Highest Common Factor of 286, 731, 20 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 286, 731, 20 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 286, 731, 20 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 286, 731, 20 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 286, 731, 20 is 1.

HCF(286, 731, 20) = 1

HCF of 286, 731, 20 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 286, 731, 20 is 1.

Highest Common Factor of 286,731,20 using Euclid's algorithm

Highest Common Factor of 286,731,20 is 1

Step 1: Since 731 > 286, we apply the division lemma to 731 and 286, to get

731 = 286 x 2 + 159

Step 2: Since the reminder 286 ≠ 0, we apply division lemma to 159 and 286, to get

286 = 159 x 1 + 127

Step 3: We consider the new divisor 159 and the new remainder 127, and apply the division lemma to get

159 = 127 x 1 + 32

We consider the new divisor 127 and the new remainder 32,and apply the division lemma to get

127 = 32 x 3 + 31

We consider the new divisor 32 and the new remainder 31,and apply the division lemma to get

32 = 31 x 1 + 1

We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get

31 = 1 x 31 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 286 and 731 is 1

Notice that 1 = HCF(31,1) = HCF(32,31) = HCF(127,32) = HCF(159,127) = HCF(286,159) = HCF(731,286) .

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

Step 1: Since 20 > 1, we apply the division lemma to 20 and 1, to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 20 is 1

Notice that 1 = HCF(20,1) .

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Frequently Asked Questions on HCF of 286, 731, 20 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 286, 731, 20?

Answer: HCF of 286, 731, 20 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 286, 731, 20 using Euclid's Algorithm?

Answer: For arbitrary numbers 286, 731, 20 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.