Greatest Common Factor of 4322/980, 4504/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4322/980, 4504/343

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 4322/980,4504/343

Given fractions are 4322/980,4504/343

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 4322,4504

Greatest Common Factor of Numerators i.e. GCF of 4322,4504 is 2 .

LCM of Denominators means LCM of 980,343 as per the given fractions.

LCM of 980,343 is 6860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4322,4504

GCF of Fractions 4322/980,4504/343 is 2/6860

2 4322, 4504
2161, 2252

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4322,4504 By Matching Biggest Common Factor Method

Greatest Common Factor of 4322,4504 By Matching Biggest Common Factor Method

Factors of 4322

List of positive integer factors of 4322 that divides 4322 without a remainder.

1,2,2161,4322

Factors of 4504

List of positive integer factors of 4504 that divides 4504 without a remainder.

1,2,4,8,563,1126,2252,4504

Greatest Common Factor

We found the factors 4322,4504 . The biggest common factor number is the GCF number.
So the greatest common factor 4322,4504 is 2.

Lets's calculate LCM of 980,343

7 980, 343
7 140, 49
20, 7

∴ So the LCM of the given numbers is 7 x 7 x 20 x 7 = 6860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6860

Therefore, the GCF of Fractions 4322/980,4504/343 is 2/6860

Least Common Multiple of 980,343 with GCF Formula

Least Common Multiple of 980,343 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 980,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,343) = 49

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

GCF(980,343) x common factors =49 x 1 = 49

LCM(980,343) = ( 980 × 343 ) / 49

LCM(980,343) = 336140 / 49

LCM(980,343) = 6860


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 4322/980, 4504/343

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 4322/980, 4504/343?

Answer: GCF of Numerators as per given numbers 4322/980, 4504/343 is

GCF of Numerators i.e. for 4322,4504 is 2

LCM of denominators i.e. for 980,343 is 6860.

Thus, GCF of Fractions is 2/6860.Finally, GCF of Fractions for 4322/980, 4504/343 is 2/6860.