Greatest Common Factor of 1627/392, 8074/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1627/392, 8074/306

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 1627/392,8074/306

Given fractions are 1627/392,8074/306

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 1627,8074

Greatest Common Factor of Numerators i.e. GCF of 1627,8074 is 1 .

LCM of Denominators means LCM of 392,306 as per the given fractions.

LCM of 392,306 is 59976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1627,8074

GCF of Fractions 1627/392,8074/306 is 1/59976

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

Greatest Common Factor of 1627,8074 By Matching Biggest Common Factor Method

Greatest Common Factor of 1627,8074 By Matching Biggest Common Factor Method

Factors of 1627

List of positive integer factors of 1627 that divides 1627 without a remainder.

1,1627

Factors of 8074

List of positive integer factors of 8074 that divides 8074 without a remainder.

1,2,11,22,367,734,4037,8074

Greatest Common Factor

We found the factors 1627,8074 . The biggest common factor number is the GCF number.
So the greatest common factor 1627,8074 is 1.

Lets's calculate LCM of 392,306

2 392, 306
196, 153

∴ So the LCM of the given numbers is 2 x 196 x 153 = 59976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59976

Therefore, the GCF of Fractions 1627/392,8074/306 is 1/59976

Least Common Multiple of 392,306 with GCF Formula

Least Common Multiple of 392,306 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 392,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,306) = 2

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

GCF(392,306) x common factors =2 x 1 = 2

LCM(392,306) = ( 392 × 306 ) / 2

LCM(392,306) = 119952 / 2

LCM(392,306) = 59976


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 1627/392, 8074/306

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 1627/392, 8074/306?

Answer: GCF of Numerators as per given numbers 1627/392, 8074/306 is

GCF of Numerators i.e. for 1627,8074 is 1

LCM of denominators i.e. for 392,306 is 59976.

Thus, GCF of Fractions is 1/59976.Finally, GCF of Fractions for 1627/392, 8074/306 is 1/59976.