Greatest Common Factor of 245/910, 9505/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/910, 9505/277

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 245/910,9505/277

Given fractions are 245/910,9505/277

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 245,9505

Greatest Common Factor of Numerators i.e. GCF of 245,9505 is 5 .

LCM of Denominators means LCM of 910,277 as per the given fractions.

LCM of 910,277 is 252070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,9505

GCF of Fractions 245/910,9505/277 is 5/252070

5 245, 9505
49, 1901

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 245,9505 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,9505 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 9505

List of positive integer factors of 9505 that divides 9505 without a remainder.

1,5,1901,9505

Greatest Common Factor

We found the factors 245,9505 . The biggest common factor number is the GCF number.
So the greatest common factor 245,9505 is 5.

Lets's calculate LCM of 910,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 252070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/252070

Therefore, the GCF of Fractions 245/910,9505/277 is 5/252070

Least Common Multiple of 910,277 with GCF Formula

Least Common Multiple of 910,277 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 910,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,277) = 1

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

GCF(910,277) x common factors =1 x 1 = 1

LCM(910,277) = ( 910 × 277 ) / 1

LCM(910,277) = 252070 / 1

LCM(910,277) = 252070


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 245/910, 9505/277

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 245/910, 9505/277?

Answer: GCF of Numerators as per given numbers 245/910, 9505/277 is

GCF of Numerators i.e. for 245,9505 is 5

LCM of denominators i.e. for 910,277 is 252070.

Thus, GCF of Fractions is 5/252070.Finally, GCF of Fractions for 245/910, 9505/277 is 5/252070.