Highest Common Factor of 950, 582, 635 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, 582, 635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 950, 582, 635 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, 582, 635 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, 582, 635 is 1.

HCF(950, 582, 635) = 1

HCF of 950, 582, 635 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, 582, 635 is 1.

Highest Common Factor of 950,582,635 using Euclid's algorithm

Highest Common Factor of 950,582,635 is 1

Step 1: Since 950 > 582, we apply the division lemma to 950 and 582, to get

950 = 582 x 1 + 368

Step 2: Since the reminder 582 ≠ 0, we apply division lemma to 368 and 582, to get

582 = 368 x 1 + 214

Step 3: We consider the new divisor 368 and the new remainder 214, and apply the division lemma to get

368 = 214 x 1 + 154

We consider the new divisor 214 and the new remainder 154,and apply the division lemma to get

214 = 154 x 1 + 60

We consider the new divisor 154 and the new remainder 60,and apply the division lemma to get

154 = 60 x 2 + 34

We consider the new divisor 60 and the new remainder 34,and apply the division lemma to get

60 = 34 x 1 + 26

We consider the new divisor 34 and the new remainder 26,and apply the division lemma to get

34 = 26 x 1 + 8

We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get

26 = 8 x 3 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 950 and 582 is 2

Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(34,26) = HCF(60,34) = HCF(154,60) = HCF(214,154) = HCF(368,214) = HCF(582,368) = HCF(950,582) .

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

Step 1: Since 635 > 2, we apply the division lemma to 635 and 2, to get

635 = 2 x 317 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 635 is 1

Notice that 1 = HCF(2,1) = HCF(635,2) .

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Frequently Asked Questions on HCF of 950, 582, 635 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, 582, 635?

Answer: HCF of 950, 582, 635 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 950, 582, 635 using Euclid's Algorithm?

Answer: For arbitrary numbers 950, 582, 635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.