Highest Common Factor of 4325, 7247, 77619 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 4325, 7247, 77619 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4325, 7247, 77619 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 4325, 7247, 77619 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 4325, 7247, 77619 is 1.

HCF(4325, 7247, 77619) = 1

HCF of 4325, 7247, 77619 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 4325, 7247, 77619 is 1.

Highest Common Factor of 4325,7247,77619 using Euclid's algorithm

Highest Common Factor of 4325,7247,77619 is 1

Step 1: Since 7247 > 4325, we apply the division lemma to 7247 and 4325, to get

7247 = 4325 x 1 + 2922

Step 2: Since the reminder 4325 ≠ 0, we apply division lemma to 2922 and 4325, to get

4325 = 2922 x 1 + 1403

Step 3: We consider the new divisor 2922 and the new remainder 1403, and apply the division lemma to get

2922 = 1403 x 2 + 116

We consider the new divisor 1403 and the new remainder 116,and apply the division lemma to get

1403 = 116 x 12 + 11

We consider the new divisor 116 and the new remainder 11,and apply the division lemma to get

116 = 11 x 10 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4325 and 7247 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(116,11) = HCF(1403,116) = HCF(2922,1403) = HCF(4325,2922) = HCF(7247,4325) .

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

Step 1: Since 77619 > 1, we apply the division lemma to 77619 and 1, to get

77619 = 1 x 77619 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77619 is 1

Notice that 1 = HCF(77619,1) .

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Frequently Asked Questions on HCF of 4325, 7247, 77619 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 4325, 7247, 77619?

Answer: HCF of 4325, 7247, 77619 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4325, 7247, 77619 using Euclid's Algorithm?

Answer: For arbitrary numbers 4325, 7247, 77619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.