Greatest Common Factor of 4522/774, 4462/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4522/774, 4462/947

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 4522/774,4462/947

Given fractions are 4522/774,4462/947

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 4522,4462

Greatest Common Factor of Numerators i.e. GCF of 4522,4462 is 2 .

LCM of Denominators means LCM of 774,947 as per the given fractions.

LCM of 774,947 is 732978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4522,4462

GCF of Fractions 4522/774,4462/947 is 2/732978

2 4522, 4462
2261, 2231

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4522,4462 By Matching Biggest Common Factor Method

Greatest Common Factor of 4522,4462 By Matching Biggest Common Factor Method

Factors of 4522

List of positive integer factors of 4522 that divides 4522 without a remainder.

1,2,7,14,17,19,34,38,119,133,238,266,323,646,2261,4522

Factors of 4462

List of positive integer factors of 4462 that divides 4462 without a remainder.

1,2,23,46,97,194,2231,4462

Greatest Common Factor

We found the factors 4522,4462 . The biggest common factor number is the GCF number.
So the greatest common factor 4522,4462 is 2.

Lets's calculate LCM of 774,947

Given numbers has no common factors except 1. So, there LCM is their product i.e 732978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/732978

Therefore, the GCF of Fractions 4522/774,4462/947 is 2/732978

Least Common Multiple of 774,947 with GCF Formula

Least Common Multiple of 774,947 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 774,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,947) = 1

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

GCF(774,947) x common factors =1 x 1 = 1

LCM(774,947) = ( 774 × 947 ) / 1

LCM(774,947) = 732978 / 1

LCM(774,947) = 732978


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 4522/774, 4462/947

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 4522/774, 4462/947?

Answer: GCF of Numerators as per given numbers 4522/774, 4462/947 is

GCF of Numerators i.e. for 4522,4462 is 2

LCM of denominators i.e. for 774,947 is 732978.

Thus, GCF of Fractions is 2/732978.Finally, GCF of Fractions for 4522/774, 4462/947 is 2/732978.