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GCF of 204/91, 850/4118

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 204/91, 850/4118 i.e 34/374738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/91, 850/4118.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 204/91,850/4118?

Given fractions are 204/91,850/4118

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 204/91,850/4118, numerators are 204,850

Denominators are 91,4118

The GCF of 204,850 is 34 .

LCM of 91,4118 is 374738.

The greatest common factor of 204/91,850/4118 = [GCF of 204,850]/[LCM of 91,4118]= 34/374738

Therefore, the GCF of 204/91,850/4118 is 34/374738.

Greatest Common Factor of 204,850

To find the highest common factor of 204,850, we have to find the factors of both numbers and list the highest common factor.

The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

The HCF of 204,850 is 34.

Lets's calculate GCF of 204,850

Greatest Common Factor (GCF) of 204,850 By Common Division

2 204, 850
17 102, 425
6, 25

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

Greatest Common Factor of 204,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,850 By Matching Biggest Common Factor Method

Now, list down the factors of 204

:

1,2,3,4,6,12,17,34,51,68,102,204

Now, list down the factors of 850

:

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 204,850 . The biggest common factor number is the GCF number.
So the greatest common factor 204,850 is 34.


Lets's calculate LCM of 91,4118

Lowest Common Multiple of 91,4118 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 374738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/374738

Therefore, the GCF of Fractions 204/91,850/4118 is 34/374738

Least Common Multiple of 91,4118 with GCF Formula

Least Common Multiple of 91,4118 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 91,4118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,4118) = 1

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

GCF(91,4118) x common factors =1 x 1 = 1

LCM(91,4118) = ( 91 × 4118 ) / 1

LCM(91,4118) = 374738 / 1

LCM(91,4118) = 374738


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 204/91, 850/4118

1. What is the HCF of 204,850?

The HCF of 204,850 is 34

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 204/91, 850/4118?

Answer: GCF of Numerators as per given numbers 204/91, 850/4118 is

GCF of Numerators i.e. for 204,850 is 34

LCM of denominators i.e. for 91,4118 is 374738.

Thus, GCF of Fractions is 34/374738.Finally, GCF of Fractions for 204/91, 850/4118 is 34/374738.