Greatest Common Factor of 70/508, 33/893, 505/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/508, 33/893, 505/313

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 70/508,33/893,505/313

Given fractions are 70/508,33/893,505/313

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 70,33,505

Greatest Common Factor of Numerators i.e. GCF of 70,33,505 is 1 .

LCM of Denominators means LCM of 508,893,313 as per the given fractions.

LCM of 508,893,313 is 141990572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,33,505

GCF of Fractions 70/508,33/893,505/313 is 1/141990572

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

Greatest Common Factor of 70,33,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,33,505 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 70,33,505 . The biggest common factor number is the GCF number.
So the greatest common factor 70,33,505 is 1.

Lets's calculate LCM of 508,893,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 141990572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141990572

Therefore, the GCF of Fractions 70/508,33/893,505/313 is 1/141990572

Least Common Multiple of 508,893,313 with GCF Formula

Least Common Multiple of 508,893,313 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 508,893,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,893,313) = 1

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

GCF(508,893,313) x common factors =1 x 1 = 1

LCM(508,893,313) = ( 508 × 893 × 313 ) / 1

LCM(508,893,313) = 141990572 / 1

LCM(508,893,313) = 141990572


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 70/508, 33/893, 505/313

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 70/508, 33/893, 505/313?

Answer: GCF of Numerators as per given numbers 70/508, 33/893, 505/313 is

GCF of Numerators i.e. for 70,33,505 is 1

LCM of denominators i.e. for 508,893,313 is 141990572.

Thus, GCF of Fractions is 1/141990572.Finally, GCF of Fractions for 70/508, 33/893, 505/313 is 1/141990572.