Highest Common Factor of 950, 786, 221, 537 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, 786, 221, 537 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 950, 786, 221, 537 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, 786, 221, 537 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, 786, 221, 537 is 1.

HCF(950, 786, 221, 537) = 1

HCF of 950, 786, 221, 537 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, 786, 221, 537 is 1.

Highest Common Factor of 950,786,221,537 using Euclid's algorithm

Highest Common Factor of 950,786,221,537 is 1

Step 1: Since 950 > 786, we apply the division lemma to 950 and 786, to get

950 = 786 x 1 + 164

Step 2: Since the reminder 786 ≠ 0, we apply division lemma to 164 and 786, to get

786 = 164 x 4 + 130

Step 3: We consider the new divisor 164 and the new remainder 130, and apply the division lemma to get

164 = 130 x 1 + 34

We consider the new divisor 130 and the new remainder 34,and apply the division lemma to get

130 = 34 x 3 + 28

We consider the new divisor 34 and the new remainder 28,and apply the division lemma to get

34 = 28 x 1 + 6

We consider the new divisor 28 and the new remainder 6,and apply the division lemma to get

28 = 6 x 4 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 950 and 786 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(28,6) = HCF(34,28) = HCF(130,34) = HCF(164,130) = HCF(786,164) = HCF(950,786) .

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

Step 1: Since 221 > 2, we apply the division lemma to 221 and 2, to get

221 = 2 x 110 + 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 221 is 1

Notice that 1 = HCF(2,1) = HCF(221,2) .

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

Step 1: Since 537 > 1, we apply the division lemma to 537 and 1, to get

537 = 1 x 537 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 537 is 1

Notice that 1 = HCF(537,1) .

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Frequently Asked Questions on HCF of 950, 786, 221, 537 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, 786, 221, 537?

Answer: HCF of 950, 786, 221, 537 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 950, 786, 221, 537 using Euclid's Algorithm?

Answer: For arbitrary numbers 950, 786, 221, 537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.