Greatest Common Factor of 3420/380, 9078/7892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3420/380, 9078/7892

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 3420/380,9078/7892

Given fractions are 3420/380,9078/7892

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 3420,9078

Greatest Common Factor of Numerators i.e. GCF of 3420,9078 is 6 .

LCM of Denominators means LCM of 380,7892 as per the given fractions.

LCM of 380,7892 is 749740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3420,9078

GCF of Fractions 3420/380,9078/7892 is 6/749740

2 3420, 9078
3 1710, 4539
570, 1513

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3420,9078 By Matching Biggest Common Factor Method

Greatest Common Factor of 3420,9078 By Matching Biggest Common Factor Method

Factors of 3420

List of positive integer factors of 3420 that divides 3420 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420

Factors of 9078

List of positive integer factors of 9078 that divides 9078 without a remainder.

1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078

Greatest Common Factor

We found the factors 3420,9078 . The biggest common factor number is the GCF number.
So the greatest common factor 3420,9078 is 6.

Lets's calculate LCM of 380,7892

2 380, 7892
2 190, 3946
95, 1973

∴ So the LCM of the given numbers is 2 x 2 x 95 x 1973 = 749740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/749740

Therefore, the GCF of Fractions 3420/380,9078/7892 is 6/749740

Least Common Multiple of 380,7892 with GCF Formula

Least Common Multiple of 380,7892 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 380,7892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,7892) = 4

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

GCF(380,7892) x common factors =4 x 1 = 4

LCM(380,7892) = ( 380 × 7892 ) / 4

LCM(380,7892) = 2998960 / 4

LCM(380,7892) = 749740


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 3420/380, 9078/7892

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 3420/380, 9078/7892?

Answer: GCF of Numerators as per given numbers 3420/380, 9078/7892 is

GCF of Numerators i.e. for 3420,9078 is 6

LCM of denominators i.e. for 380,7892 is 749740.

Thus, GCF of Fractions is 6/749740.Finally, GCF of Fractions for 3420/380, 9078/7892 is 6/749740.