Greatest Common Factor of 412/40, 548/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 412/40, 548/707

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 412/40,548/707

Given fractions are 412/40,548/707

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 412,548

Greatest Common Factor of Numerators i.e. GCF of 412,548 is 4 .

LCM of Denominators means LCM of 40,707 as per the given fractions.

LCM of 40,707 is 28280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 412,548

GCF of Fractions 412/40,548/707 is 4/28280

2 412, 548
2 206, 274
103, 137

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

Greatest Common Factor of 412,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,548 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 412,548 . The biggest common factor number is the GCF number.
So the greatest common factor 412,548 is 4.

Lets's calculate LCM of 40,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 28280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/28280

Therefore, the GCF of Fractions 412/40,548/707 is 4/28280

Least Common Multiple of 40,707 with GCF Formula

Least Common Multiple of 40,707 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 40,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,707) = 1

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

GCF(40,707) x common factors =1 x 1 = 1

LCM(40,707) = ( 40 × 707 ) / 1

LCM(40,707) = 28280 / 1

LCM(40,707) = 28280


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 412/40, 548/707

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 412/40, 548/707?

Answer: GCF of Numerators as per given numbers 412/40, 548/707 is

GCF of Numerators i.e. for 412,548 is 4

LCM of denominators i.e. for 40,707 is 28280.

Thus, GCF of Fractions is 4/28280.Finally, GCF of Fractions for 412/40, 548/707 is 4/28280.