Greatest Common Factor of 4318/98, 6253/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4318/98, 6253/630

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 4318/98,6253/630

Given fractions are 4318/98,6253/630

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 4318,6253

Greatest Common Factor of Numerators i.e. GCF of 4318,6253 is 1 .

LCM of Denominators means LCM of 98,630 as per the given fractions.

LCM of 98,630 is 4410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4318,6253

GCF of Fractions 4318/98,6253/630 is 1/4410

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

Greatest Common Factor of 4318,6253 By Matching Biggest Common Factor Method

Greatest Common Factor of 4318,6253 By Matching Biggest Common Factor Method

Factors of 4318

List of positive integer factors of 4318 that divides 4318 without a remainder.

1,2,17,34,127,254,2159,4318

Factors of 6253

List of positive integer factors of 6253 that divides 6253 without a remainder.

1,13,37,169,481,6253

Greatest Common Factor

We found the factors 4318,6253 . The biggest common factor number is the GCF number.
So the greatest common factor 4318,6253 is 1.

Lets's calculate LCM of 98,630

2 98, 630
7 49, 315
7, 45

∴ So the LCM of the given numbers is 2 x 7 x 7 x 45 = 4410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4410

Therefore, the GCF of Fractions 4318/98,6253/630 is 1/4410

Least Common Multiple of 98,630 with GCF Formula

Least Common Multiple of 98,630 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 98,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,630) = 14

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

GCF(98,630) x common factors =14 x 1 = 14

LCM(98,630) = ( 98 × 630 ) / 14

LCM(98,630) = 61740 / 14

LCM(98,630) = 4410


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 4318/98, 6253/630

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 4318/98, 6253/630?

Answer: GCF of Numerators as per given numbers 4318/98, 6253/630 is

GCF of Numerators i.e. for 4318,6253 is 1

LCM of denominators i.e. for 98,630 is 4410.

Thus, GCF of Fractions is 1/4410.Finally, GCF of Fractions for 4318/98, 6253/630 is 1/4410.