Highest Common Factor of 5927, 8074 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 5927, 8074 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5927, 8074 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 5927, 8074 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 5927, 8074 is 1.

HCF(5927, 8074) = 1

HCF of 5927, 8074 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 5927, 8074 is 1.

Highest Common Factor of 5927,8074 using Euclid's algorithm

Highest Common Factor of 5927,8074 is 1

Step 1: Since 8074 > 5927, we apply the division lemma to 8074 and 5927, to get

8074 = 5927 x 1 + 2147

Step 2: Since the reminder 5927 ≠ 0, we apply division lemma to 2147 and 5927, to get

5927 = 2147 x 2 + 1633

Step 3: We consider the new divisor 2147 and the new remainder 1633, and apply the division lemma to get

2147 = 1633 x 1 + 514

We consider the new divisor 1633 and the new remainder 514,and apply the division lemma to get

1633 = 514 x 3 + 91

We consider the new divisor 514 and the new remainder 91,and apply the division lemma to get

514 = 91 x 5 + 59

We consider the new divisor 91 and the new remainder 59,and apply the division lemma to get

91 = 59 x 1 + 32

We consider the new divisor 59 and the new remainder 32,and apply the division lemma to get

59 = 32 x 1 + 27

We consider the new divisor 32 and the new remainder 27,and apply the division lemma to get

32 = 27 x 1 + 5

We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get

27 = 5 x 5 + 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 5927 and 8074 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(32,27) = HCF(59,32) = HCF(91,59) = HCF(514,91) = HCF(1633,514) = HCF(2147,1633) = HCF(5927,2147) = HCF(8074,5927) .

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Frequently Asked Questions on HCF of 5927, 8074 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 5927, 8074?

Answer: HCF of 5927, 8074 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5927, 8074 using Euclid's Algorithm?

Answer: For arbitrary numbers 5927, 8074 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.