Highest Common Factor of 9868, 3921, 39255 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 9868, 3921, 39255 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9868, 3921, 39255 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 9868, 3921, 39255 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 9868, 3921, 39255 is 1.

HCF(9868, 3921, 39255) = 1

HCF of 9868, 3921, 39255 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 9868, 3921, 39255 is 1.

Highest Common Factor of 9868,3921,39255 using Euclid's algorithm

Highest Common Factor of 9868,3921,39255 is 1

Step 1: Since 9868 > 3921, we apply the division lemma to 9868 and 3921, to get

9868 = 3921 x 2 + 2026

Step 2: Since the reminder 3921 ≠ 0, we apply division lemma to 2026 and 3921, to get

3921 = 2026 x 1 + 1895

Step 3: We consider the new divisor 2026 and the new remainder 1895, and apply the division lemma to get

2026 = 1895 x 1 + 131

We consider the new divisor 1895 and the new remainder 131,and apply the division lemma to get

1895 = 131 x 14 + 61

We consider the new divisor 131 and the new remainder 61,and apply the division lemma to get

131 = 61 x 2 + 9

We consider the new divisor 61 and the new remainder 9,and apply the division lemma to get

61 = 9 x 6 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 9868 and 3921 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(61,9) = HCF(131,61) = HCF(1895,131) = HCF(2026,1895) = HCF(3921,2026) = HCF(9868,3921) .

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

Step 1: Since 39255 > 1, we apply the division lemma to 39255 and 1, to get

39255 = 1 x 39255 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39255 is 1

Notice that 1 = HCF(39255,1) .

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Frequently Asked Questions on HCF of 9868, 3921, 39255 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 9868, 3921, 39255?

Answer: HCF of 9868, 3921, 39255 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9868, 3921, 39255 using Euclid's Algorithm?

Answer: For arbitrary numbers 9868, 3921, 39255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.