Highest Common Factor of 1935, 6907, 39691 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 1935, 6907, 39691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1935, 6907, 39691 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 1935, 6907, 39691 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 1935, 6907, 39691 is 1.

HCF(1935, 6907, 39691) = 1

HCF of 1935, 6907, 39691 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 1935, 6907, 39691 is 1.

Highest Common Factor of 1935,6907,39691 using Euclid's algorithm

Highest Common Factor of 1935,6907,39691 is 1

Step 1: Since 6907 > 1935, we apply the division lemma to 6907 and 1935, to get

6907 = 1935 x 3 + 1102

Step 2: Since the reminder 1935 ≠ 0, we apply division lemma to 1102 and 1935, to get

1935 = 1102 x 1 + 833

Step 3: We consider the new divisor 1102 and the new remainder 833, and apply the division lemma to get

1102 = 833 x 1 + 269

We consider the new divisor 833 and the new remainder 269,and apply the division lemma to get

833 = 269 x 3 + 26

We consider the new divisor 269 and the new remainder 26,and apply the division lemma to get

269 = 26 x 10 + 9

We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get

26 = 9 x 2 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 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 1935 and 6907 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(269,26) = HCF(833,269) = HCF(1102,833) = HCF(1935,1102) = HCF(6907,1935) .

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

Step 1: Since 39691 > 1, we apply the division lemma to 39691 and 1, to get

39691 = 1 x 39691 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39691 is 1

Notice that 1 = HCF(39691,1) .

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Frequently Asked Questions on HCF of 1935, 6907, 39691 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 1935, 6907, 39691?

Answer: HCF of 1935, 6907, 39691 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1935, 6907, 39691 using Euclid's Algorithm?

Answer: For arbitrary numbers 1935, 6907, 39691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.