Highest Common Factor of 253, 6018, 2545 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 253, 6018, 2545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 253, 6018, 2545 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 253, 6018, 2545 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 253, 6018, 2545 is 1.

HCF(253, 6018, 2545) = 1

HCF of 253, 6018, 2545 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 253, 6018, 2545 is 1.

Highest Common Factor of 253,6018,2545 using Euclid's algorithm

Highest Common Factor of 253,6018,2545 is 1

Step 1: Since 6018 > 253, we apply the division lemma to 6018 and 253, to get

6018 = 253 x 23 + 199

Step 2: Since the reminder 253 ≠ 0, we apply division lemma to 199 and 253, to get

253 = 199 x 1 + 54

Step 3: We consider the new divisor 199 and the new remainder 54, and apply the division lemma to get

199 = 54 x 3 + 37

We consider the new divisor 54 and the new remainder 37,and apply the division lemma to get

54 = 37 x 1 + 17

We consider the new divisor 37 and the new remainder 17,and apply the division lemma to get

37 = 17 x 2 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 253 and 6018 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(37,17) = HCF(54,37) = HCF(199,54) = HCF(253,199) = HCF(6018,253) .

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

Step 1: Since 2545 > 1, we apply the division lemma to 2545 and 1, to get

2545 = 1 x 2545 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2545 is 1

Notice that 1 = HCF(2545,1) .

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Frequently Asked Questions on HCF of 253, 6018, 2545 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 253, 6018, 2545?

Answer: HCF of 253, 6018, 2545 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 253, 6018, 2545 using Euclid's Algorithm?

Answer: For arbitrary numbers 253, 6018, 2545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.