Greatest Common Factor of 9800/31, 7294/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9800/31, 7294/770

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 9800/31,7294/770

Given fractions are 9800/31,7294/770

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 9800,7294

Greatest Common Factor of Numerators i.e. GCF of 9800,7294 is 14 .

LCM of Denominators means LCM of 31,770 as per the given fractions.

LCM of 31,770 is 23870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9800,7294

GCF of Fractions 9800/31,7294/770 is 14/23870

2 9800, 7294
7 4900, 3647
700, 521

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 9800,7294 By Matching Biggest Common Factor Method

Greatest Common Factor of 9800,7294 By Matching Biggest Common Factor Method

Factors of 9800

List of positive integer factors of 9800 that divides 9800 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,49,50,56,70,98,100,140,175,196,200,245,280,350,392,490,700,980,1225,1400,1960,2450,4900,9800

Factors of 7294

List of positive integer factors of 7294 that divides 7294 without a remainder.

1,2,7,14,521,1042,3647,7294

Greatest Common Factor

We found the factors 9800,7294 . The biggest common factor number is the GCF number.
So the greatest common factor 9800,7294 is 14.

Lets's calculate LCM of 31,770

Given numbers has no common factors except 1. So, there LCM is their product i.e 23870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/23870

Therefore, the GCF of Fractions 9800/31,7294/770 is 14/23870

Least Common Multiple of 31,770 with GCF Formula

Least Common Multiple of 31,770 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 31,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,770) = 1

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

GCF(31,770) x common factors =1 x 1 = 1

LCM(31,770) = ( 31 × 770 ) / 1

LCM(31,770) = 23870 / 1

LCM(31,770) = 23870


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 9800/31, 7294/770

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 9800/31, 7294/770?

Answer: GCF of Numerators as per given numbers 9800/31, 7294/770 is

GCF of Numerators i.e. for 9800,7294 is 14

LCM of denominators i.e. for 31,770 is 23870.

Thus, GCF of Fractions is 14/23870.Finally, GCF of Fractions for 9800/31, 7294/770 is 14/23870.