Highest Common Factor of 4977, 7425, 74254 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 4977, 7425, 74254 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4977, 7425, 74254 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 4977, 7425, 74254 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 4977, 7425, 74254 is 1.

HCF(4977, 7425, 74254) = 1

HCF of 4977, 7425, 74254 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 4977, 7425, 74254 is 1.

Highest Common Factor of 4977,7425,74254 using Euclid's algorithm

Highest Common Factor of 4977,7425,74254 is 1

Step 1: Since 7425 > 4977, we apply the division lemma to 7425 and 4977, to get

7425 = 4977 x 1 + 2448

Step 2: Since the reminder 4977 ≠ 0, we apply division lemma to 2448 and 4977, to get

4977 = 2448 x 2 + 81

Step 3: We consider the new divisor 2448 and the new remainder 81, and apply the division lemma to get

2448 = 81 x 30 + 18

We consider the new divisor 81 and the new remainder 18,and apply the division lemma to get

81 = 18 x 4 + 9

We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get

18 = 9 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4977 and 7425 is 9

Notice that 9 = HCF(18,9) = HCF(81,18) = HCF(2448,81) = HCF(4977,2448) = HCF(7425,4977) .

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

Step 1: Since 74254 > 9, we apply the division lemma to 74254 and 9, to get

74254 = 9 x 8250 + 4

Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 4 and 9, to get

9 = 4 x 2 + 1

Step 3: 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 9 and 74254 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(74254,9) .

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Frequently Asked Questions on HCF of 4977, 7425, 74254 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 4977, 7425, 74254?

Answer: HCF of 4977, 7425, 74254 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4977, 7425, 74254 using Euclid's Algorithm?

Answer: For arbitrary numbers 4977, 7425, 74254 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.