Highest Common Factor of 6425, 7927, 73290 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 6425, 7927, 73290 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6425, 7927, 73290 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 6425, 7927, 73290 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 6425, 7927, 73290 is 1.

HCF(6425, 7927, 73290) = 1

HCF of 6425, 7927, 73290 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 6425, 7927, 73290 is 1.

Highest Common Factor of 6425,7927,73290 using Euclid's algorithm

Highest Common Factor of 6425,7927,73290 is 1

Step 1: Since 7927 > 6425, we apply the division lemma to 7927 and 6425, to get

7927 = 6425 x 1 + 1502

Step 2: Since the reminder 6425 ≠ 0, we apply division lemma to 1502 and 6425, to get

6425 = 1502 x 4 + 417

Step 3: We consider the new divisor 1502 and the new remainder 417, and apply the division lemma to get

1502 = 417 x 3 + 251

We consider the new divisor 417 and the new remainder 251,and apply the division lemma to get

417 = 251 x 1 + 166

We consider the new divisor 251 and the new remainder 166,and apply the division lemma to get

251 = 166 x 1 + 85

We consider the new divisor 166 and the new remainder 85,and apply the division lemma to get

166 = 85 x 1 + 81

We consider the new divisor 85 and the new remainder 81,and apply the division lemma to get

85 = 81 x 1 + 4

We consider the new divisor 81 and the new remainder 4,and apply the division lemma to get

81 = 4 x 20 + 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 6425 and 7927 is 1

Notice that 1 = HCF(4,1) = HCF(81,4) = HCF(85,81) = HCF(166,85) = HCF(251,166) = HCF(417,251) = HCF(1502,417) = HCF(6425,1502) = HCF(7927,6425) .

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

Step 1: Since 73290 > 1, we apply the division lemma to 73290 and 1, to get

73290 = 1 x 73290 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73290 is 1

Notice that 1 = HCF(73290,1) .

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Frequently Asked Questions on HCF of 6425, 7927, 73290 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 6425, 7927, 73290?

Answer: HCF of 6425, 7927, 73290 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6425, 7927, 73290 using Euclid's Algorithm?

Answer: For arbitrary numbers 6425, 7927, 73290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.