Greatest Common Factor of 25/16, 465/70, 509/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/16, 465/70, 509/196

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 25/16,465/70,509/196

Given fractions are 25/16,465/70,509/196

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 25,465,509

Greatest Common Factor of Numerators i.e. GCF of 25,465,509 is 1 .

LCM of Denominators means LCM of 16,70,196 as per the given fractions.

LCM of 16,70,196 is 3920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,465,509

GCF of Fractions 25/16,465/70,509/196 is 1/3920

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

Greatest Common Factor of 25,465,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,465,509 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 25,465,509 . The biggest common factor number is the GCF number.
So the greatest common factor 25,465,509 is 1.

Lets's calculate LCM of 16,70,196

2 16, 70, 196
2 8, 35, 98
7 4, 35, 49
4, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 7 x 4 x 5 x 7 = 3920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3920

Therefore, the GCF of Fractions 25/16,465/70,509/196 is 1/3920

Least Common Multiple of 16,70,196 with GCF Formula

Least Common Multiple of 16,70,196 with GCF Formula

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

We need to calculate greatest common factor of 16,70,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,70,196) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(16,70,196) x common factors =2 x 28 = 56

LCM(16,70,196) = ( 16 × 70 × 196 ) / 56

LCM(16,70,196) = 219520 / 56

LCM(16,70,196) = 3920


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 25/16, 465/70, 509/196

1. 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.

2. What is the GCF of Fractions for 25/16, 465/70, 509/196?

Answer: GCF of Numerators as per given numbers 25/16, 465/70, 509/196 is

GCF of Numerators i.e. for 25,465,509 is 1

LCM of denominators i.e. for 16,70,196 is 3920.

Thus, GCF of Fractions is 1/3920.Finally, GCF of Fractions for 25/16, 465/70, 509/196 is 1/3920.