Highest Common Factor of 537, 881, 959 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 537, 881, 959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 537, 881, 959 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 537, 881, 959 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 537, 881, 959 is 1.

HCF(537, 881, 959) = 1

HCF of 537, 881, 959 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 537, 881, 959 is 1.

Highest Common Factor of 537,881,959 using Euclid's algorithm

Highest Common Factor of 537,881,959 is 1

Step 1: Since 881 > 537, we apply the division lemma to 881 and 537, to get

881 = 537 x 1 + 344

Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 344 and 537, to get

537 = 344 x 1 + 193

Step 3: We consider the new divisor 344 and the new remainder 193, and apply the division lemma to get

344 = 193 x 1 + 151

We consider the new divisor 193 and the new remainder 151,and apply the division lemma to get

193 = 151 x 1 + 42

We consider the new divisor 151 and the new remainder 42,and apply the division lemma to get

151 = 42 x 3 + 25

We consider the new divisor 42 and the new remainder 25,and apply the division lemma to get

42 = 25 x 1 + 17

We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get

25 = 17 x 1 + 8

We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get

17 = 8 x 2 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 537 and 881 is 1

Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(42,25) = HCF(151,42) = HCF(193,151) = HCF(344,193) = HCF(537,344) = HCF(881,537) .

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

Step 1: Since 959 > 1, we apply the division lemma to 959 and 1, to get

959 = 1 x 959 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 959 is 1

Notice that 1 = HCF(959,1) .

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Frequently Asked Questions on HCF of 537, 881, 959 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 537, 881, 959?

Answer: HCF of 537, 881, 959 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 537, 881, 959 using Euclid's Algorithm?

Answer: For arbitrary numbers 537, 881, 959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.