Greatest Common Factor of 7024/298, 4284/3335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7024/298, 4284/3335

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 7024/298,4284/3335

Given fractions are 7024/298,4284/3335

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 7024,4284

Greatest Common Factor of Numerators i.e. GCF of 7024,4284 is 4 .

LCM of Denominators means LCM of 298,3335 as per the given fractions.

LCM of 298,3335 is 993830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7024,4284

GCF of Fractions 7024/298,4284/3335 is 4/993830

2 7024, 4284
2 3512, 2142
1756, 1071

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

Greatest Common Factor of 7024,4284 By Matching Biggest Common Factor Method

Greatest Common Factor of 7024,4284 By Matching Biggest Common Factor Method

Factors of 7024

List of positive integer factors of 7024 that divides 7024 without a remainder.

1,2,4,8,16,439,878,1756,3512,7024

Factors of 4284

List of positive integer factors of 4284 that divides 4284 without a remainder.

1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284

Greatest Common Factor

We found the factors 7024,4284 . The biggest common factor number is the GCF number.
So the greatest common factor 7024,4284 is 4.

Lets's calculate LCM of 298,3335

Given numbers has no common factors except 1. So, there LCM is their product i.e 993830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/993830

Therefore, the GCF of Fractions 7024/298,4284/3335 is 4/993830

Least Common Multiple of 298,3335 with GCF Formula

Least Common Multiple of 298,3335 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 298,3335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,3335) = 1

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

GCF(298,3335) x common factors =1 x 1 = 1

LCM(298,3335) = ( 298 × 3335 ) / 1

LCM(298,3335) = 993830 / 1

LCM(298,3335) = 993830


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 7024/298, 4284/3335

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 7024/298, 4284/3335?

Answer: GCF of Numerators as per given numbers 7024/298, 4284/3335 is

GCF of Numerators i.e. for 7024,4284 is 4

LCM of denominators i.e. for 298,3335 is 993830.

Thus, GCF of Fractions is 4/993830.Finally, GCF of Fractions for 7024/298, 4284/3335 is 4/993830.