Highest Common Factor of 950, 3551, 4651 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 950, 3551, 4651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 950, 3551, 4651 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 950, 3551, 4651 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 950, 3551, 4651 is 1.

HCF(950, 3551, 4651) = 1

HCF of 950, 3551, 4651 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 950, 3551, 4651 is 1.

Highest Common Factor of 950,3551,4651 using Euclid's algorithm

Highest Common Factor of 950,3551,4651 is 1

Step 1: Since 3551 > 950, we apply the division lemma to 3551 and 950, to get

3551 = 950 x 3 + 701

Step 2: Since the reminder 950 ≠ 0, we apply division lemma to 701 and 950, to get

950 = 701 x 1 + 249

Step 3: We consider the new divisor 701 and the new remainder 249, and apply the division lemma to get

701 = 249 x 2 + 203

We consider the new divisor 249 and the new remainder 203,and apply the division lemma to get

249 = 203 x 1 + 46

We consider the new divisor 203 and the new remainder 46,and apply the division lemma to get

203 = 46 x 4 + 19

We consider the new divisor 46 and the new remainder 19,and apply the division lemma to get

46 = 19 x 2 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 950 and 3551 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(46,19) = HCF(203,46) = HCF(249,203) = HCF(701,249) = HCF(950,701) = HCF(3551,950) .

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

Step 1: Since 4651 > 1, we apply the division lemma to 4651 and 1, to get

4651 = 1 x 4651 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4651 is 1

Notice that 1 = HCF(4651,1) .

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Frequently Asked Questions on HCF of 950, 3551, 4651 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 950, 3551, 4651?

Answer: HCF of 950, 3551, 4651 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 950, 3551, 4651 using Euclid's Algorithm?

Answer: For arbitrary numbers 950, 3551, 4651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.