We consider the new divisor 1641 and the new remainder 172, and apply the division lemma to get
1641 = 172 x 9 + 93
We consider the new divisor 172 and the new remainder 93,and apply the division lemma to get
172 = 93 x 1 + 79
We consider the new divisor 93 and the new remainder 79,and apply the division lemma to get
93 = 79 x 1 + 14
We consider the new divisor 79 and the new remainder 14,and apply the division lemma to get
79 = 14 x 5 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6736 and 5095 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(79,14) = HCF(93,79) = HCF(172,93) = HCF(1641,172) = HCF(5095,1641) = HCF(6736,5095) .
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Frequently Asked Questions on HCF of 6736, 5095 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 6736, 5095?
Answer: HCF of 6736, 5095 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6736, 5095 using Euclid's Algorithm?
Answer: For arbitrary numbers 6736, 5095 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.