How to Find GCF of 8752/504, 3181/296?

GCF of 8752/504, 3181/296

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 8752/504, 3181/296 i.e 1/18648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8752/504, 3181/296.

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 8752/504,3181/296?

Given fractions are 8752/504,3181/296

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 8752/504,3181/296, numerators are 8752,3181

Denominators are 504,296

The GCF of 8752,3181 is 1 .

LCM of 504,296 is 18648.

The greatest common factor of 8752/504,3181/296 = [GCF of 8752,3181]/[LCM of 504,296]= 1/18648

Therefore, the GCF of 8752/504,3181/296 is 1/18648.

Greatest Common Factor of 8752,3181

To find the highest common factor of 8752,3181, we have to find the factors of both numbers and list the highest common factor.

The factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752

The factors of 3181 are 1, 3181

The HCF of 8752,3181 is 1.

Lets's calculate GCF of 8752,3181

Greatest Common Factor (GCF) of 8752,3181 By Common Division

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

Greatest Common Factor of 8752,3181 By Matching Biggest Common Factor Method

Now, list down the factors of 8752

1,2,4,8,16,547,1094,2188,4376,8752

Now, list down the factors of 3181

1,3181

Greatest Common Factor

We found the factors 8752,3181 . The biggest common factor number is the GCF number.
So the greatest common factor 8752,3181 is 1.

Lets's calculate LCM of 504,296

Lowest Common Multiple of 504,296 using Common Division

2	504, 296
2	252, 148
2	126, 74
	63, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 37 = 18648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18648

Therefore, the GCF of Fractions 8752/504,3181/296 is 1/18648

Least Common Multiple of 504,296 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 504,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,296) = 8

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

GCF(504,296) x common factors =8 x 1 = 8

LCM(504,296) = ( 504 × 296 ) / 8

LCM(504,296) = 149184 / 8

LCM(504,296) = 18648

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FAQs on GCF of Fractions of 8752/504, 3181/296

1. What is the HCF of 8752,3181?

The HCF of 8752,3181 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 8752/504, 3181/296?

Answer: GCF of Numerators as per given numbers 8752/504, 3181/296 is

GCF of Numerators i.e. for 8752,3181 is 1

LCM of denominators i.e. for 504,296 is 18648.

Thus, GCF of Fractions is 1/18648.Finally, GCF of Fractions for 8752/504, 3181/296 is 1/18648.