Highest Common Factor of 5241, 7312 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 5241, 7312 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5241, 7312 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 5241, 7312 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 5241, 7312 is 1.

HCF(5241, 7312) = 1

HCF of 5241, 7312 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 5241, 7312 is 1.

Highest Common Factor of 5241,7312 using Euclid's algorithm

Highest Common Factor of 5241,7312 is 1

Step 1: Since 7312 > 5241, we apply the division lemma to 7312 and 5241, to get

7312 = 5241 x 1 + 2071

Step 2: Since the reminder 5241 ≠ 0, we apply division lemma to 2071 and 5241, to get

5241 = 2071 x 2 + 1099

Step 3: We consider the new divisor 2071 and the new remainder 1099, and apply the division lemma to get

2071 = 1099 x 1 + 972

We consider the new divisor 1099 and the new remainder 972,and apply the division lemma to get

1099 = 972 x 1 + 127

We consider the new divisor 972 and the new remainder 127,and apply the division lemma to get

972 = 127 x 7 + 83

We consider the new divisor 127 and the new remainder 83,and apply the division lemma to get

127 = 83 x 1 + 44

We consider the new divisor 83 and the new remainder 44,and apply the division lemma to get

83 = 44 x 1 + 39

We consider the new divisor 44 and the new remainder 39,and apply the division lemma to get

44 = 39 x 1 + 5

We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get

39 = 5 x 7 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5241 and 7312 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(44,39) = HCF(83,44) = HCF(127,83) = HCF(972,127) = HCF(1099,972) = HCF(2071,1099) = HCF(5241,2071) = HCF(7312,5241) .

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Frequently Asked Questions on HCF of 5241, 7312 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 5241, 7312?

Answer: HCF of 5241, 7312 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5241, 7312 using Euclid's Algorithm?

Answer: For arbitrary numbers 5241, 7312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.