Greatest Common Factor of 3429/48, 3890/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3429/48, 3890/676

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 3429/48,3890/676

Given fractions are 3429/48,3890/676

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 3429,3890

Greatest Common Factor of Numerators i.e. GCF of 3429,3890 is 1 .

LCM of Denominators means LCM of 48,676 as per the given fractions.

LCM of 48,676 is 8112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3429,3890

GCF of Fractions 3429/48,3890/676 is 1/8112

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3429,3890 By Matching Biggest Common Factor Method

Greatest Common Factor of 3429,3890 By Matching Biggest Common Factor Method

Factors of 3429

List of positive integer factors of 3429 that divides 3429 without a remainder.

1,3,9,27,127,381,1143,3429

Factors of 3890

List of positive integer factors of 3890 that divides 3890 without a remainder.

1,2,5,10,389,778,1945,3890

Greatest Common Factor

We found the factors 3429,3890 . The biggest common factor number is the GCF number.
So the greatest common factor 3429,3890 is 1.

Lets's calculate LCM of 48,676

2 48, 676
2 24, 338
12, 169

∴ So the LCM of the given numbers is 2 x 2 x 12 x 169 = 8112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8112

Therefore, the GCF of Fractions 3429/48,3890/676 is 1/8112

Least Common Multiple of 48,676 with GCF Formula

Least Common Multiple of 48,676 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 48,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,676) = 4

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

GCF(48,676) x common factors =4 x 1 = 4

LCM(48,676) = ( 48 × 676 ) / 4

LCM(48,676) = 32448 / 4

LCM(48,676) = 8112


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 3429/48, 3890/676

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 3429/48, 3890/676?

Answer: GCF of Numerators as per given numbers 3429/48, 3890/676 is

GCF of Numerators i.e. for 3429,3890 is 1

LCM of denominators i.e. for 48,676 is 8112.

Thus, GCF of Fractions is 1/8112.Finally, GCF of Fractions for 3429/48, 3890/676 is 1/8112.