Greatest Common Factor of 448/73, 772/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/73, 772/757

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 448/73,772/757

Given fractions are 448/73,772/757

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 448,772

Greatest Common Factor of Numerators i.e. GCF of 448,772 is 4 .

LCM of Denominators means LCM of 73,757 as per the given fractions.

LCM of 73,757 is 55261 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,772

GCF of Fractions 448/73,772/757 is 4/55261

2 448, 772
2 224, 386
112, 193

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 448,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,772 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 448,772 . The biggest common factor number is the GCF number.
So the greatest common factor 448,772 is 4.

Lets's calculate LCM of 73,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 55261

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/55261

Therefore, the GCF of Fractions 448/73,772/757 is 4/55261

Least Common Multiple of 73,757 with GCF Formula

Least Common Multiple of 73,757 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 73,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,757) = 1

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

GCF(73,757) x common factors =1 x 1 = 1

LCM(73,757) = ( 73 × 757 ) / 1

LCM(73,757) = 55261 / 1

LCM(73,757) = 55261


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 448/73, 772/757

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 448/73, 772/757?

Answer: GCF of Numerators as per given numbers 448/73, 772/757 is

GCF of Numerators i.e. for 448,772 is 4

LCM of denominators i.e. for 73,757 is 55261.

Thus, GCF of Fractions is 4/55261.Finally, GCF of Fractions for 448/73, 772/757 is 4/55261.