How to Find GCF of 928/278, 348/296?

GCF of 928/278, 348/296

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 928/278, 348/296 i.e 116/41144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/278, 348/296.

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 928/278,348/296?

Given fractions are 928/278,348/296

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 928/278,348/296, numerators are 928,348

Denominators are 278,296

The GCF of 928,348 is 116 .

LCM of 278,296 is 41144.

The greatest common factor of 928/278,348/296 = [GCF of 928,348]/[LCM of 278,296]= 116/41144

Therefore, the GCF of 928/278,348/296 is 116/41144.

Greatest Common Factor of 928,348

To find the highest common factor of 928,348, we have to find the factors of both numbers and list the highest common factor.

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

The HCF of 928,348 is 116.

Lets's calculate GCF of 928,348

Greatest Common Factor (GCF) of 928,348 By Common Division

2	928, 348
2	464, 174
29	232, 87
	8, 3

∴ So the GCF of the given numbers is 2 x 2 x 29 = 116

Greatest Common Factor of 928,348 By Matching Biggest Common Factor Method

Now, list down the factors of 928

1,2,4,8,16,29,32,58,116,232,464,928

Now, list down the factors of 348

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 928,348 . The biggest common factor number is the GCF number.
So the greatest common factor 928,348 is 116.

Lets's calculate LCM of 278,296

Lowest Common Multiple of 278,296 using Common Division

2	278, 296
	139, 148

∴ So the LCM of the given numbers is 2 x 139 x 148 = 41144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/41144

Therefore, the GCF of Fractions 928/278,348/296 is 116/41144

Least Common Multiple of 278,296 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 278,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,296) = 2

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

GCF(278,296) x common factors =2 x 1 = 2

LCM(278,296) = ( 278 × 296 ) / 2

LCM(278,296) = 82288 / 2

LCM(278,296) = 41144

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FAQs on GCF of Fractions of 928/278, 348/296

1. What is the HCF of 928,348?

The HCF of 928,348 is 116

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 928/278, 348/296?

Answer: GCF of Numerators as per given numbers 928/278, 348/296 is

GCF of Numerators i.e. for 928,348 is 116

LCM of denominators i.e. for 278,296 is 41144.

Thus, GCF of Fractions is 116/41144.Finally, GCF of Fractions for 928/278, 348/296 is 116/41144.