Highest Common Factor of 478, 769, 630 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 478, 769, 630 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 478, 769, 630 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 478, 769, 630 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 478, 769, 630 is 1.

HCF(478, 769, 630) = 1

HCF of 478, 769, 630 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 478, 769, 630 is 1.

Highest Common Factor of 478,769,630 using Euclid's algorithm

Highest Common Factor of 478,769,630 is 1

Step 1: Since 769 > 478, we apply the division lemma to 769 and 478, to get

769 = 478 x 1 + 291

Step 2: Since the reminder 478 ≠ 0, we apply division lemma to 291 and 478, to get

478 = 291 x 1 + 187

Step 3: We consider the new divisor 291 and the new remainder 187, and apply the division lemma to get

291 = 187 x 1 + 104

We consider the new divisor 187 and the new remainder 104,and apply the division lemma to get

187 = 104 x 1 + 83

We consider the new divisor 104 and the new remainder 83,and apply the division lemma to get

104 = 83 x 1 + 21

We consider the new divisor 83 and the new remainder 21,and apply the division lemma to get

83 = 21 x 3 + 20

We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get

21 = 20 x 1 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 478 and 769 is 1

Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(83,21) = HCF(104,83) = HCF(187,104) = HCF(291,187) = HCF(478,291) = HCF(769,478) .

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

Step 1: Since 630 > 1, we apply the division lemma to 630 and 1, to get

630 = 1 x 630 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 630 is 1

Notice that 1 = HCF(630,1) .

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Frequently Asked Questions on HCF of 478, 769, 630 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 478, 769, 630?

Answer: HCF of 478, 769, 630 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 478, 769, 630 using Euclid's Algorithm?

Answer: For arbitrary numbers 478, 769, 630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.