Highest Common Factor of 4498, 6446, 57097 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 4498, 6446, 57097 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4498, 6446, 57097 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 4498, 6446, 57097 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 4498, 6446, 57097 is 1.

HCF(4498, 6446, 57097) = 1

HCF of 4498, 6446, 57097 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 4498, 6446, 57097 is 1.

Highest Common Factor of 4498,6446,57097 using Euclid's algorithm

Highest Common Factor of 4498,6446,57097 is 1

Step 1: Since 6446 > 4498, we apply the division lemma to 6446 and 4498, to get

6446 = 4498 x 1 + 1948

Step 2: Since the reminder 4498 ≠ 0, we apply division lemma to 1948 and 4498, to get

4498 = 1948 x 2 + 602

Step 3: We consider the new divisor 1948 and the new remainder 602, and apply the division lemma to get

1948 = 602 x 3 + 142

We consider the new divisor 602 and the new remainder 142,and apply the division lemma to get

602 = 142 x 4 + 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 4498 and 6446 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(34,6) = HCF(142,34) = HCF(602,142) = HCF(1948,602) = HCF(4498,1948) = HCF(6446,4498) .

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

Step 1: Since 57097 > 2, we apply the division lemma to 57097 and 2, to get

57097 = 2 x 28548 + 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 57097 is 1

Notice that 1 = HCF(2,1) = HCF(57097,2) .

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Frequently Asked Questions on HCF of 4498, 6446, 57097 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 4498, 6446, 57097?

Answer: HCF of 4498, 6446, 57097 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4498, 6446, 57097 using Euclid's Algorithm?

Answer: For arbitrary numbers 4498, 6446, 57097 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.