Highest Common Factor of 476, 3264, 5765 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 476, 3264, 5765 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 476, 3264, 5765 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 476, 3264, 5765 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 476, 3264, 5765 is 1.
HCF(476, 3264, 5765) = 1
HCF of 476, 3264, 5765 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 476, 3264, 5765 is 1.
Highest Common Factor of 476,3264,5765 is 1
Step 1: Since 3264 > 476, we apply the division lemma to 3264 and 476, to get
3264 = 476 x 6 + 408
Step 2: Since the reminder 476 ≠ 0, we apply division lemma to 408 and 476, to get
476 = 408 x 1 + 68
Step 3: We consider the new divisor 408 and the new remainder 68, and apply the division lemma to get
408 = 68 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 68, the HCF of 476 and 3264 is 68
Notice that 68 = HCF(408,68) = HCF(476,408) = HCF(3264,476) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5765 > 68, we apply the division lemma to 5765 and 68, to get
5765 = 68 x 84 + 53
Step 2: Since the reminder 68 ≠ 0, we apply division lemma to 53 and 68, to get
68 = 53 x 1 + 15
Step 3: We consider the new divisor 53 and the new remainder 15, and apply the division lemma to get
53 = 15 x 3 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 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 68 and 5765 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(53,15) = HCF(68,53) = HCF(5765,68) .
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Frequently Asked Questions on HCF of 476, 3264, 5765 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 476, 3264, 5765?
Answer: HCF of 476, 3264, 5765 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 476, 3264, 5765 using Euclid's Algorithm?
Answer: For arbitrary numbers 476, 3264, 5765 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.