Highest Common Factor of 4546, 1931, 64963 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 4546, 1931, 64963 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4546, 1931, 64963 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 4546, 1931, 64963 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 4546, 1931, 64963 is 1.

HCF(4546, 1931, 64963) = 1

HCF of 4546, 1931, 64963 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 4546, 1931, 64963 is 1.

Highest Common Factor of 4546,1931,64963 using Euclid's algorithm

Highest Common Factor of 4546,1931,64963 is 1

Step 1: Since 4546 > 1931, we apply the division lemma to 4546 and 1931, to get

4546 = 1931 x 2 + 684

Step 2: Since the reminder 1931 ≠ 0, we apply division lemma to 684 and 1931, to get

1931 = 684 x 2 + 563

Step 3: We consider the new divisor 684 and the new remainder 563, and apply the division lemma to get

684 = 563 x 1 + 121

We consider the new divisor 563 and the new remainder 121,and apply the division lemma to get

563 = 121 x 4 + 79

We consider the new divisor 121 and the new remainder 79,and apply the division lemma to get

121 = 79 x 1 + 42

We consider the new divisor 79 and the new remainder 42,and apply the division lemma to get

79 = 42 x 1 + 37

We consider the new divisor 42 and the new remainder 37,and apply the division lemma to get

42 = 37 x 1 + 5

We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get

37 = 5 x 7 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4546 and 1931 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(42,37) = HCF(79,42) = HCF(121,79) = HCF(563,121) = HCF(684,563) = HCF(1931,684) = HCF(4546,1931) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 64963 > 1, we apply the division lemma to 64963 and 1, to get

64963 = 1 x 64963 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64963 is 1

Notice that 1 = HCF(64963,1) .

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Frequently Asked Questions on HCF of 4546, 1931, 64963 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 4546, 1931, 64963?

Answer: HCF of 4546, 1931, 64963 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4546, 1931, 64963 using Euclid's Algorithm?

Answer: For arbitrary numbers 4546, 1931, 64963 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.