Highest Common Factor of 291, 3665, 6456 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 291, 3665, 6456 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 291, 3665, 6456 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 291, 3665, 6456 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 291, 3665, 6456 is 1.
HCF(291, 3665, 6456) = 1
HCF of 291, 3665, 6456 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 291, 3665, 6456 is 1.
Highest Common Factor of 291,3665,6456 is 1
Step 1: Since 3665 > 291, we apply the division lemma to 3665 and 291, to get
3665 = 291 x 12 + 173
Step 2: Since the reminder 291 ≠ 0, we apply division lemma to 173 and 291, to get
291 = 173 x 1 + 118
Step 3: We consider the new divisor 173 and the new remainder 118, and apply the division lemma to get
173 = 118 x 1 + 55
We consider the new divisor 118 and the new remainder 55,and apply the division lemma to get
118 = 55 x 2 + 8
We consider the new divisor 55 and the new remainder 8,and apply the division lemma to get
55 = 8 x 6 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 291 and 3665 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(55,8) = HCF(118,55) = HCF(173,118) = HCF(291,173) = HCF(3665,291) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6456 > 1, we apply the division lemma to 6456 and 1, to get
6456 = 1 x 6456 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6456 is 1
Notice that 1 = HCF(6456,1) .
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Frequently Asked Questions on HCF of 291, 3665, 6456 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 291, 3665, 6456?
Answer: HCF of 291, 3665, 6456 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 291, 3665, 6456 using Euclid's Algorithm?
Answer: For arbitrary numbers 291, 3665, 6456 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.