Highest Common Factor of 5224, 1381 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 5224, 1381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5224, 1381 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 5224, 1381 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 5224, 1381 is 1.

HCF(5224, 1381) = 1

HCF of 5224, 1381 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 5224, 1381 is 1.

Highest Common Factor of 5224,1381 using Euclid's algorithm

Highest Common Factor of 5224,1381 is 1

Step 1: Since 5224 > 1381, we apply the division lemma to 5224 and 1381, to get

5224 = 1381 x 3 + 1081

Step 2: Since the reminder 1381 ≠ 0, we apply division lemma to 1081 and 1381, to get

1381 = 1081 x 1 + 300

Step 3: We consider the new divisor 1081 and the new remainder 300, and apply the division lemma to get

1081 = 300 x 3 + 181

We consider the new divisor 300 and the new remainder 181,and apply the division lemma to get

300 = 181 x 1 + 119

We consider the new divisor 181 and the new remainder 119,and apply the division lemma to get

181 = 119 x 1 + 62

We consider the new divisor 119 and the new remainder 62,and apply the division lemma to get

119 = 62 x 1 + 57

We consider the new divisor 62 and the new remainder 57,and apply the division lemma to get

62 = 57 x 1 + 5

We consider the new divisor 57 and the new remainder 5,and apply the division lemma to get

57 = 5 x 11 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 5224 and 1381 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(57,5) = HCF(62,57) = HCF(119,62) = HCF(181,119) = HCF(300,181) = HCF(1081,300) = HCF(1381,1081) = HCF(5224,1381) .

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Frequently Asked Questions on HCF of 5224, 1381 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 5224, 1381?

Answer: HCF of 5224, 1381 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5224, 1381 using Euclid's Algorithm?

Answer: For arbitrary numbers 5224, 1381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.