Greatest Common Factor of 562/25, 102/56, 112/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 562/25, 102/56, 112/677

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 562/25,102/56,112/677

Given fractions are 562/25,102/56,112/677

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 562,102,112

Greatest Common Factor of Numerators i.e. GCF of 562,102,112 is 2 .

LCM of Denominators means LCM of 25,56,677 as per the given fractions.

LCM of 25,56,677 is 947800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 562,102,112

GCF of Fractions 562/25,102/56,112/677 is 2/947800

2 562, 102, 112
281, 51, 56

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

Greatest Common Factor of 562,102,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,102,112 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 562,102,112 . The biggest common factor number is the GCF number.
So the greatest common factor 562,102,112 is 2.

Lets's calculate LCM of 25,56,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 947800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/947800

Therefore, the GCF of Fractions 562/25,102/56,112/677 is 2/947800

Least Common Multiple of 25,56,677 with GCF Formula

Least Common Multiple of 25,56,677 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 25,56,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,56,677) = 1

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

GCF(25,56,677) x common factors =1 x 1 = 1

LCM(25,56,677) = ( 25 × 56 × 677 ) / 1

LCM(25,56,677) = 947800 / 1

LCM(25,56,677) = 947800


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 562/25, 102/56, 112/677

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 562/25, 102/56, 112/677?

Answer: GCF of Numerators as per given numbers 562/25, 102/56, 112/677 is

GCF of Numerators i.e. for 562,102,112 is 2

LCM of denominators i.e. for 25,56,677 is 947800.

Thus, GCF of Fractions is 2/947800.Finally, GCF of Fractions for 562/25, 102/56, 112/677 is 2/947800.