Highest Common Factor of 6904, 9991, 52180 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 6904, 9991, 52180 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6904, 9991, 52180 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 6904, 9991, 52180 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 6904, 9991, 52180 is 1.

HCF(6904, 9991, 52180) = 1

HCF of 6904, 9991, 52180 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 6904, 9991, 52180 is 1.

Highest Common Factor of 6904,9991,52180 using Euclid's algorithm

Highest Common Factor of 6904,9991,52180 is 1

Step 1: Since 9991 > 6904, we apply the division lemma to 9991 and 6904, to get

9991 = 6904 x 1 + 3087

Step 2: Since the reminder 6904 ≠ 0, we apply division lemma to 3087 and 6904, to get

6904 = 3087 x 2 + 730

Step 3: We consider the new divisor 3087 and the new remainder 730, and apply the division lemma to get

3087 = 730 x 4 + 167

We consider the new divisor 730 and the new remainder 167,and apply the division lemma to get

730 = 167 x 4 + 62

We consider the new divisor 167 and the new remainder 62,and apply the division lemma to get

167 = 62 x 2 + 43

We consider the new divisor 62 and the new remainder 43,and apply the division lemma to get

62 = 43 x 1 + 19

We consider the new divisor 43 and the new remainder 19,and apply the division lemma to get

43 = 19 x 2 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 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 6904 and 9991 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(43,19) = HCF(62,43) = HCF(167,62) = HCF(730,167) = HCF(3087,730) = HCF(6904,3087) = HCF(9991,6904) .

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

Step 1: Since 52180 > 1, we apply the division lemma to 52180 and 1, to get

52180 = 1 x 52180 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52180 is 1

Notice that 1 = HCF(52180,1) .

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Frequently Asked Questions on HCF of 6904, 9991, 52180 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 6904, 9991, 52180?

Answer: HCF of 6904, 9991, 52180 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6904, 9991, 52180 using Euclid's Algorithm?

Answer: For arbitrary numbers 6904, 9991, 52180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.