How to Find GCF of 94/88, 225/12, 403/539?

GCF of 94/88, 225/12, 403/539

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 94/88, 225/12, 403/539 i.e 1/12936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/88, 225/12, 403/539.

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 94/88,225/12,403/539?

Given fractions are 94/88,225/12,403/539

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 94/88,225/12,403/539, numerators are 94,225,403

Denominators are 88,12,539

The GCF of 94,225,403 is 1 .

LCM of 88,12,539 is 12936.

The greatest common factor of 94/88,225/12,403/539 = [GCF of 94,225,403]/[LCM of 88,12,539]= 1/12936

Therefore, the GCF of 94/88,225/12,403/539 is 1/12936.

Greatest Common Factor of 94,225,403

To find the highest common factor of 94,225,403, we have to find the factors of both numbers and list the highest common factor.

The factors of 94 are 1, 2, 47, 94

The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225

The factors of 403 are 1, 13, 31, 403

The HCF of 94,225,403 is 1.

Lets's calculate GCF of 94,225,403

Greatest Common Factor (GCF) of 94,225,403 By Common Division

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

Greatest Common Factor of 94,225,403 By Matching Biggest Common Factor Method

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 225

1,3,5,9,15,25,45,75,225

Now, list down the factors of 403

1,13,31,403

Greatest Common Factor

We found the factors 94,225,403 . The biggest common factor number is the GCF number.
So the greatest common factor 94,225,403 is 1.

Lets's calculate LCM of 88,12,539

Lowest Common Multiple of 88,12,539 using Common Division

2	88, 12, 539
2	44, 6, 539
11	22, 3, 539
	2, 3, 49

∴ So the LCM of the given numbers is 2 x 2 x 11 x 2 x 3 x 49 = 12936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12936

Therefore, the GCF of Fractions 94/88,225/12,403/539 is 1/12936

Least Common Multiple of 88,12,539 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 88,12,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,12,539) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(88,12,539) x common factors =1 x 44 = 44

LCM(88,12,539) = ( 88 × 12 × 539 ) / 44

LCM(88,12,539) = 569184 / 44

LCM(88,12,539) = 12936

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 94/88, 225/12, 403/539

1. What is the HCF of 94,225,403?

The HCF of 94,225,403 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 94/88, 225/12, 403/539?

Answer: GCF of Numerators as per given numbers 94/88, 225/12, 403/539 is

GCF of Numerators i.e. for 94,225,403 is 1

LCM of denominators i.e. for 88,12,539 is 12936.

Thus, GCF of Fractions is 1/12936.Finally, GCF of Fractions for 94/88, 225/12, 403/539 is 1/12936.