Greatest Common Factor of 1148/155, 7298/1907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1148/155, 7298/1907

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 1148/155,7298/1907

Given fractions are 1148/155,7298/1907

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 1148,7298

Greatest Common Factor of Numerators i.e. GCF of 1148,7298 is 82 .

LCM of Denominators means LCM of 155,1907 as per the given fractions.

LCM of 155,1907 is 295585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1148,7298

GCF of Fractions 1148/155,7298/1907 is 82/295585

2 1148, 7298
41 574, 3649
14, 89

∴ So the GCF of the given numbers is 2 x 41 = 82

Greatest Common Factor of 1148,7298 By Matching Biggest Common Factor Method

Greatest Common Factor of 1148,7298 By Matching Biggest Common Factor Method

Factors of 1148

List of positive integer factors of 1148 that divides 1148 without a remainder.

1,2,4,7,14,28,41,82,164,287,574,1148

Factors of 7298

List of positive integer factors of 7298 that divides 7298 without a remainder.

1,2,41,82,89,178,3649,7298

Greatest Common Factor

We found the factors 1148,7298 . The biggest common factor number is the GCF number.
So the greatest common factor 1148,7298 is 82.

Lets's calculate LCM of 155,1907

Given numbers has no common factors except 1. So, there LCM is their product i.e 295585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/295585

Therefore, the GCF of Fractions 1148/155,7298/1907 is 82/295585

Least Common Multiple of 155,1907 with GCF Formula

Least Common Multiple of 155,1907 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 155,1907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,1907) = 1

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

GCF(155,1907) x common factors =1 x 1 = 1

LCM(155,1907) = ( 155 × 1907 ) / 1

LCM(155,1907) = 295585 / 1

LCM(155,1907) = 295585


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 1148/155, 7298/1907

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 1148/155, 7298/1907?

Answer: GCF of Numerators as per given numbers 1148/155, 7298/1907 is

GCF of Numerators i.e. for 1148,7298 is 82

LCM of denominators i.e. for 155,1907 is 295585.

Thus, GCF of Fractions is 82/295585.Finally, GCF of Fractions for 1148/155, 7298/1907 is 82/295585.