Greatest Common Factor of 1333/88, 5370/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1333/88, 5370/319

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 1333/88,5370/319

Given fractions are 1333/88,5370/319

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 1333,5370

Greatest Common Factor of Numerators i.e. GCF of 1333,5370 is 1 .

LCM of Denominators means LCM of 88,319 as per the given fractions.

LCM of 88,319 is 2552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1333,5370

GCF of Fractions 1333/88,5370/319 is 1/2552

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

Greatest Common Factor of 1333,5370 By Matching Biggest Common Factor Method

Greatest Common Factor of 1333,5370 By Matching Biggest Common Factor Method

Factors of 1333

List of positive integer factors of 1333 that divides 1333 without a remainder.

1,31,43,1333

Factors of 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370

Greatest Common Factor

We found the factors 1333,5370 . The biggest common factor number is the GCF number.
So the greatest common factor 1333,5370 is 1.

Lets's calculate LCM of 88,319

11 88, 319
8, 29

∴ So the LCM of the given numbers is 11 x 8 x 29 = 2552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2552

Therefore, the GCF of Fractions 1333/88,5370/319 is 1/2552

Least Common Multiple of 88,319 with GCF Formula

Least Common Multiple of 88,319 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 88,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,319) = 11

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

GCF(88,319) x common factors =11 x 1 = 11

LCM(88,319) = ( 88 × 319 ) / 11

LCM(88,319) = 28072 / 11

LCM(88,319) = 2552


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 1333/88, 5370/319

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 1333/88, 5370/319?

Answer: GCF of Numerators as per given numbers 1333/88, 5370/319 is

GCF of Numerators i.e. for 1333,5370 is 1

LCM of denominators i.e. for 88,319 is 2552.

Thus, GCF of Fractions is 1/2552.Finally, GCF of Fractions for 1333/88, 5370/319 is 1/2552.