Greatest Common Factor of 7874/514, 3434/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7874/514, 3434/853

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 7874/514,3434/853

Given fractions are 7874/514,3434/853

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 7874,3434

Greatest Common Factor of Numerators i.e. GCF of 7874,3434 is 2 .

LCM of Denominators means LCM of 514,853 as per the given fractions.

LCM of 514,853 is 438442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7874,3434

GCF of Fractions 7874/514,3434/853 is 2/438442

2 7874, 3434
3937, 1717

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

Greatest Common Factor of 7874,3434 By Matching Biggest Common Factor Method

Greatest Common Factor of 7874,3434 By Matching Biggest Common Factor Method

Factors of 7874

List of positive integer factors of 7874 that divides 7874 without a remainder.

1,2,31,62,127,254,3937,7874

Factors of 3434

List of positive integer factors of 3434 that divides 3434 without a remainder.

1,2,17,34,101,202,1717,3434

Greatest Common Factor

We found the factors 7874,3434 . The biggest common factor number is the GCF number.
So the greatest common factor 7874,3434 is 2.

Lets's calculate LCM of 514,853

Given numbers has no common factors except 1. So, there LCM is their product i.e 438442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/438442

Therefore, the GCF of Fractions 7874/514,3434/853 is 2/438442

Least Common Multiple of 514,853 with GCF Formula

Least Common Multiple of 514,853 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 514,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,853) = 1

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

GCF(514,853) x common factors =1 x 1 = 1

LCM(514,853) = ( 514 × 853 ) / 1

LCM(514,853) = 438442 / 1

LCM(514,853) = 438442


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 7874/514, 3434/853

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 7874/514, 3434/853?

Answer: GCF of Numerators as per given numbers 7874/514, 3434/853 is

GCF of Numerators i.e. for 7874,3434 is 2

LCM of denominators i.e. for 514,853 is 438442.

Thus, GCF of Fractions is 2/438442.Finally, GCF of Fractions for 7874/514, 3434/853 is 2/438442.