How to Find GCF of 3580/751, 2618/6431?

GCF of 3580/751, 2618/6431

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3580/751, 2618/6431 i.e 2/4829681 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3580/751, 2618/6431.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3580/751,2618/6431?

Given fractions are 3580/751,2618/6431

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3580/751,2618/6431, numerators are 3580,2618

Denominators are 751,6431

The GCF of 3580,2618 is 2 .

LCM of 751,6431 is 4829681.

The greatest common factor of 3580/751,2618/6431 = [GCF of 3580,2618]/[LCM of 751,6431]= 2/4829681

Therefore, the GCF of 3580/751,2618/6431 is 2/4829681.

Greatest Common Factor of 3580,2618

To find the highest common factor of 3580,2618, we have to find the factors of both numbers and list the highest common factor.

The factors of 3580 are 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580

The factors of 2618 are 1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618

The HCF of 3580,2618 is 2.

Lets's calculate GCF of 3580,2618

Greatest Common Factor (GCF) of 3580,2618 By Common Division

2	3580, 2618
	1790, 1309

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3580,2618 By Matching Biggest Common Factor Method

Now, list down the factors of 3580

1,2,4,5,10,20,179,358,716,895,1790,3580

Now, list down the factors of 2618

1,2,7,11,14,17,22,34,77,119,154,187,238,374,1309,2618

Greatest Common Factor

We found the factors 3580,2618 . The biggest common factor number is the GCF number.
So the greatest common factor 3580,2618 is 2.

Lets's calculate LCM of 751,6431

Lowest Common Multiple of 751,6431 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4829681

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4829681

Therefore, the GCF of Fractions 3580/751,2618/6431 is 2/4829681

Least Common Multiple of 751,6431 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 751,6431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,6431) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(751,6431) x common factors =1 x 1 = 1

LCM(751,6431) = ( 751 × 6431 ) / 1

LCM(751,6431) = 4829681 / 1

LCM(751,6431) = 4829681

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FAQs on GCF of Fractions of 3580/751, 2618/6431

1. What is the HCF of 3580,2618?

The HCF of 3580,2618 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 3580/751, 2618/6431?

Answer: GCF of Numerators as per given numbers 3580/751, 2618/6431 is

GCF of Numerators i.e. for 3580,2618 is 2

LCM of denominators i.e. for 751,6431 is 4829681.

Thus, GCF of Fractions is 2/4829681.Finally, GCF of Fractions for 3580/751, 2618/6431 is 2/4829681.