Highest Common Factor of 8408, 4462, 60477 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 8408, 4462, 60477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8408, 4462, 60477 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 8408, 4462, 60477 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 8408, 4462, 60477 is 1.

HCF(8408, 4462, 60477) = 1

HCF of 8408, 4462, 60477 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 8408, 4462, 60477 is 1.

Highest Common Factor of 8408,4462,60477 using Euclid's algorithm

Highest Common Factor of 8408,4462,60477 is 1

Step 1: Since 8408 > 4462, we apply the division lemma to 8408 and 4462, to get

8408 = 4462 x 1 + 3946

Step 2: Since the reminder 4462 ≠ 0, we apply division lemma to 3946 and 4462, to get

4462 = 3946 x 1 + 516

Step 3: We consider the new divisor 3946 and the new remainder 516, and apply the division lemma to get

3946 = 516 x 7 + 334

We consider the new divisor 516 and the new remainder 334,and apply the division lemma to get

516 = 334 x 1 + 182

We consider the new divisor 334 and the new remainder 182,and apply the division lemma to get

334 = 182 x 1 + 152

We consider the new divisor 182 and the new remainder 152,and apply the division lemma to get

182 = 152 x 1 + 30

We consider the new divisor 152 and the new remainder 30,and apply the division lemma to get

152 = 30 x 5 + 2

We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get

30 = 2 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8408 and 4462 is 2

Notice that 2 = HCF(30,2) = HCF(152,30) = HCF(182,152) = HCF(334,182) = HCF(516,334) = HCF(3946,516) = HCF(4462,3946) = HCF(8408,4462) .

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

Step 1: Since 60477 > 2, we apply the division lemma to 60477 and 2, to get

60477 = 2 x 30238 + 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 60477 is 1

Notice that 1 = HCF(2,1) = HCF(60477,2) .

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Frequently Asked Questions on HCF of 8408, 4462, 60477 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 8408, 4462, 60477?

Answer: HCF of 8408, 4462, 60477 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8408, 4462, 60477 using Euclid's Algorithm?

Answer: For arbitrary numbers 8408, 4462, 60477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.