Greatest Common Factor of 3506/980, 3552/2842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3506/980, 3552/2842

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 3506/980,3552/2842

Given fractions are 3506/980,3552/2842

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 3506,3552

Greatest Common Factor of Numerators i.e. GCF of 3506,3552 is 2 .

LCM of Denominators means LCM of 980,2842 as per the given fractions.

LCM of 980,2842 is 28420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3506,3552

GCF of Fractions 3506/980,3552/2842 is 2/28420

2 3506, 3552
1753, 1776

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

Greatest Common Factor of 3506,3552 By Matching Biggest Common Factor Method

Greatest Common Factor of 3506,3552 By Matching Biggest Common Factor Method

Factors of 3506

List of positive integer factors of 3506 that divides 3506 without a remainder.

1,2,1753,3506

Factors of 3552

List of positive integer factors of 3552 that divides 3552 without a remainder.

1,2,3,4,6,8,12,16,24,32,37,48,74,96,111,148,222,296,444,592,888,1184,1776,3552

Greatest Common Factor

We found the factors 3506,3552 . The biggest common factor number is the GCF number.
So the greatest common factor 3506,3552 is 2.

Lets's calculate LCM of 980,2842

2 980, 2842
7 490, 1421
7 70, 203
10, 29

∴ So the LCM of the given numbers is 2 x 7 x 7 x 10 x 29 = 28420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28420

Therefore, the GCF of Fractions 3506/980,3552/2842 is 2/28420

Least Common Multiple of 980,2842 with GCF Formula

Least Common Multiple of 980,2842 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 980,2842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,2842) = 98

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

GCF(980,2842) x common factors =98 x 1 = 98

LCM(980,2842) = ( 980 × 2842 ) / 98

LCM(980,2842) = 2785160 / 98

LCM(980,2842) = 28420


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 3506/980, 3552/2842

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 3506/980, 3552/2842?

Answer: GCF of Numerators as per given numbers 3506/980, 3552/2842 is

GCF of Numerators i.e. for 3506,3552 is 2

LCM of denominators i.e. for 980,2842 is 28420.

Thus, GCF of Fractions is 2/28420.Finally, GCF of Fractions for 3506/980, 3552/2842 is 2/28420.