Greatest Common Factor of 248/361, 7760/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 248/361, 7760/465

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 248/361,7760/465

Given fractions are 248/361,7760/465

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 248,7760

Greatest Common Factor of Numerators i.e. GCF of 248,7760 is 8 .

LCM of Denominators means LCM of 361,465 as per the given fractions.

LCM of 361,465 is 167865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 248,7760

GCF of Fractions 248/361,7760/465 is 8/167865

2 248, 7760
2 124, 3880
2 62, 1940
31, 970

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 248,7760 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,7760 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 7760

List of positive integer factors of 7760 that divides 7760 without a remainder.

1,2,4,5,8,10,16,20,40,80,97,194,388,485,776,970,1552,1940,3880,7760

Greatest Common Factor

We found the factors 248,7760 . The biggest common factor number is the GCF number.
So the greatest common factor 248,7760 is 8.

Lets's calculate LCM of 361,465

Given numbers has no common factors except 1. So, there LCM is their product i.e 167865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/167865

Therefore, the GCF of Fractions 248/361,7760/465 is 8/167865

Least Common Multiple of 361,465 with GCF Formula

Least Common Multiple of 361,465 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 361,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,465) = 1

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

GCF(361,465) x common factors =1 x 1 = 1

LCM(361,465) = ( 361 × 465 ) / 1

LCM(361,465) = 167865 / 1

LCM(361,465) = 167865


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 248/361, 7760/465

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 248/361, 7760/465?

Answer: GCF of Numerators as per given numbers 248/361, 7760/465 is

GCF of Numerators i.e. for 248,7760 is 8

LCM of denominators i.e. for 361,465 is 167865.

Thus, GCF of Fractions is 8/167865.Finally, GCF of Fractions for 248/361, 7760/465 is 8/167865.