How to Find GCF of 40/931, 5900/2660?

GCF of 40/931, 5900/2660

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 40/931, 5900/2660 i.e 20/18620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/931, 5900/2660.

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 40/931,5900/2660?

Given fractions are 40/931,5900/2660

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 40/931,5900/2660, numerators are 40,5900

Denominators are 931,2660

The GCF of 40,5900 is 20 .

LCM of 931,2660 is 18620.

The greatest common factor of 40/931,5900/2660 = [GCF of 40,5900]/[LCM of 931,2660]= 20/18620

Therefore, the GCF of 40/931,5900/2660 is 20/18620.

Greatest Common Factor of 40,5900

To find the highest common factor of 40,5900, 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 5900 are 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900

The HCF of 40,5900 is 20.

Lets's calculate GCF of 40,5900

Greatest Common Factor (GCF) of 40,5900 By Common Division

2	40, 5900
2	20, 2950
5	10, 1475
	2, 295

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 40,5900 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 5900

1,2,4,5,10,20,25,50,59,100,118,236,295,590,1180,1475,2950,5900

Greatest Common Factor

We found the factors 40,5900 . The biggest common factor number is the GCF number.
So the greatest common factor 40,5900 is 20.

Lets's calculate LCM of 931,2660

Lowest Common Multiple of 931,2660 using Common Division

7	931, 2660
19	133, 380
	7, 20

∴ So the LCM of the given numbers is 7 x 19 x 7 x 20 = 18620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/18620

Therefore, the GCF of Fractions 40/931,5900/2660 is 20/18620

Least Common Multiple of 931,2660 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 931,2660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,2660) = 133

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

GCF(931,2660) x common factors =133 x 1 = 133

LCM(931,2660) = ( 931 × 2660 ) / 133

LCM(931,2660) = 2476460 / 133

LCM(931,2660) = 18620

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 40/931, 5900/2660

1. What is the HCF of 40,5900?

The HCF of 40,5900 is 20

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 40/931, 5900/2660?

Answer: GCF of Numerators as per given numbers 40/931, 5900/2660 is

GCF of Numerators i.e. for 40,5900 is 20

LCM of denominators i.e. for 931,2660 is 18620.

Thus, GCF of Fractions is 20/18620.Finally, GCF of Fractions for 40/931, 5900/2660 is 20/18620.