How to Find GCF of 2402/130, 4315/6929?

GCF of 2402/130, 4315/6929

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 2402/130, 4315/6929 i.e 1/69290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2402/130, 4315/6929.

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 2402/130,4315/6929?

Given fractions are 2402/130,4315/6929

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 2402/130,4315/6929, numerators are 2402,4315

Denominators are 130,6929

The GCF of 2402,4315 is 1 .

LCM of 130,6929 is 69290.

The greatest common factor of 2402/130,4315/6929 = [GCF of 2402,4315]/[LCM of 130,6929]= 1/69290

Therefore, the GCF of 2402/130,4315/6929 is 1/69290.

Greatest Common Factor of 2402,4315

To find the highest common factor of 2402,4315, we have to find the factors of both numbers and list the highest common factor.

The factors of 2402 are 1, 2, 1201, 2402

The factors of 4315 are 1, 5, 863, 4315

The HCF of 2402,4315 is 1.

Lets's calculate GCF of 2402,4315

Greatest Common Factor (GCF) of 2402,4315 By Common Division

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

Greatest Common Factor of 2402,4315 By Matching Biggest Common Factor Method

Now, list down the factors of 2402

1,2,1201,2402

Now, list down the factors of 4315

1,5,863,4315

Greatest Common Factor

We found the factors 2402,4315 . The biggest common factor number is the GCF number.
So the greatest common factor 2402,4315 is 1.

Lets's calculate LCM of 130,6929

Lowest Common Multiple of 130,6929 using Common Division

13	130, 6929
	10, 533

∴ So the LCM of the given numbers is 13 x 10 x 533 = 69290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69290

Therefore, the GCF of Fractions 2402/130,4315/6929 is 1/69290

Least Common Multiple of 130,6929 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 130,6929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,6929) = 13

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

GCF(130,6929) x common factors =13 x 1 = 13

LCM(130,6929) = ( 130 × 6929 ) / 13

LCM(130,6929) = 900770 / 13

LCM(130,6929) = 69290

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FAQs on GCF of Fractions of 2402/130, 4315/6929

1. What is the HCF of 2402,4315?

The HCF of 2402,4315 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 2402/130, 4315/6929?

Answer: GCF of Numerators as per given numbers 2402/130, 4315/6929 is

GCF of Numerators i.e. for 2402,4315 is 1

LCM of denominators i.e. for 130,6929 is 69290.

Thus, GCF of Fractions is 1/69290.Finally, GCF of Fractions for 2402/130, 4315/6929 is 1/69290.