Greatest Common Factor of 711/901, 258/480, 893/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 711/901, 258/480, 893/923

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 711/901,258/480,893/923

Given fractions are 711/901,258/480,893/923

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 711,258,893

Greatest Common Factor of Numerators i.e. GCF of 711,258,893 is 1 .

LCM of Denominators means LCM of 901,480,923 as per the given fractions.

LCM of 901,480,923 is 399179040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 711,258,893

GCF of Fractions 711/901,258/480,893/923 is 1/399179040

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

Greatest Common Factor of 711,258,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,258,893 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 711,258,893 . The biggest common factor number is the GCF number.
So the greatest common factor 711,258,893 is 1.

Lets's calculate LCM of 901,480,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 399179040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399179040

Therefore, the GCF of Fractions 711/901,258/480,893/923 is 1/399179040

Least Common Multiple of 901,480,923 with GCF Formula

Least Common Multiple of 901,480,923 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 901,480,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,480,923) = 1

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

GCF(901,480,923) x common factors =1 x 1 = 1

LCM(901,480,923) = ( 901 × 480 × 923 ) / 1

LCM(901,480,923) = 399179040 / 1

LCM(901,480,923) = 399179040


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 711/901, 258/480, 893/923

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 711/901, 258/480, 893/923?

Answer: GCF of Numerators as per given numbers 711/901, 258/480, 893/923 is

GCF of Numerators i.e. for 711,258,893 is 1

LCM of denominators i.e. for 901,480,923 is 399179040.

Thus, GCF of Fractions is 1/399179040.Finally, GCF of Fractions for 711/901, 258/480, 893/923 is 1/399179040.