Greatest Common Factor of 1948/765, 4214/4133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1948/765, 4214/4133

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 1948/765,4214/4133

Given fractions are 1948/765,4214/4133

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 1948,4214

Greatest Common Factor of Numerators i.e. GCF of 1948,4214 is 2 .

LCM of Denominators means LCM of 765,4133 as per the given fractions.

LCM of 765,4133 is 3161745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1948,4214

GCF of Fractions 1948/765,4214/4133 is 2/3161745

2 1948, 4214
974, 2107

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

Greatest Common Factor of 1948,4214 By Matching Biggest Common Factor Method

Greatest Common Factor of 1948,4214 By Matching Biggest Common Factor Method

Factors of 1948

List of positive integer factors of 1948 that divides 1948 without a remainder.

1,2,4,487,974,1948

Factors of 4214

List of positive integer factors of 4214 that divides 4214 without a remainder.

1,2,7,14,43,49,86,98,301,602,2107,4214

Greatest Common Factor

We found the factors 1948,4214 . The biggest common factor number is the GCF number.
So the greatest common factor 1948,4214 is 2.

Lets's calculate LCM of 765,4133

Given numbers has no common factors except 1. So, there LCM is their product i.e 3161745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3161745

Therefore, the GCF of Fractions 1948/765,4214/4133 is 2/3161745

Least Common Multiple of 765,4133 with GCF Formula

Least Common Multiple of 765,4133 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 765,4133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,4133) = 1

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

GCF(765,4133) x common factors =1 x 1 = 1

LCM(765,4133) = ( 765 × 4133 ) / 1

LCM(765,4133) = 3161745 / 1

LCM(765,4133) = 3161745


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 1948/765, 4214/4133

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 1948/765, 4214/4133?

Answer: GCF of Numerators as per given numbers 1948/765, 4214/4133 is

GCF of Numerators i.e. for 1948,4214 is 2

LCM of denominators i.e. for 765,4133 is 3161745.

Thus, GCF of Fractions is 2/3161745.Finally, GCF of Fractions for 1948/765, 4214/4133 is 2/3161745.