Greatest Common Factor of 625/98, 3510/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 625/98, 3510/570

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 625/98,3510/570

Given fractions are 625/98,3510/570

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 625,3510

Greatest Common Factor of Numerators i.e. GCF of 625,3510 is 5 .

LCM of Denominators means LCM of 98,570 as per the given fractions.

LCM of 98,570 is 27930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 625,3510

GCF of Fractions 625/98,3510/570 is 5/27930

5 625, 3510
125, 702

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 625,3510 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,3510 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 3510

List of positive integer factors of 3510 that divides 3510 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,27,30,39,45,54,65,78,90,117,130,135,195,234,270,351,390,585,702,1170,1755,3510

Greatest Common Factor

We found the factors 625,3510 . The biggest common factor number is the GCF number.
So the greatest common factor 625,3510 is 5.

Lets's calculate LCM of 98,570

2 98, 570
49, 285

∴ So the LCM of the given numbers is 2 x 49 x 285 = 27930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/27930

Therefore, the GCF of Fractions 625/98,3510/570 is 5/27930

Least Common Multiple of 98,570 with GCF Formula

Least Common Multiple of 98,570 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 98,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,570) = 2

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

GCF(98,570) x common factors =2 x 1 = 2

LCM(98,570) = ( 98 × 570 ) / 2

LCM(98,570) = 55860 / 2

LCM(98,570) = 27930


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 625/98, 3510/570

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 625/98, 3510/570?

Answer: GCF of Numerators as per given numbers 625/98, 3510/570 is

GCF of Numerators i.e. for 625,3510 is 5

LCM of denominators i.e. for 98,570 is 27930.

Thus, GCF of Fractions is 5/27930.Finally, GCF of Fractions for 625/98, 3510/570 is 5/27930.