Highest Common Factor of 6713, 5826, 64348 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 6713, 5826, 64348 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6713, 5826, 64348 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 6713, 5826, 64348 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 6713, 5826, 64348 is 1.

HCF(6713, 5826, 64348) = 1

HCF of 6713, 5826, 64348 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 6713, 5826, 64348 is 1.

Highest Common Factor of 6713,5826,64348 using Euclid's algorithm

Highest Common Factor of 6713,5826,64348 is 1

Step 1: Since 6713 > 5826, we apply the division lemma to 6713 and 5826, to get

6713 = 5826 x 1 + 887

Step 2: Since the reminder 5826 ≠ 0, we apply division lemma to 887 and 5826, to get

5826 = 887 x 6 + 504

Step 3: We consider the new divisor 887 and the new remainder 504, and apply the division lemma to get

887 = 504 x 1 + 383

We consider the new divisor 504 and the new remainder 383,and apply the division lemma to get

504 = 383 x 1 + 121

We consider the new divisor 383 and the new remainder 121,and apply the division lemma to get

383 = 121 x 3 + 20

We consider the new divisor 121 and the new remainder 20,and apply the division lemma to get

121 = 20 x 6 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6713 and 5826 is 1

Notice that 1 = HCF(20,1) = HCF(121,20) = HCF(383,121) = HCF(504,383) = HCF(887,504) = HCF(5826,887) = HCF(6713,5826) .

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

Step 1: Since 64348 > 1, we apply the division lemma to 64348 and 1, to get

64348 = 1 x 64348 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64348 is 1

Notice that 1 = HCF(64348,1) .

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Frequently Asked Questions on HCF of 6713, 5826, 64348 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 6713, 5826, 64348?

Answer: HCF of 6713, 5826, 64348 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6713, 5826, 64348 using Euclid's Algorithm?

Answer: For arbitrary numbers 6713, 5826, 64348 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.