Highest Common Factor of 856, 2969, 2547 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 856, 2969, 2547 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 856, 2969, 2547 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 856, 2969, 2547 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 856, 2969, 2547 is 1.

HCF(856, 2969, 2547) = 1

HCF of 856, 2969, 2547 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 856, 2969, 2547 is 1.

Highest Common Factor of 856,2969,2547 using Euclid's algorithm

Highest Common Factor of 856,2969,2547 is 1

Step 1: Since 2969 > 856, we apply the division lemma to 2969 and 856, to get

2969 = 856 x 3 + 401

Step 2: Since the reminder 856 ≠ 0, we apply division lemma to 401 and 856, to get

856 = 401 x 2 + 54

Step 3: We consider the new divisor 401 and the new remainder 54, and apply the division lemma to get

401 = 54 x 7 + 23

We consider the new divisor 54 and the new remainder 23,and apply the division lemma to get

54 = 23 x 2 + 8

We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get

23 = 8 x 2 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 856 and 2969 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(54,23) = HCF(401,54) = HCF(856,401) = HCF(2969,856) .

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

Step 1: Since 2547 > 1, we apply the division lemma to 2547 and 1, to get

2547 = 1 x 2547 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2547 is 1

Notice that 1 = HCF(2547,1) .

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Frequently Asked Questions on HCF of 856, 2969, 2547 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 856, 2969, 2547?

Answer: HCF of 856, 2969, 2547 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 856, 2969, 2547 using Euclid's Algorithm?

Answer: For arbitrary numbers 856, 2969, 2547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.