Highest Common Factor of 975, 6181, 4730 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 975, 6181, 4730 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 975, 6181, 4730 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 975, 6181, 4730 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 975, 6181, 4730 is 1.

HCF(975, 6181, 4730) = 1

HCF of 975, 6181, 4730 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 975, 6181, 4730 is 1.

Highest Common Factor of 975,6181,4730 using Euclid's algorithm

Highest Common Factor of 975,6181,4730 is 1

Step 1: Since 6181 > 975, we apply the division lemma to 6181 and 975, to get

6181 = 975 x 6 + 331

Step 2: Since the reminder 975 ≠ 0, we apply division lemma to 331 and 975, to get

975 = 331 x 2 + 313

Step 3: We consider the new divisor 331 and the new remainder 313, and apply the division lemma to get

331 = 313 x 1 + 18

We consider the new divisor 313 and the new remainder 18,and apply the division lemma to get

313 = 18 x 17 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 975 and 6181 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(313,18) = HCF(331,313) = HCF(975,331) = HCF(6181,975) .

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

Step 1: Since 4730 > 1, we apply the division lemma to 4730 and 1, to get

4730 = 1 x 4730 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4730 is 1

Notice that 1 = HCF(4730,1) .

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Frequently Asked Questions on HCF of 975, 6181, 4730 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 975, 6181, 4730?

Answer: HCF of 975, 6181, 4730 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 975, 6181, 4730 using Euclid's Algorithm?

Answer: For arbitrary numbers 975, 6181, 4730 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.