Highest Common Factor of 1921, 9781, 87837 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 1921, 9781, 87837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1921, 9781, 87837 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 1921, 9781, 87837 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 1921, 9781, 87837 is 1.

HCF(1921, 9781, 87837) = 1

HCF of 1921, 9781, 87837 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 1921, 9781, 87837 is 1.

Highest Common Factor of 1921,9781,87837 using Euclid's algorithm

Highest Common Factor of 1921,9781,87837 is 1

Step 1: Since 9781 > 1921, we apply the division lemma to 9781 and 1921, to get

9781 = 1921 x 5 + 176

Step 2: Since the reminder 1921 ≠ 0, we apply division lemma to 176 and 1921, to get

1921 = 176 x 10 + 161

Step 3: We consider the new divisor 176 and the new remainder 161, and apply the division lemma to get

176 = 161 x 1 + 15

We consider the new divisor 161 and the new remainder 15,and apply the division lemma to get

161 = 15 x 10 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1921 and 9781 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(161,15) = HCF(176,161) = HCF(1921,176) = HCF(9781,1921) .

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

Step 1: Since 87837 > 1, we apply the division lemma to 87837 and 1, to get

87837 = 1 x 87837 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87837 is 1

Notice that 1 = HCF(87837,1) .

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Frequently Asked Questions on HCF of 1921, 9781, 87837 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 1921, 9781, 87837?

Answer: HCF of 1921, 9781, 87837 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1921, 9781, 87837 using Euclid's Algorithm?

Answer: For arbitrary numbers 1921, 9781, 87837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.