Greatest Common Factor of 369/349, 773/114, 700/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 369/349, 773/114, 700/488

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 369/349,773/114,700/488

Given fractions are 369/349,773/114,700/488

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 369,773,700

Greatest Common Factor of Numerators i.e. GCF of 369,773,700 is 1 .

LCM of Denominators means LCM of 349,114,488 as per the given fractions.

LCM of 349,114,488 is 9707784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 369,773,700

GCF of Fractions 369/349,773/114,700/488 is 1/9707784

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

Greatest Common Factor of 369,773,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,773,700 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 369,773,700 . The biggest common factor number is the GCF number.
So the greatest common factor 369,773,700 is 1.

Lets's calculate LCM of 349,114,488

2 349, 114, 488
349, 57, 244

∴ So the LCM of the given numbers is 2 x 349 x 57 x 244 = 9707784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9707784

Therefore, the GCF of Fractions 369/349,773/114,700/488 is 1/9707784

Least Common Multiple of 349,114,488 with GCF Formula

Least Common Multiple of 349,114,488 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 349,114,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,114,488) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(349,114,488) x common factors =1 x 2 = 2

LCM(349,114,488) = ( 349 × 114 × 488 ) / 2

LCM(349,114,488) = 19415568 / 2

LCM(349,114,488) = 9707784


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 369/349, 773/114, 700/488

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 369/349, 773/114, 700/488?

Answer: GCF of Numerators as per given numbers 369/349, 773/114, 700/488 is

GCF of Numerators i.e. for 369,773,700 is 1

LCM of denominators i.e. for 349,114,488 is 9707784.

Thus, GCF of Fractions is 1/9707784.Finally, GCF of Fractions for 369/349, 773/114, 700/488 is 1/9707784.