Highest Common Factor of 5275, 6047, 26599 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 5275, 6047, 26599 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5275, 6047, 26599 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 5275, 6047, 26599 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 5275, 6047, 26599 is 1.

HCF(5275, 6047, 26599) = 1

HCF of 5275, 6047, 26599 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 5275, 6047, 26599 is 1.

Highest Common Factor of 5275,6047,26599 using Euclid's algorithm

Highest Common Factor of 5275,6047,26599 is 1

Step 1: Since 6047 > 5275, we apply the division lemma to 6047 and 5275, to get

6047 = 5275 x 1 + 772

Step 2: Since the reminder 5275 ≠ 0, we apply division lemma to 772 and 5275, to get

5275 = 772 x 6 + 643

Step 3: We consider the new divisor 772 and the new remainder 643, and apply the division lemma to get

772 = 643 x 1 + 129

We consider the new divisor 643 and the new remainder 129,and apply the division lemma to get

643 = 129 x 4 + 127

We consider the new divisor 129 and the new remainder 127,and apply the division lemma to get

129 = 127 x 1 + 2

We consider the new divisor 127 and the new remainder 2,and apply the division lemma to get

127 = 2 x 63 + 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 5275 and 6047 is 1

Notice that 1 = HCF(2,1) = HCF(127,2) = HCF(129,127) = HCF(643,129) = HCF(772,643) = HCF(5275,772) = HCF(6047,5275) .

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

Step 1: Since 26599 > 1, we apply the division lemma to 26599 and 1, to get

26599 = 1 x 26599 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26599 is 1

Notice that 1 = HCF(26599,1) .

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Frequently Asked Questions on HCF of 5275, 6047, 26599 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 5275, 6047, 26599?

Answer: HCF of 5275, 6047, 26599 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5275, 6047, 26599 using Euclid's Algorithm?

Answer: For arbitrary numbers 5275, 6047, 26599 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.