How to Find GCF of 933/828, 540/938?

GCF of 933/828, 540/938

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 933/828, 540/938 i.e 3/388332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 933/828, 540/938.

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 933/828,540/938?

Given fractions are 933/828,540/938

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 933/828,540/938, numerators are 933,540

Denominators are 828,938

The GCF of 933,540 is 3 .

LCM of 828,938 is 388332.

The greatest common factor of 933/828,540/938 = [GCF of 933,540]/[LCM of 828,938]= 3/388332

Therefore, the GCF of 933/828,540/938 is 3/388332.

Greatest Common Factor of 933,540

To find the highest common factor of 933,540, we have to find the factors of both numbers and list the highest common factor.

The factors of 933 are 1, 3, 311, 933

The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

The HCF of 933,540 is 3.

Lets's calculate GCF of 933,540

Greatest Common Factor (GCF) of 933,540 By Common Division

3	933, 540
	311, 180

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 933,540 By Matching Biggest Common Factor Method

Now, list down the factors of 933

1,3,311,933

Now, list down the factors of 540

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 933,540 . The biggest common factor number is the GCF number.
So the greatest common factor 933,540 is 3.

Lets's calculate LCM of 828,938

Lowest Common Multiple of 828,938 using Common Division

2	828, 938
	414, 469

∴ So the LCM of the given numbers is 2 x 414 x 469 = 388332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/388332

Therefore, the GCF of Fractions 933/828,540/938 is 3/388332

Least Common Multiple of 828,938 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 828,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,938) = 2

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

GCF(828,938) x common factors =2 x 1 = 2

LCM(828,938) = ( 828 × 938 ) / 2

LCM(828,938) = 776664 / 2

LCM(828,938) = 388332

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 933/828, 540/938

1. What is the HCF of 933,540?

The HCF of 933,540 is 3

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 933/828, 540/938?

Answer: GCF of Numerators as per given numbers 933/828, 540/938 is

GCF of Numerators i.e. for 933,540 is 3

LCM of denominators i.e. for 828,938 is 388332.

Thus, GCF of Fractions is 3/388332.Finally, GCF of Fractions for 933/828, 540/938 is 3/388332.