Greatest Common Factor of 7780/30, 4078/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7780/30, 4078/746

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 7780/30,4078/746

Given fractions are 7780/30,4078/746

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 7780,4078

Greatest Common Factor of Numerators i.e. GCF of 7780,4078 is 2 .

LCM of Denominators means LCM of 30,746 as per the given fractions.

LCM of 30,746 is 11190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7780,4078

GCF of Fractions 7780/30,4078/746 is 2/11190

2 7780, 4078
3890, 2039

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

Greatest Common Factor of 7780,4078 By Matching Biggest Common Factor Method

Greatest Common Factor of 7780,4078 By Matching Biggest Common Factor Method

Factors of 7780

List of positive integer factors of 7780 that divides 7780 without a remainder.

1,2,4,5,10,20,389,778,1556,1945,3890,7780

Factors of 4078

List of positive integer factors of 4078 that divides 4078 without a remainder.

1,2,2039,4078

Greatest Common Factor

We found the factors 7780,4078 . The biggest common factor number is the GCF number.
So the greatest common factor 7780,4078 is 2.


Lets's calculate LCM of 30,746

2 30, 746
15, 373

∴ So the LCM of the given numbers is 2 x 15 x 373 = 11190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11190

Therefore, the GCF of Fractions 7780/30,4078/746 is 2/11190

Least Common Multiple of 30,746 with GCF Formula

Least Common Multiple of 30,746 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 30,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,746) = 2

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

GCF(30,746) x common factors =2 x 1 = 2

LCM(30,746) = ( 30 × 746 ) / 2

LCM(30,746) = 22380 / 2

LCM(30,746) = 11190


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7780/30, 4078/746

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 7780/30, 4078/746?

Answer: GCF of Numerators as per given numbers 7780/30, 4078/746 is

GCF of Numerators i.e. for 7780,4078 is 2

LCM of denominators i.e. for 30,746 is 11190.

Thus, GCF of Fractions is 2/11190.Finally, GCF of Fractions for 7780/30, 4078/746 is 2/11190.