Greatest Common Factor of 9248/775, 2040/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9248/775, 2040/638

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 9248/775,2040/638

Given fractions are 9248/775,2040/638

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 9248,2040

Greatest Common Factor of Numerators i.e. GCF of 9248,2040 is 136 .

LCM of Denominators means LCM of 775,638 as per the given fractions.

LCM of 775,638 is 494450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9248,2040

GCF of Fractions 9248/775,2040/638 is 136/494450

2 9248, 2040
2 4624, 1020
2 2312, 510
17 1156, 255
68, 15

∴ So the GCF of the given numbers is 2 x 2 x 2 x 17 = 136

Greatest Common Factor of 9248,2040 By Matching Biggest Common Factor Method

Greatest Common Factor of 9248,2040 By Matching Biggest Common Factor Method

Factors of 9248

List of positive integer factors of 9248 that divides 9248 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,289,544,578,1156,2312,4624,9248

Factors of 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040

Greatest Common Factor

We found the factors 9248,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 9248,2040 is 136.

Lets's calculate LCM of 775,638

Given numbers has no common factors except 1. So, there LCM is their product i.e 494450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 136/494450

Therefore, the GCF of Fractions 9248/775,2040/638 is 136/494450

Least Common Multiple of 775,638 with GCF Formula

Least Common Multiple of 775,638 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 775,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,638) = 1

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

GCF(775,638) x common factors =1 x 1 = 1

LCM(775,638) = ( 775 × 638 ) / 1

LCM(775,638) = 494450 / 1

LCM(775,638) = 494450


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 9248/775, 2040/638

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 9248/775, 2040/638?

Answer: GCF of Numerators as per given numbers 9248/775, 2040/638 is

GCF of Numerators i.e. for 9248,2040 is 136

LCM of denominators i.e. for 775,638 is 494450.

Thus, GCF of Fractions is 136/494450.Finally, GCF of Fractions for 9248/775, 2040/638 is 136/494450.