How to Find GCF of 92/298, 25/724, 777/326?

GCF of 92/298, 25/724, 777/326

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 92/298, 25/724, 777/326 i.e 1/17583788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/298, 25/724, 777/326.

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 92/298,25/724,777/326?

Given fractions are 92/298,25/724,777/326

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 92/298,25/724,777/326, numerators are 92,25,777

Denominators are 298,724,326

The GCF of 92,25,777 is 1 .

LCM of 298,724,326 is 17583788.

The greatest common factor of 92/298,25/724,777/326 = [GCF of 92,25,777]/[LCM of 298,724,326]= 1/17583788

Therefore, the GCF of 92/298,25/724,777/326 is 1/17583788.

Greatest Common Factor of 92,25,777

To find the highest common factor of 92,25,777, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 25 are 1, 5, 25

The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777

The HCF of 92,25,777 is 1.

Lets's calculate GCF of 92,25,777

Greatest Common Factor (GCF) of 92,25,777 By Common Division

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

Greatest Common Factor of 92,25,777 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 25

1,5,25

Now, list down the factors of 777

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 92,25,777 . The biggest common factor number is the GCF number.
So the greatest common factor 92,25,777 is 1.

Lets's calculate LCM of 298,724,326

Lowest Common Multiple of 298,724,326 using Common Division

2	298, 724, 326
	149, 362, 163

∴ So the LCM of the given numbers is 2 x 149 x 362 x 163 = 17583788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17583788

Therefore, the GCF of Fractions 92/298,25/724,777/326 is 1/17583788

Least Common Multiple of 298,724,326 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 298,724,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,724,326) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(298,724,326) x common factors =2 x 2 = 4

LCM(298,724,326) = ( 298 × 724 × 326 ) / 4

LCM(298,724,326) = 70335152 / 4

LCM(298,724,326) = 17583788

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 92/298, 25/724, 777/326

1. What is the HCF of 92,25,777?

The HCF of 92,25,777 is 1

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 92/298, 25/724, 777/326?

Answer: GCF of Numerators as per given numbers 92/298, 25/724, 777/326 is

GCF of Numerators i.e. for 92,25,777 is 1

LCM of denominators i.e. for 298,724,326 is 17583788.

Thus, GCF of Fractions is 1/17583788.Finally, GCF of Fractions for 92/298, 25/724, 777/326 is 1/17583788.