Highest Common Factor of 325, 2795, 2067 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 325, 2795, 2067 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 325, 2795, 2067 is 13 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 325, 2795, 2067 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 325, 2795, 2067 is 13.

HCF(325, 2795, 2067) = 13

HCF of 325, 2795, 2067 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 325, 2795, 2067 is 13.

Highest Common Factor of 325,2795,2067 using Euclid's algorithm

Highest Common Factor of 325,2795,2067 is 13

Step 1: Since 2795 > 325, we apply the division lemma to 2795 and 325, to get

2795 = 325 x 8 + 195

Step 2: Since the reminder 325 ≠ 0, we apply division lemma to 195 and 325, to get

325 = 195 x 1 + 130

Step 3: We consider the new divisor 195 and the new remainder 130, and apply the division lemma to get

195 = 130 x 1 + 65

We consider the new divisor 130 and the new remainder 65, and apply the division lemma to get

130 = 65 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 65, the HCF of 325 and 2795 is 65

Notice that 65 = HCF(130,65) = HCF(195,130) = HCF(325,195) = HCF(2795,325) .

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

Step 1: Since 2067 > 65, we apply the division lemma to 2067 and 65, to get

2067 = 65 x 31 + 52

Step 2: Since the reminder 65 ≠ 0, we apply division lemma to 52 and 65, to get

65 = 52 x 1 + 13

Step 3: We consider the new divisor 52 and the new remainder 13, and apply the division lemma to get

52 = 13 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 65 and 2067 is 13

Notice that 13 = HCF(52,13) = HCF(65,52) = HCF(2067,65) .

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Frequently Asked Questions on HCF of 325, 2795, 2067 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 325, 2795, 2067?

Answer: HCF of 325, 2795, 2067 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 325, 2795, 2067 using Euclid's Algorithm?

Answer: For arbitrary numbers 325, 2795, 2067 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.