Greatest Common Factor of 373/548, 905/783, 771/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 373/548, 905/783, 771/348

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 373/548,905/783,771/348

Given fractions are 373/548,905/783,771/348

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 373,905,771

Greatest Common Factor of Numerators i.e. GCF of 373,905,771 is 1 .

LCM of Denominators means LCM of 548,783,348 as per the given fractions.

LCM of 548,783,348 is 429084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 373,905,771

GCF of Fractions 373/548,905/783,771/348 is 1/429084

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

Greatest Common Factor of 373,905,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,905,771 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 373,905,771 . The biggest common factor number is the GCF number.
So the greatest common factor 373,905,771 is 1.

Lets's calculate LCM of 548,783,348

2 548, 783, 348
2 274, 783, 174
3 137, 783, 87
29 137, 261, 29
137, 9, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 137 x 9 x 1 = 429084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429084

Therefore, the GCF of Fractions 373/548,905/783,771/348 is 1/429084

Least Common Multiple of 548,783,348 with GCF Formula

Least Common Multiple of 548,783,348 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 548,783,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,783,348) = 1

common factors(in case of two or more numbers have common factors) = 348

GCF(548,783,348) x common factors =1 x 348 = 348

LCM(548,783,348) = ( 548 × 783 × 348 ) / 348

LCM(548,783,348) = 149321232 / 348

LCM(548,783,348) = 429084


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 373/548, 905/783, 771/348

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 373/548, 905/783, 771/348?

Answer: GCF of Numerators as per given numbers 373/548, 905/783, 771/348 is

GCF of Numerators i.e. for 373,905,771 is 1

LCM of denominators i.e. for 548,783,348 is 429084.

Thus, GCF of Fractions is 1/429084.Finally, GCF of Fractions for 373/548, 905/783, 771/348 is 1/429084.