Highest Common Factor of 630, 979, 388, 145 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, 979, 388, 145 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 630, 979, 388, 145 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, 979, 388, 145 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, 979, 388, 145 is 1.

HCF(630, 979, 388, 145) = 1

HCF of 630, 979, 388, 145 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, 979, 388, 145 is 1.

Highest Common Factor of 630,979,388,145 using Euclid's algorithm

Highest Common Factor of 630,979,388,145 is 1

Step 1: Since 979 > 630, we apply the division lemma to 979 and 630, to get

979 = 630 x 1 + 349

Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 349 and 630, to get

630 = 349 x 1 + 281

Step 3: We consider the new divisor 349 and the new remainder 281, and apply the division lemma to get

349 = 281 x 1 + 68

We consider the new divisor 281 and the new remainder 68,and apply the division lemma to get

281 = 68 x 4 + 9

We consider the new divisor 68 and the new remainder 9,and apply the division lemma to get

68 = 9 x 7 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 630 and 979 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(68,9) = HCF(281,68) = HCF(349,281) = HCF(630,349) = HCF(979,630) .

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

Step 1: Since 388 > 1, we apply the division lemma to 388 and 1, to get

388 = 1 x 388 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 388 is 1

Notice that 1 = HCF(388,1) .

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

Step 1: Since 145 > 1, we apply the division lemma to 145 and 1, to get

145 = 1 x 145 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 145 is 1

Notice that 1 = HCF(145,1) .

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Frequently Asked Questions on HCF of 630, 979, 388, 145 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, 979, 388, 145?

Answer: HCF of 630, 979, 388, 145 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 630, 979, 388, 145 using Euclid's Algorithm?

Answer: For arbitrary numbers 630, 979, 388, 145 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.