Greatest Common Factor of 340/426, 3808/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 340/426, 3808/270

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 340/426,3808/270

Given fractions are 340/426,3808/270

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 340,3808

Greatest Common Factor of Numerators i.e. GCF of 340,3808 is 68 .

LCM of Denominators means LCM of 426,270 as per the given fractions.

LCM of 426,270 is 19170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 340,3808

GCF of Fractions 340/426,3808/270 is 68/19170

2 340, 3808
2 170, 1904
17 85, 952
5, 56

∴ So the GCF of the given numbers is 2 x 2 x 17 = 68

Greatest Common Factor of 340,3808 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,3808 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 3808

List of positive integer factors of 3808 that divides 3808 without a remainder.

1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808

Greatest Common Factor

We found the factors 340,3808 . The biggest common factor number is the GCF number.
So the greatest common factor 340,3808 is 68.

Lets's calculate LCM of 426,270

2 426, 270
3 213, 135
71, 45

∴ So the LCM of the given numbers is 2 x 3 x 71 x 45 = 19170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/19170

Therefore, the GCF of Fractions 340/426,3808/270 is 68/19170

Least Common Multiple of 426,270 with GCF Formula

Least Common Multiple of 426,270 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 426,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,270) = 6

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

GCF(426,270) x common factors =6 x 1 = 6

LCM(426,270) = ( 426 × 270 ) / 6

LCM(426,270) = 115020 / 6

LCM(426,270) = 19170


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 340/426, 3808/270

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 340/426, 3808/270?

Answer: GCF of Numerators as per given numbers 340/426, 3808/270 is

GCF of Numerators i.e. for 340,3808 is 68

LCM of denominators i.e. for 426,270 is 19170.

Thus, GCF of Fractions is 68/19170.Finally, GCF of Fractions for 340/426, 3808/270 is 68/19170.