Greatest Common Factor of 342/42, 784/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 342/42, 784/505

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 342/42,784/505

Given fractions are 342/42,784/505

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 342,784

Greatest Common Factor of Numerators i.e. GCF of 342,784 is 2 .

LCM of Denominators means LCM of 42,505 as per the given fractions.

LCM of 42,505 is 21210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 342,784

GCF of Fractions 342/42,784/505 is 2/21210

2 342, 784
171, 392

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

Greatest Common Factor of 342,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,784 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 342,784 . The biggest common factor number is the GCF number.
So the greatest common factor 342,784 is 2.

Lets's calculate LCM of 42,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 21210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21210

Therefore, the GCF of Fractions 342/42,784/505 is 2/21210

Least Common Multiple of 42,505 with GCF Formula

Least Common Multiple of 42,505 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 42,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,505) = 1

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

GCF(42,505) x common factors =1 x 1 = 1

LCM(42,505) = ( 42 × 505 ) / 1

LCM(42,505) = 21210 / 1

LCM(42,505) = 21210


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 342/42, 784/505

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 342/42, 784/505?

Answer: GCF of Numerators as per given numbers 342/42, 784/505 is

GCF of Numerators i.e. for 342,784 is 2

LCM of denominators i.e. for 42,505 is 21210.

Thus, GCF of Fractions is 2/21210.Finally, GCF of Fractions for 342/42, 784/505 is 2/21210.