Greatest Common Factor of 2020/614, 2950/4270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2020/614, 2950/4270

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 2020/614,2950/4270

Given fractions are 2020/614,2950/4270

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 2020,2950

Greatest Common Factor of Numerators i.e. GCF of 2020,2950 is 10 .

LCM of Denominators means LCM of 614,4270 as per the given fractions.

LCM of 614,4270 is 1310890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2020,2950

GCF of Fractions 2020/614,2950/4270 is 10/1310890

2 2020, 2950
5 1010, 1475
202, 295

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 2020,2950 By Matching Biggest Common Factor Method

Greatest Common Factor of 2020,2950 By Matching Biggest Common Factor Method

Factors of 2020

List of positive integer factors of 2020 that divides 2020 without a remainder.

1,2,4,5,10,20,101,202,404,505,1010,2020

Factors of 2950

List of positive integer factors of 2950 that divides 2950 without a remainder.

1,2,5,10,25,50,59,118,295,590,1475,2950

Greatest Common Factor

We found the factors 2020,2950 . The biggest common factor number is the GCF number.
So the greatest common factor 2020,2950 is 10.

Lets's calculate LCM of 614,4270

2 614, 4270
307, 2135

∴ So the LCM of the given numbers is 2 x 307 x 2135 = 1310890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1310890

Therefore, the GCF of Fractions 2020/614,2950/4270 is 10/1310890

Least Common Multiple of 614,4270 with GCF Formula

Least Common Multiple of 614,4270 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 614,4270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,4270) = 2

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

GCF(614,4270) x common factors =2 x 1 = 2

LCM(614,4270) = ( 614 × 4270 ) / 2

LCM(614,4270) = 2621780 / 2

LCM(614,4270) = 1310890


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 2020/614, 2950/4270

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 2020/614, 2950/4270?

Answer: GCF of Numerators as per given numbers 2020/614, 2950/4270 is

GCF of Numerators i.e. for 2020,2950 is 10

LCM of denominators i.e. for 614,4270 is 1310890.

Thus, GCF of Fractions is 10/1310890.Finally, GCF of Fractions for 2020/614, 2950/4270 is 10/1310890.