How to Find GCF of 92/31, 15/95, 502/240?

GCF of 92/31, 15/95, 502/240

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 92/31, 15/95, 502/240 i.e 1/141360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/31, 15/95, 502/240.

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 92/31,15/95,502/240?

Given fractions are 92/31,15/95,502/240

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 92/31,15/95,502/240, numerators are 92,15,502

Denominators are 31,95,240

The GCF of 92,15,502 is 1 .

LCM of 31,95,240 is 141360.

The greatest common factor of 92/31,15/95,502/240 = [GCF of 92,15,502]/[LCM of 31,95,240]= 1/141360

Therefore, the GCF of 92/31,15/95,502/240 is 1/141360.

Greatest Common Factor of 92,15,502

To find the highest common factor of 92,15,502, 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 15 are 1, 3, 5, 15

The factors of 502 are 1, 2, 251, 502

The HCF of 92,15,502 is 1.

Lets's calculate GCF of 92,15,502

Greatest Common Factor (GCF) of 92,15,502 By Common Division

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

Greatest Common Factor of 92,15,502 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 15

1,3,5,15

Now, list down the factors of 502

1,2,251,502

Greatest Common Factor

We found the factors 92,15,502 . The biggest common factor number is the GCF number.
So the greatest common factor 92,15,502 is 1.

Lets's calculate LCM of 31,95,240

Lowest Common Multiple of 31,95,240 using Common Division

5	31, 95, 240
	31, 19, 48

∴ So the LCM of the given numbers is 5 x 31 x 19 x 48 = 141360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141360

Therefore, the GCF of Fractions 92/31,15/95,502/240 is 1/141360

Least Common Multiple of 31,95,240 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 31,95,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,95,240) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(31,95,240) x common factors =1 x 5 = 5

LCM(31,95,240) = ( 31 × 95 × 240 ) / 5

LCM(31,95,240) = 706800 / 5

LCM(31,95,240) = 141360

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 92/31, 15/95, 502/240

1. What is the HCF of 92,15,502?

The HCF of 92,15,502 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 92/31, 15/95, 502/240?

Answer: GCF of Numerators as per given numbers 92/31, 15/95, 502/240 is

GCF of Numerators i.e. for 92,15,502 is 1

LCM of denominators i.e. for 31,95,240 is 141360.

Thus, GCF of Fractions is 1/141360.Finally, GCF of Fractions for 92/31, 15/95, 502/240 is 1/141360.