Highest Common Factor of 6488, 4711, 61741 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 6488, 4711, 61741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6488, 4711, 61741 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 6488, 4711, 61741 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 6488, 4711, 61741 is 1.

HCF(6488, 4711, 61741) = 1

HCF of 6488, 4711, 61741 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 6488, 4711, 61741 is 1.

Highest Common Factor of 6488,4711,61741 using Euclid's algorithm

Highest Common Factor of 6488,4711,61741 is 1

Step 1: Since 6488 > 4711, we apply the division lemma to 6488 and 4711, to get

6488 = 4711 x 1 + 1777

Step 2: Since the reminder 4711 ≠ 0, we apply division lemma to 1777 and 4711, to get

4711 = 1777 x 2 + 1157

Step 3: We consider the new divisor 1777 and the new remainder 1157, and apply the division lemma to get

1777 = 1157 x 1 + 620

We consider the new divisor 1157 and the new remainder 620,and apply the division lemma to get

1157 = 620 x 1 + 537

We consider the new divisor 620 and the new remainder 537,and apply the division lemma to get

620 = 537 x 1 + 83

We consider the new divisor 537 and the new remainder 83,and apply the division lemma to get

537 = 83 x 6 + 39

We consider the new divisor 83 and the new remainder 39,and apply the division lemma to get

83 = 39 x 2 + 5

We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get

39 = 5 x 7 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6488 and 4711 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(83,39) = HCF(537,83) = HCF(620,537) = HCF(1157,620) = HCF(1777,1157) = HCF(4711,1777) = HCF(6488,4711) .

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

Step 1: Since 61741 > 1, we apply the division lemma to 61741 and 1, to get

61741 = 1 x 61741 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61741 is 1

Notice that 1 = HCF(61741,1) .

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Frequently Asked Questions on HCF of 6488, 4711, 61741 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 6488, 4711, 61741?

Answer: HCF of 6488, 4711, 61741 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6488, 4711, 61741 using Euclid's Algorithm?

Answer: For arbitrary numbers 6488, 4711, 61741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.