Greatest Common Factor of 3420/938, 7603/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3420/938, 7603/574

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 3420/938,7603/574

Given fractions are 3420/938,7603/574

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 3420,7603

Greatest Common Factor of Numerators i.e. GCF of 3420,7603 is 1 .

LCM of Denominators means LCM of 938,574 as per the given fractions.

LCM of 938,574 is 38458 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3420,7603

GCF of Fractions 3420/938,7603/574 is 1/38458

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

Greatest Common Factor of 3420,7603 By Matching Biggest Common Factor Method

Greatest Common Factor of 3420,7603 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 7603

List of positive integer factors of 7603 that divides 7603 without a remainder.

1,7603

Greatest Common Factor

We found the factors 3420,7603 . The biggest common factor number is the GCF number.
So the greatest common factor 3420,7603 is 1.

Lets's calculate LCM of 938,574

2 938, 574
7 469, 287
67, 41

∴ So the LCM of the given numbers is 2 x 7 x 67 x 41 = 38458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38458

Therefore, the GCF of Fractions 3420/938,7603/574 is 1/38458

Least Common Multiple of 938,574 with GCF Formula

Least Common Multiple of 938,574 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 938,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,574) = 14

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

GCF(938,574) x common factors =14 x 1 = 14

LCM(938,574) = ( 938 × 574 ) / 14

LCM(938,574) = 538412 / 14

LCM(938,574) = 38458


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 3420/938, 7603/574

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 3420/938, 7603/574?

Answer: GCF of Numerators as per given numbers 3420/938, 7603/574 is

GCF of Numerators i.e. for 3420,7603 is 1

LCM of denominators i.e. for 938,574 is 38458.

Thus, GCF of Fractions is 1/38458.Finally, GCF of Fractions for 3420/938, 7603/574 is 1/38458.