Greatest Common Factor of 56/584, 60/310, 692/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/584, 60/310, 692/298

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 56/584,60/310,692/298

Given fractions are 56/584,60/310,692/298

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 56,60,692

Greatest Common Factor of Numerators i.e. GCF of 56,60,692 is 4 .

LCM of Denominators means LCM of 584,310,298 as per the given fractions.

LCM of 584,310,298 is 13487480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,60,692

GCF of Fractions 56/584,60/310,692/298 is 4/13487480

2 56, 60, 692
2 28, 30, 346
14, 15, 173

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 56,60,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,60,692 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 56,60,692 . The biggest common factor number is the GCF number.
So the greatest common factor 56,60,692 is 4.

Lets's calculate LCM of 584,310,298

2 584, 310, 298
292, 155, 149

∴ So the LCM of the given numbers is 2 x 292 x 155 x 149 = 13487480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13487480

Therefore, the GCF of Fractions 56/584,60/310,692/298 is 4/13487480

Least Common Multiple of 584,310,298 with GCF Formula

Least Common Multiple of 584,310,298 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 584,310,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,310,298) = 2

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

GCF(584,310,298) x common factors =2 x 2 = 4

LCM(584,310,298) = ( 584 × 310 × 298 ) / 4

LCM(584,310,298) = 53949920 / 4

LCM(584,310,298) = 13487480


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 56/584, 60/310, 692/298

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 56/584, 60/310, 692/298?

Answer: GCF of Numerators as per given numbers 56/584, 60/310, 692/298 is

GCF of Numerators i.e. for 56,60,692 is 4

LCM of denominators i.e. for 584,310,298 is 13487480.

Thus, GCF of Fractions is 4/13487480.Finally, GCF of Fractions for 56/584, 60/310, 692/298 is 4/13487480.