Highest Common Factor of 2975, 4813 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 2975, 4813 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2975, 4813 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 2975, 4813 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 2975, 4813 is 1.

HCF(2975, 4813) = 1

HCF of 2975, 4813 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 2975, 4813 is 1.

Highest Common Factor of 2975,4813 using Euclid's algorithm

Highest Common Factor of 2975,4813 is 1

Step 1: Since 4813 > 2975, we apply the division lemma to 4813 and 2975, to get

4813 = 2975 x 1 + 1838

Step 2: Since the reminder 2975 ≠ 0, we apply division lemma to 1838 and 2975, to get

2975 = 1838 x 1 + 1137

Step 3: We consider the new divisor 1838 and the new remainder 1137, and apply the division lemma to get

1838 = 1137 x 1 + 701

We consider the new divisor 1137 and the new remainder 701,and apply the division lemma to get

1137 = 701 x 1 + 436

We consider the new divisor 701 and the new remainder 436,and apply the division lemma to get

701 = 436 x 1 + 265

We consider the new divisor 436 and the new remainder 265,and apply the division lemma to get

436 = 265 x 1 + 171

We consider the new divisor 265 and the new remainder 171,and apply the division lemma to get

265 = 171 x 1 + 94

We consider the new divisor 171 and the new remainder 94,and apply the division lemma to get

171 = 94 x 1 + 77

We consider the new divisor 94 and the new remainder 77,and apply the division lemma to get

94 = 77 x 1 + 17

We consider the new divisor 77 and the new remainder 17,and apply the division lemma to get

77 = 17 x 4 + 9

We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get

17 = 9 x 1 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2975 and 4813 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(77,17) = HCF(94,77) = HCF(171,94) = HCF(265,171) = HCF(436,265) = HCF(701,436) = HCF(1137,701) = HCF(1838,1137) = HCF(2975,1838) = HCF(4813,2975) .

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Frequently Asked Questions on HCF of 2975, 4813 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 2975, 4813?

Answer: HCF of 2975, 4813 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2975, 4813 using Euclid's Algorithm?

Answer: For arbitrary numbers 2975, 4813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.