Highest Common Factor of 9636, 1478, 90457 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 9636, 1478, 90457 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9636, 1478, 90457 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 9636, 1478, 90457 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 9636, 1478, 90457 is 1.

HCF(9636, 1478, 90457) = 1

HCF of 9636, 1478, 90457 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 9636, 1478, 90457 is 1.

Highest Common Factor of 9636,1478,90457 using Euclid's algorithm

Highest Common Factor of 9636,1478,90457 is 1

Step 1: Since 9636 > 1478, we apply the division lemma to 9636 and 1478, to get

9636 = 1478 x 6 + 768

Step 2: Since the reminder 1478 ≠ 0, we apply division lemma to 768 and 1478, to get

1478 = 768 x 1 + 710

Step 3: We consider the new divisor 768 and the new remainder 710, and apply the division lemma to get

768 = 710 x 1 + 58

We consider the new divisor 710 and the new remainder 58,and apply the division lemma to get

710 = 58 x 12 + 14

We consider the new divisor 58 and the new remainder 14,and apply the division lemma to get

58 = 14 x 4 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9636 and 1478 is 2

Notice that 2 = HCF(14,2) = HCF(58,14) = HCF(710,58) = HCF(768,710) = HCF(1478,768) = HCF(9636,1478) .

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

Step 1: Since 90457 > 2, we apply the division lemma to 90457 and 2, to get

90457 = 2 x 45228 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 90457 is 1

Notice that 1 = HCF(2,1) = HCF(90457,2) .

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Frequently Asked Questions on HCF of 9636, 1478, 90457 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 9636, 1478, 90457?

Answer: HCF of 9636, 1478, 90457 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9636, 1478, 90457 using Euclid's Algorithm?

Answer: For arbitrary numbers 9636, 1478, 90457 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.