How to Find GCF of 240/91, 656/146?

GCF of 240/91, 656/146

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 240/91, 656/146 i.e 16/13286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 240/91, 656/146.

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 240/91,656/146?

Given fractions are 240/91,656/146

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 240/91,656/146, numerators are 240,656

Denominators are 91,146

The GCF of 240,656 is 16 .

LCM of 91,146 is 13286.

The greatest common factor of 240/91,656/146 = [GCF of 240,656]/[LCM of 91,146]= 16/13286

Therefore, the GCF of 240/91,656/146 is 16/13286.

Greatest Common Factor of 240,656

To find the highest common factor of 240,656, we have to find the factors of both numbers and list the highest common factor.

The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

The HCF of 240,656 is 16.

Lets's calculate GCF of 240,656

Greatest Common Factor (GCF) of 240,656 By Common Division

2	240, 656
2	120, 328
2	60, 164
2	30, 82
	15, 41

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 240,656 By Matching Biggest Common Factor Method

Now, list down the factors of 240

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Now, list down the factors of 656

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 240,656 . The biggest common factor number is the GCF number.
So the greatest common factor 240,656 is 16.

Lets's calculate LCM of 91,146

Lowest Common Multiple of 91,146 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 13286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/13286

Therefore, the GCF of Fractions 240/91,656/146 is 16/13286

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

GCF(91,146) = 1

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

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

LCM(91,146) = ( 91 × 146 ) / 1

LCM(91,146) = 13286 / 1

LCM(91,146) = 13286

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FAQs on GCF of Fractions of 240/91, 656/146

1. What is the HCF of 240,656?

The HCF of 240,656 is 16

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 240/91, 656/146?

Answer: GCF of Numerators as per given numbers 240/91, 656/146 is

GCF of Numerators i.e. for 240,656 is 16

LCM of denominators i.e. for 91,146 is 13286.

Thus, GCF of Fractions is 16/13286.Finally, GCF of Fractions for 240/91, 656/146 is 16/13286.