How to Find GCF of 49/91, 978/96, 318/146?

GCF of 49/91, 978/96, 318/146

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 49/91, 978/96, 318/146 i.e 1/637728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/91, 978/96, 318/146.

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 49/91,978/96,318/146?

Given fractions are 49/91,978/96,318/146

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 49/91,978/96,318/146, numerators are 49,978,318

Denominators are 91,96,146

The GCF of 49,978,318 is 1 .

LCM of 91,96,146 is 637728.

The greatest common factor of 49/91,978/96,318/146 = [GCF of 49,978,318]/[LCM of 91,96,146]= 1/637728

Therefore, the GCF of 49/91,978/96,318/146 is 1/637728.

Greatest Common Factor of 49,978,318

To find the highest common factor of 49,978,318, we have to find the factors of both numbers and list the highest common factor.

The factors of 49 are 1, 7, 49

The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318

The HCF of 49,978,318 is 1.

Lets's calculate GCF of 49,978,318

Greatest Common Factor (GCF) of 49,978,318 By Common Division

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

Greatest Common Factor of 49,978,318 By Matching Biggest Common Factor Method

Now, list down the factors of 49

1,7,49

Now, list down the factors of 978

1,2,3,6,163,326,489,978

Now, list down the factors of 318

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 49,978,318 . The biggest common factor number is the GCF number.
So the greatest common factor 49,978,318 is 1.

Lets's calculate LCM of 91,96,146

Lowest Common Multiple of 91,96,146 using Common Division

2	91, 96, 146
	91, 48, 73

∴ So the LCM of the given numbers is 2 x 91 x 48 x 73 = 637728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637728

Therefore, the GCF of Fractions 49/91,978/96,318/146 is 1/637728

Least Common Multiple of 91,96,146 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 91,96,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,96,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(91,96,146) x common factors =1 x 2 = 2

LCM(91,96,146) = ( 91 × 96 × 146 ) / 2

LCM(91,96,146) = 1275456 / 2

LCM(91,96,146) = 637728

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FAQs on GCF of Fractions of 49/91, 978/96, 318/146

1. What is the HCF of 49,978,318?

The HCF of 49,978,318 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 49/91, 978/96, 318/146?

Answer: GCF of Numerators as per given numbers 49/91, 978/96, 318/146 is

GCF of Numerators i.e. for 49,978,318 is 1

LCM of denominators i.e. for 91,96,146 is 637728.

Thus, GCF of Fractions is 1/637728.Finally, GCF of Fractions for 49/91, 978/96, 318/146 is 1/637728.