How to Find GCF of 950/204, 9212/118?

GCF of 950/204, 9212/118

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 950/204, 9212/118 i.e 2/12036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/204, 9212/118.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 950/204,9212/118?

Given fractions are 950/204,9212/118

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 950/204,9212/118, numerators are 950,9212

Denominators are 204,118

The GCF of 950,9212 is 2 .

LCM of 204,118 is 12036.

The greatest common factor of 950/204,9212/118 = [GCF of 950,9212]/[LCM of 204,118]= 2/12036

Therefore, the GCF of 950/204,9212/118 is 2/12036.

Greatest Common Factor of 950,9212

To find the highest common factor of 950,9212, we have to find the factors of both numbers and list the highest common factor.

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

The factors of 9212 are 1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212

The HCF of 950,9212 is 2.

Lets's calculate GCF of 950,9212

Greatest Common Factor (GCF) of 950,9212 By Common Division

2	950, 9212
	475, 4606

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

Greatest Common Factor of 950,9212 By Matching Biggest Common Factor Method

Now, list down the factors of 950

1,2,5,10,19,25,38,50,95,190,475,950

Now, list down the factors of 9212

1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212

Greatest Common Factor

We found the factors 950,9212 . The biggest common factor number is the GCF number.
So the greatest common factor 950,9212 is 2.

Lets's calculate LCM of 204,118

Lowest Common Multiple of 204,118 using Common Division

2	204, 118
	102, 59

∴ So the LCM of the given numbers is 2 x 102 x 59 = 12036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12036

Therefore, the GCF of Fractions 950/204,9212/118 is 2/12036

Least Common Multiple of 204,118 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 204,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,118) = 2

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

GCF(204,118) x common factors =2 x 1 = 2

LCM(204,118) = ( 204 × 118 ) / 2

LCM(204,118) = 24072 / 2

LCM(204,118) = 12036

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 950/204, 9212/118

1. What is the HCF of 950,9212?

The HCF of 950,9212 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 950/204, 9212/118?

Answer: GCF of Numerators as per given numbers 950/204, 9212/118 is

GCF of Numerators i.e. for 950,9212 is 2

LCM of denominators i.e. for 204,118 is 12036.

Thus, GCF of Fractions is 2/12036.Finally, GCF of Fractions for 950/204, 9212/118 is 2/12036.