Greatest Common Factor of 3368/196, 7560/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3368/196, 7560/245

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 3368/196,7560/245

Given fractions are 3368/196,7560/245

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 3368,7560

Greatest Common Factor of Numerators i.e. GCF of 3368,7560 is 8 .

LCM of Denominators means LCM of 196,245 as per the given fractions.

LCM of 196,245 is 980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3368,7560

GCF of Fractions 3368/196,7560/245 is 8/980

2 3368, 7560
2 1684, 3780
2 842, 1890
421, 945

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3368,7560 By Matching Biggest Common Factor Method

Greatest Common Factor of 3368,7560 By Matching Biggest Common Factor Method

Factors of 3368

List of positive integer factors of 3368 that divides 3368 without a remainder.

1,2,4,8,421,842,1684,3368

Factors of 7560

List of positive integer factors of 7560 that divides 7560 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,27,28,30,35,36,40,42,45,54,56,60,63,70,72,84,90,105,108,120,126,135,140,168,180,189,210,216,252,270,280,315,360,378,420,504,540,630,756,840,945,1080,1260,1512,1890,2520,3780,7560

Greatest Common Factor

We found the factors 3368,7560 . The biggest common factor number is the GCF number.
So the greatest common factor 3368,7560 is 8.

Lets's calculate LCM of 196,245

7 196, 245
7 28, 35
4, 5

∴ So the LCM of the given numbers is 7 x 7 x 4 x 5 = 980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/980

Therefore, the GCF of Fractions 3368/196,7560/245 is 8/980

Least Common Multiple of 196,245 with GCF Formula

Least Common Multiple of 196,245 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 196,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,245) = 49

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

GCF(196,245) x common factors =49 x 1 = 49

LCM(196,245) = ( 196 × 245 ) / 49

LCM(196,245) = 48020 / 49

LCM(196,245) = 980


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 3368/196, 7560/245

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 3368/196, 7560/245?

Answer: GCF of Numerators as per given numbers 3368/196, 7560/245 is

GCF of Numerators i.e. for 3368,7560 is 8

LCM of denominators i.e. for 196,245 is 980.

Thus, GCF of Fractions is 8/980.Finally, GCF of Fractions for 3368/196, 7560/245 is 8/980.