Highest Common Factor of 631, 960, 246, 194 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 631, 960, 246, 194 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 631, 960, 246, 194 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 631, 960, 246, 194 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 631, 960, 246, 194 is 1.

HCF(631, 960, 246, 194) = 1

HCF of 631, 960, 246, 194 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 631, 960, 246, 194 is 1.

Highest Common Factor of 631,960,246,194 using Euclid's algorithm

Highest Common Factor of 631,960,246,194 is 1

Step 1: Since 960 > 631, we apply the division lemma to 960 and 631, to get

960 = 631 x 1 + 329

Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 329 and 631, to get

631 = 329 x 1 + 302

Step 3: We consider the new divisor 329 and the new remainder 302, and apply the division lemma to get

329 = 302 x 1 + 27

We consider the new divisor 302 and the new remainder 27,and apply the division lemma to get

302 = 27 x 11 + 5

We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get

27 = 5 x 5 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 631 and 960 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(302,27) = HCF(329,302) = HCF(631,329) = HCF(960,631) .

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

Step 1: Since 246 > 1, we apply the division lemma to 246 and 1, to get

246 = 1 x 246 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 246 is 1

Notice that 1 = HCF(246,1) .

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

Step 1: Since 194 > 1, we apply the division lemma to 194 and 1, to get

194 = 1 x 194 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 194 is 1

Notice that 1 = HCF(194,1) .

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Frequently Asked Questions on HCF of 631, 960, 246, 194 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 631, 960, 246, 194?

Answer: HCF of 631, 960, 246, 194 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 631, 960, 246, 194 using Euclid's Algorithm?

Answer: For arbitrary numbers 631, 960, 246, 194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.