Highest Common Factor of 4995, 7407, 19528 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 4995, 7407, 19528 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4995, 7407, 19528 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 4995, 7407, 19528 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 4995, 7407, 19528 is 1.

HCF(4995, 7407, 19528) = 1

HCF of 4995, 7407, 19528 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 4995, 7407, 19528 is 1.

Highest Common Factor of 4995,7407,19528 using Euclid's algorithm

Highest Common Factor of 4995,7407,19528 is 1

Step 1: Since 7407 > 4995, we apply the division lemma to 7407 and 4995, to get

7407 = 4995 x 1 + 2412

Step 2: Since the reminder 4995 ≠ 0, we apply division lemma to 2412 and 4995, to get

4995 = 2412 x 2 + 171

Step 3: We consider the new divisor 2412 and the new remainder 171, and apply the division lemma to get

2412 = 171 x 14 + 18

We consider the new divisor 171 and the new remainder 18,and apply the division lemma to get

171 = 18 x 9 + 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 4995 and 7407 is 9

Notice that 9 = HCF(18,9) = HCF(171,18) = HCF(2412,171) = HCF(4995,2412) = HCF(7407,4995) .

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

Step 1: Since 19528 > 9, we apply the division lemma to 19528 and 9, to get

19528 = 9 x 2169 + 7

Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 7 and 9, to get

9 = 7 x 1 + 2

Step 3: We consider the new divisor 7 and the new remainder 2, and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 19528 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(19528,9) .

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Frequently Asked Questions on HCF of 4995, 7407, 19528 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 4995, 7407, 19528?

Answer: HCF of 4995, 7407, 19528 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4995, 7407, 19528 using Euclid's Algorithm?

Answer: For arbitrary numbers 4995, 7407, 19528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.