Highest Common Factor of 5888, 7746, 27615 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 5888, 7746, 27615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5888, 7746, 27615 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 5888, 7746, 27615 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 5888, 7746, 27615 is 1.

HCF(5888, 7746, 27615) = 1

HCF of 5888, 7746, 27615 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 5888, 7746, 27615 is 1.

Highest Common Factor of 5888,7746,27615 using Euclid's algorithm

Highest Common Factor of 5888,7746,27615 is 1

Step 1: Since 7746 > 5888, we apply the division lemma to 7746 and 5888, to get

7746 = 5888 x 1 + 1858

Step 2: Since the reminder 5888 ≠ 0, we apply division lemma to 1858 and 5888, to get

5888 = 1858 x 3 + 314

Step 3: We consider the new divisor 1858 and the new remainder 314, and apply the division lemma to get

1858 = 314 x 5 + 288

We consider the new divisor 314 and the new remainder 288,and apply the division lemma to get

314 = 288 x 1 + 26

We consider the new divisor 288 and the new remainder 26,and apply the division lemma to get

288 = 26 x 11 + 2

We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get

26 = 2 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5888 and 7746 is 2

Notice that 2 = HCF(26,2) = HCF(288,26) = HCF(314,288) = HCF(1858,314) = HCF(5888,1858) = HCF(7746,5888) .

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

Step 1: Since 27615 > 2, we apply the division lemma to 27615 and 2, to get

27615 = 2 x 13807 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 27615 is 1

Notice that 1 = HCF(2,1) = HCF(27615,2) .

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Frequently Asked Questions on HCF of 5888, 7746, 27615 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 5888, 7746, 27615?

Answer: HCF of 5888, 7746, 27615 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5888, 7746, 27615 using Euclid's Algorithm?

Answer: For arbitrary numbers 5888, 7746, 27615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.