Highest Common Factor of 5557, 5064 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 5557, 5064 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5557, 5064 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 5557, 5064 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 5557, 5064 is 1.

HCF(5557, 5064) = 1

HCF of 5557, 5064 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 5557, 5064 is 1.

Highest Common Factor of 5557,5064 using Euclid's algorithm

Highest Common Factor of 5557,5064 is 1

Step 1: Since 5557 > 5064, we apply the division lemma to 5557 and 5064, to get

5557 = 5064 x 1 + 493

Step 2: Since the reminder 5064 ≠ 0, we apply division lemma to 493 and 5064, to get

5064 = 493 x 10 + 134

Step 3: We consider the new divisor 493 and the new remainder 134, and apply the division lemma to get

493 = 134 x 3 + 91

We consider the new divisor 134 and the new remainder 91,and apply the division lemma to get

134 = 91 x 1 + 43

We consider the new divisor 91 and the new remainder 43,and apply the division lemma to get

91 = 43 x 2 + 5

We consider the new divisor 43 and the new remainder 5,and apply the division lemma to get

43 = 5 x 8 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5557 and 5064 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(43,5) = HCF(91,43) = HCF(134,91) = HCF(493,134) = HCF(5064,493) = HCF(5557,5064) .

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Frequently Asked Questions on HCF of 5557, 5064 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 5557, 5064?

Answer: HCF of 5557, 5064 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5557, 5064 using Euclid's Algorithm?

Answer: For arbitrary numbers 5557, 5064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.