Highest Common Factor of 2266, 2868, 34961 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 2266, 2868, 34961 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2266, 2868, 34961 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 2266, 2868, 34961 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 2266, 2868, 34961 is 1.

HCF(2266, 2868, 34961) = 1

HCF of 2266, 2868, 34961 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 2266, 2868, 34961 is 1.

Highest Common Factor of 2266,2868,34961 using Euclid's algorithm

Highest Common Factor of 2266,2868,34961 is 1

Step 1: Since 2868 > 2266, we apply the division lemma to 2868 and 2266, to get

2868 = 2266 x 1 + 602

Step 2: Since the reminder 2266 ≠ 0, we apply division lemma to 602 and 2266, to get

2266 = 602 x 3 + 460

Step 3: We consider the new divisor 602 and the new remainder 460, and apply the division lemma to get

602 = 460 x 1 + 142

We consider the new divisor 460 and the new remainder 142,and apply the division lemma to get

460 = 142 x 3 + 34

We consider the new divisor 142 and the new remainder 34,and apply the division lemma to get

142 = 34 x 4 + 6

We consider the new divisor 34 and the new remainder 6,and apply the division lemma to get

34 = 6 x 5 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2266 and 2868 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(34,6) = HCF(142,34) = HCF(460,142) = HCF(602,460) = HCF(2266,602) = HCF(2868,2266) .

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

Step 1: Since 34961 > 2, we apply the division lemma to 34961 and 2, to get

34961 = 2 x 17480 + 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 34961 is 1

Notice that 1 = HCF(2,1) = HCF(34961,2) .

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Frequently Asked Questions on HCF of 2266, 2868, 34961 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 2266, 2868, 34961?

Answer: HCF of 2266, 2868, 34961 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2266, 2868, 34961 using Euclid's Algorithm?

Answer: For arbitrary numbers 2266, 2868, 34961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.