Greatest Common Factor of 245/77, 464/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 245/77, 464/428

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 245/77,464/428

Given fractions are 245/77,464/428

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 245,464

Greatest Common Factor of Numerators i.e. GCF of 245,464 is 1 .

LCM of Denominators means LCM of 77,428 as per the given fractions.

LCM of 77,428 is 32956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,464

GCF of Fractions 245/77,464/428 is 1/32956

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 245,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,464 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 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 245,464 . The biggest common factor number is the GCF number.
So the greatest common factor 245,464 is 1.


Lets's calculate LCM of 77,428

Given numbers has no common factors except 1. So, there LCM is their product i.e 32956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32956

Therefore, the GCF of Fractions 245/77,464/428 is 1/32956

Least Common Multiple of 77,428 with GCF Formula

Least Common Multiple of 77,428 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 77,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,428) = 1

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

GCF(77,428) x common factors =1 x 1 = 1

LCM(77,428) = ( 77 × 428 ) / 1

LCM(77,428) = 32956 / 1

LCM(77,428) = 32956


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 245/77, 464/428

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 245/77, 464/428?

Answer: GCF of Numerators as per given numbers 245/77, 464/428 is

GCF of Numerators i.e. for 245,464 is 1

LCM of denominators i.e. for 77,428 is 32956.

Thus, GCF of Fractions is 1/32956.Finally, GCF of Fractions for 245/77, 464/428 is 1/32956.