Greatest Common Factor of 9874/46, 2280/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9874/46, 2280/469

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 9874/46,2280/469

Given fractions are 9874/46,2280/469

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 9874,2280

Greatest Common Factor of Numerators i.e. GCF of 9874,2280 is 2 .

LCM of Denominators means LCM of 46,469 as per the given fractions.

LCM of 46,469 is 21574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9874,2280

GCF of Fractions 9874/46,2280/469 is 2/21574

2 9874, 2280
4937, 1140

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

Greatest Common Factor of 9874,2280 By Matching Biggest Common Factor Method

Greatest Common Factor of 9874,2280 By Matching Biggest Common Factor Method

Factors of 9874

List of positive integer factors of 9874 that divides 9874 without a remainder.

1,2,4937,9874

Factors of 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280

Greatest Common Factor

We found the factors 9874,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 9874,2280 is 2.

Lets's calculate LCM of 46,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 21574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21574

Therefore, the GCF of Fractions 9874/46,2280/469 is 2/21574

Least Common Multiple of 46,469 with GCF Formula

Least Common Multiple of 46,469 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 46,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,469) = 1

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

GCF(46,469) x common factors =1 x 1 = 1

LCM(46,469) = ( 46 × 469 ) / 1

LCM(46,469) = 21574 / 1

LCM(46,469) = 21574


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 9874/46, 2280/469

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 9874/46, 2280/469?

Answer: GCF of Numerators as per given numbers 9874/46, 2280/469 is

GCF of Numerators i.e. for 9874,2280 is 2

LCM of denominators i.e. for 46,469 is 21574.

Thus, GCF of Fractions is 2/21574.Finally, GCF of Fractions for 9874/46, 2280/469 is 2/21574.