Greatest Common Factor of 548/433, 628/641, 785/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/433, 628/641, 785/878

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 548/433,628/641,785/878

Given fractions are 548/433,628/641,785/878

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 548,628,785

Greatest Common Factor of Numerators i.e. GCF of 548,628,785 is 1 .

LCM of Denominators means LCM of 433,641,878 as per the given fractions.

LCM of 433,641,878 is 243691534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,628,785

GCF of Fractions 548/433,628/641,785/878 is 1/243691534

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

Greatest Common Factor of 548,628,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,628,785 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 548,628,785 . The biggest common factor number is the GCF number.
So the greatest common factor 548,628,785 is 1.

Lets's calculate LCM of 433,641,878

Given numbers has no common factors except 1. So, there LCM is their product i.e 243691534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243691534

Therefore, the GCF of Fractions 548/433,628/641,785/878 is 1/243691534

Least Common Multiple of 433,641,878 with GCF Formula

Least Common Multiple of 433,641,878 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 433,641,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(433,641,878) = 1

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

GCF(433,641,878) x common factors =1 x 1 = 1

LCM(433,641,878) = ( 433 × 641 × 878 ) / 1

LCM(433,641,878) = 243691534 / 1

LCM(433,641,878) = 243691534


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 548/433, 628/641, 785/878

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 548/433, 628/641, 785/878?

Answer: GCF of Numerators as per given numbers 548/433, 628/641, 785/878 is

GCF of Numerators i.e. for 548,628,785 is 1

LCM of denominators i.e. for 433,641,878 is 243691534.

Thus, GCF of Fractions is 1/243691534.Finally, GCF of Fractions for 548/433, 628/641, 785/878 is 1/243691534.