How to Find GCF of 5395/260, 1867/2982?

GCF of 5395/260, 1867/2982

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 5395/260, 1867/2982 i.e 1/387660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5395/260, 1867/2982.

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 5395/260,1867/2982?

Given fractions are 5395/260,1867/2982

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 5395/260,1867/2982, numerators are 5395,1867

Denominators are 260,2982

The GCF of 5395,1867 is 1 .

LCM of 260,2982 is 387660.

The greatest common factor of 5395/260,1867/2982 = [GCF of 5395,1867]/[LCM of 260,2982]= 1/387660

Therefore, the GCF of 5395/260,1867/2982 is 1/387660.

Greatest Common Factor of 5395,1867

To find the highest common factor of 5395,1867, we have to find the factors of both numbers and list the highest common factor.

The factors of 5395 are 1, 5, 13, 65, 83, 415, 1079, 5395

The factors of 1867 are 1, 1867

The HCF of 5395,1867 is 1.

Lets's calculate GCF of 5395,1867

Greatest Common Factor (GCF) of 5395,1867 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5395,1867 By Matching Biggest Common Factor Method

Now, list down the factors of 5395

1,5,13,65,83,415,1079,5395

Now, list down the factors of 1867

1,1867

Greatest Common Factor

We found the factors 5395,1867 . The biggest common factor number is the GCF number.
So the greatest common factor 5395,1867 is 1.

Lets's calculate LCM of 260,2982

Lowest Common Multiple of 260,2982 using Common Division

2	260, 2982
	130, 1491

∴ So the LCM of the given numbers is 2 x 130 x 1491 = 387660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387660

Therefore, the GCF of Fractions 5395/260,1867/2982 is 1/387660

Least Common Multiple of 260,2982 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 260,2982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,2982) = 2

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

GCF(260,2982) x common factors =2 x 1 = 2

LCM(260,2982) = ( 260 × 2982 ) / 2

LCM(260,2982) = 775320 / 2

LCM(260,2982) = 387660

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FAQs on GCF of Fractions of 5395/260, 1867/2982

1. What is the HCF of 5395,1867?

The HCF of 5395,1867 is 1

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 5395/260, 1867/2982?

Answer: GCF of Numerators as per given numbers 5395/260, 1867/2982 is

GCF of Numerators i.e. for 5395,1867 is 1

LCM of denominators i.e. for 260,2982 is 387660.

Thus, GCF of Fractions is 1/387660.Finally, GCF of Fractions for 5395/260, 1867/2982 is 1/387660.