How to Find GCF of 40/262, 62/582, 310/944?

GCF of 40/262, 62/582, 310/944

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 40/262, 62/582, 310/944 i.e 2/35986224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/262, 62/582, 310/944.

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 40/262,62/582,310/944?

Given fractions are 40/262,62/582,310/944

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 40/262,62/582,310/944, numerators are 40,62,310

Denominators are 262,582,944

The GCF of 40,62,310 is 2 .

LCM of 262,582,944 is 35986224.

The greatest common factor of 40/262,62/582,310/944 = [GCF of 40,62,310]/[LCM of 262,582,944]= 2/35986224

Therefore, the GCF of 40/262,62/582,310/944 is 2/35986224.

Greatest Common Factor of 40,62,310

To find the highest common factor of 40,62,310, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 62 are 1, 2, 31, 62

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The HCF of 40,62,310 is 2.

Lets's calculate GCF of 40,62,310

Greatest Common Factor (GCF) of 40,62,310 By Common Division

2	40, 62, 310
	20, 31, 155

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

Greatest Common Factor of 40,62,310 By Matching Biggest Common Factor Method

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 62

1,2,31,62

Now, list down the factors of 310

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 40,62,310 . The biggest common factor number is the GCF number.
So the greatest common factor 40,62,310 is 2.

Lets's calculate LCM of 262,582,944

Lowest Common Multiple of 262,582,944 using Common Division

2	262, 582, 944
	131, 291, 472

∴ So the LCM of the given numbers is 2 x 131 x 291 x 472 = 35986224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35986224

Therefore, the GCF of Fractions 40/262,62/582,310/944 is 2/35986224

Least Common Multiple of 262,582,944 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 262,582,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,582,944) = 2

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

GCF(262,582,944) x common factors =2 x 2 = 4

LCM(262,582,944) = ( 262 × 582 × 944 ) / 4

LCM(262,582,944) = 143944896 / 4

LCM(262,582,944) = 35986224

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 40/262, 62/582, 310/944

1. What is the HCF of 40,62,310?

The HCF of 40,62,310 is 2

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 40/262, 62/582, 310/944?

Answer: GCF of Numerators as per given numbers 40/262, 62/582, 310/944 is

GCF of Numerators i.e. for 40,62,310 is 2

LCM of denominators i.e. for 262,582,944 is 35986224.

Thus, GCF of Fractions is 2/35986224.Finally, GCF of Fractions for 40/262, 62/582, 310/944 is 2/35986224.