Greatest Common Factor of 3067/782, 4195/3060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3067/782, 4195/3060

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 3067/782,4195/3060

Given fractions are 3067/782,4195/3060

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 3067,4195

Greatest Common Factor of Numerators i.e. GCF of 3067,4195 is 1 .

LCM of Denominators means LCM of 782,3060 as per the given fractions.

LCM of 782,3060 is 70380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3067,4195

GCF of Fractions 3067/782,4195/3060 is 1/70380

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

Greatest Common Factor of 3067,4195 By Matching Biggest Common Factor Method

Greatest Common Factor of 3067,4195 By Matching Biggest Common Factor Method

Factors of 3067

List of positive integer factors of 3067 that divides 3067 without a remainder.

1,3067

Factors of 4195

List of positive integer factors of 4195 that divides 4195 without a remainder.

1,5,839,4195

Greatest Common Factor

We found the factors 3067,4195 . The biggest common factor number is the GCF number.
So the greatest common factor 3067,4195 is 1.

Lets's calculate LCM of 782,3060

2 782, 3060
17 391, 1530
23, 90

∴ So the LCM of the given numbers is 2 x 17 x 23 x 90 = 70380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70380

Therefore, the GCF of Fractions 3067/782,4195/3060 is 1/70380

Least Common Multiple of 782,3060 with GCF Formula

Least Common Multiple of 782,3060 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 782,3060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,3060) = 34

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

GCF(782,3060) x common factors =34 x 1 = 34

LCM(782,3060) = ( 782 × 3060 ) / 34

LCM(782,3060) = 2392920 / 34

LCM(782,3060) = 70380


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 3067/782, 4195/3060

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 3067/782, 4195/3060?

Answer: GCF of Numerators as per given numbers 3067/782, 4195/3060 is

GCF of Numerators i.e. for 3067,4195 is 1

LCM of denominators i.e. for 782,3060 is 70380.

Thus, GCF of Fractions is 1/70380.Finally, GCF of Fractions for 3067/782, 4195/3060 is 1/70380.