Greatest Common Factor of 374/842, 2312/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 374/842, 2312/700

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 374/842,2312/700

Given fractions are 374/842,2312/700

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 374,2312

Greatest Common Factor of Numerators i.e. GCF of 374,2312 is 34 .

LCM of Denominators means LCM of 842,700 as per the given fractions.

LCM of 842,700 is 294700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 374,2312

GCF of Fractions 374/842,2312/700 is 34/294700

2 374, 2312
17 187, 1156
11, 68

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 374,2312 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,2312 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 2312

List of positive integer factors of 2312 that divides 2312 without a remainder.

1,2,4,8,17,34,68,136,289,578,1156,2312

Greatest Common Factor

We found the factors 374,2312 . The biggest common factor number is the GCF number.
So the greatest common factor 374,2312 is 34.

Lets's calculate LCM of 842,700

2 842, 700
421, 350

∴ So the LCM of the given numbers is 2 x 421 x 350 = 294700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/294700

Therefore, the GCF of Fractions 374/842,2312/700 is 34/294700

Least Common Multiple of 842,700 with GCF Formula

Least Common Multiple of 842,700 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 842,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,700) = 2

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

GCF(842,700) x common factors =2 x 1 = 2

LCM(842,700) = ( 842 × 700 ) / 2

LCM(842,700) = 589400 / 2

LCM(842,700) = 294700


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 374/842, 2312/700

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 374/842, 2312/700?

Answer: GCF of Numerators as per given numbers 374/842, 2312/700 is

GCF of Numerators i.e. for 374,2312 is 34

LCM of denominators i.e. for 842,700 is 294700.

Thus, GCF of Fractions is 34/294700.Finally, GCF of Fractions for 374/842, 2312/700 is 34/294700.