How to Find GCF of 744/925, 328/118?

GCF of 744/925, 328/118

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 744/925, 328/118 i.e 8/109150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 744/925, 328/118.

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 744/925,328/118?

Given fractions are 744/925,328/118

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 744/925,328/118, numerators are 744,328

Denominators are 925,118

The GCF of 744,328 is 8 .

LCM of 925,118 is 109150.

The greatest common factor of 744/925,328/118 = [GCF of 744,328]/[LCM of 925,118]= 8/109150

Therefore, the GCF of 744/925,328/118 is 8/109150.

Greatest Common Factor of 744,328

To find the highest common factor of 744,328, we have to find the factors of both numbers and list the highest common factor.

The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328

The HCF of 744,328 is 8.

Lets's calculate GCF of 744,328

Greatest Common Factor (GCF) of 744,328 By Common Division

2	744, 328
2	372, 164
2	186, 82
	93, 41

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 744,328 By Matching Biggest Common Factor Method

Now, list down the factors of 744

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Now, list down the factors of 328

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 744,328 . The biggest common factor number is the GCF number.
So the greatest common factor 744,328 is 8.

Lets's calculate LCM of 925,118

Lowest Common Multiple of 925,118 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 109150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/109150

Therefore, the GCF of Fractions 744/925,328/118 is 8/109150

Least Common Multiple of 925,118 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 925,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,118) = 1

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

GCF(925,118) x common factors =1 x 1 = 1

LCM(925,118) = ( 925 × 118 ) / 1

LCM(925,118) = 109150 / 1

LCM(925,118) = 109150

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FAQs on GCF of Fractions of 744/925, 328/118

1. What is the HCF of 744,328?

The HCF of 744,328 is 8

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 744/925, 328/118?

Answer: GCF of Numerators as per given numbers 744/925, 328/118 is

GCF of Numerators i.e. for 744,328 is 8

LCM of denominators i.e. for 925,118 is 109150.

Thus, GCF of Fractions is 8/109150.Finally, GCF of Fractions for 744/925, 328/118 is 8/109150.