Greatest Common Factor of 3469/80, 7914/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3469/80, 7914/148

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 3469/80,7914/148

Given fractions are 3469/80,7914/148

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 3469,7914

Greatest Common Factor of Numerators i.e. GCF of 3469,7914 is 1 .

LCM of Denominators means LCM of 80,148 as per the given fractions.

LCM of 80,148 is 2960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3469,7914

GCF of Fractions 3469/80,7914/148 is 1/2960

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

Greatest Common Factor of 3469,7914 By Matching Biggest Common Factor Method

Greatest Common Factor of 3469,7914 By Matching Biggest Common Factor Method

Factors of 3469

List of positive integer factors of 3469 that divides 3469 without a remainder.

1,3469

Factors of 7914

List of positive integer factors of 7914 that divides 7914 without a remainder.

1,2,3,6,1319,2638,3957,7914

Greatest Common Factor

We found the factors 3469,7914 . The biggest common factor number is the GCF number.
So the greatest common factor 3469,7914 is 1.

Lets's calculate LCM of 80,148

2 80, 148
2 40, 74
20, 37

∴ So the LCM of the given numbers is 2 x 2 x 20 x 37 = 2960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2960

Therefore, the GCF of Fractions 3469/80,7914/148 is 1/2960

Least Common Multiple of 80,148 with GCF Formula

Least Common Multiple of 80,148 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 80,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,148) = 4

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

GCF(80,148) x common factors =4 x 1 = 4

LCM(80,148) = ( 80 × 148 ) / 4

LCM(80,148) = 11840 / 4

LCM(80,148) = 2960


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 3469/80, 7914/148

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 3469/80, 7914/148?

Answer: GCF of Numerators as per given numbers 3469/80, 7914/148 is

GCF of Numerators i.e. for 3469,7914 is 1

LCM of denominators i.e. for 80,148 is 2960.

Thus, GCF of Fractions is 1/2960.Finally, GCF of Fractions for 3469/80, 7914/148 is 1/2960.