Highest Common Factor of 3651, 6758 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 3651, 6758 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3651, 6758 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 3651, 6758 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 3651, 6758 is 1.
HCF(3651, 6758) = 1
HCF of 3651, 6758 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3651, 6758 is 1.
Highest Common Factor of 3651,6758 is 1
Step 1: Since 6758 > 3651, we apply the division lemma to 6758 and 3651, to get
6758 = 3651 x 1 + 3107
Step 2: Since the reminder 3651 ≠ 0, we apply division lemma to 3107 and 3651, to get
3651 = 3107 x 1 + 544
Step 3: We consider the new divisor 3107 and the new remainder 544, and apply the division lemma to get
3107 = 544 x 5 + 387
We consider the new divisor 544 and the new remainder 387,and apply the division lemma to get
544 = 387 x 1 + 157
We consider the new divisor 387 and the new remainder 157,and apply the division lemma to get
387 = 157 x 2 + 73
We consider the new divisor 157 and the new remainder 73,and apply the division lemma to get
157 = 73 x 2 + 11
We consider the new divisor 73 and the new remainder 11,and apply the division lemma to get
73 = 11 x 6 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3651 and 6758 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(73,11) = HCF(157,73) = HCF(387,157) = HCF(544,387) = HCF(3107,544) = HCF(3651,3107) = HCF(6758,3651) .
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Frequently Asked Questions on HCF of 3651, 6758 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 3651, 6758?
Answer: HCF of 3651, 6758 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3651, 6758 using Euclid's Algorithm?
Answer: For arbitrary numbers 3651, 6758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.