Highest Common Factor of 630, 854, 767, 125 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 630, 854, 767, 125 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 630, 854, 767, 125 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 630, 854, 767, 125 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 630, 854, 767, 125 is 1.

HCF(630, 854, 767, 125) = 1

HCF of 630, 854, 767, 125 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 630, 854, 767, 125 is 1.

Highest Common Factor of 630,854,767,125 using Euclid's algorithm

Highest Common Factor of 630,854,767,125 is 1

Step 1: Since 854 > 630, we apply the division lemma to 854 and 630, to get

854 = 630 x 1 + 224

Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 224 and 630, to get

630 = 224 x 2 + 182

Step 3: We consider the new divisor 224 and the new remainder 182, and apply the division lemma to get

224 = 182 x 1 + 42

We consider the new divisor 182 and the new remainder 42,and apply the division lemma to get

182 = 42 x 4 + 14

We consider the new divisor 42 and the new remainder 14,and apply the division lemma to get

42 = 14 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 630 and 854 is 14

Notice that 14 = HCF(42,14) = HCF(182,42) = HCF(224,182) = HCF(630,224) = HCF(854,630) .

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

Step 1: Since 767 > 14, we apply the division lemma to 767 and 14, to get

767 = 14 x 54 + 11

Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 11 and 14, to get

14 = 11 x 1 + 3

Step 3: We consider the new divisor 11 and the new remainder 3, and apply the division lemma to get

11 = 3 x 3 + 2

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

3 = 2 x 1 + 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 14 and 767 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(767,14) .

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

Step 1: Since 125 > 1, we apply the division lemma to 125 and 1, to get

125 = 1 x 125 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 125 is 1

Notice that 1 = HCF(125,1) .

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Frequently Asked Questions on HCF of 630, 854, 767, 125 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 630, 854, 767, 125?

Answer: HCF of 630, 854, 767, 125 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 630, 854, 767, 125 using Euclid's Algorithm?

Answer: For arbitrary numbers 630, 854, 767, 125 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.