Highest Common Factor of 9891, 8458, 64741 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 9891, 8458, 64741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9891, 8458, 64741 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 9891, 8458, 64741 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 9891, 8458, 64741 is 1.

HCF(9891, 8458, 64741) = 1

HCF of 9891, 8458, 64741 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 9891, 8458, 64741 is 1.

Highest Common Factor of 9891,8458,64741 using Euclid's algorithm

Highest Common Factor of 9891,8458,64741 is 1

Step 1: Since 9891 > 8458, we apply the division lemma to 9891 and 8458, to get

9891 = 8458 x 1 + 1433

Step 2: Since the reminder 8458 ≠ 0, we apply division lemma to 1433 and 8458, to get

8458 = 1433 x 5 + 1293

Step 3: We consider the new divisor 1433 and the new remainder 1293, and apply the division lemma to get

1433 = 1293 x 1 + 140

We consider the new divisor 1293 and the new remainder 140,and apply the division lemma to get

1293 = 140 x 9 + 33

We consider the new divisor 140 and the new remainder 33,and apply the division lemma to get

140 = 33 x 4 + 8

We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get

33 = 8 x 4 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9891 and 8458 is 1

Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(140,33) = HCF(1293,140) = HCF(1433,1293) = HCF(8458,1433) = HCF(9891,8458) .

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

Step 1: Since 64741 > 1, we apply the division lemma to 64741 and 1, to get

64741 = 1 x 64741 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64741 is 1

Notice that 1 = HCF(64741,1) .

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Frequently Asked Questions on HCF of 9891, 8458, 64741 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 9891, 8458, 64741?

Answer: HCF of 9891, 8458, 64741 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9891, 8458, 64741 using Euclid's Algorithm?

Answer: For arbitrary numbers 9891, 8458, 64741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.