How to Find GCF of 480/40, 937/68, 357/13?

GCF of 480/40, 937/68, 357/13

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 480/40, 937/68, 357/13 i.e 1/8840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 480/40, 937/68, 357/13.

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 480/40,937/68,357/13?

Given fractions are 480/40,937/68,357/13

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 480/40,937/68,357/13, numerators are 480,937,357

Denominators are 40,68,13

The GCF of 480,937,357 is 1 .

LCM of 40,68,13 is 8840.

The greatest common factor of 480/40,937/68,357/13 = [GCF of 480,937,357]/[LCM of 40,68,13]= 1/8840

Therefore, the GCF of 480/40,937/68,357/13 is 1/8840.

Greatest Common Factor of 480,937,357

To find the highest common factor of 480,937,357, we have to find the factors of both numbers and list the highest common factor.

The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

The factors of 937 are 1, 937

The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357

The HCF of 480,937,357 is 1.

Lets's calculate GCF of 480,937,357

Greatest Common Factor (GCF) of 480,937,357 By Common Division

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

Greatest Common Factor of 480,937,357 By Matching Biggest Common Factor Method

Now, list down the factors of 480

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Now, list down the factors of 937

1,937

Now, list down the factors of 357

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 480,937,357 . The biggest common factor number is the GCF number.
So the greatest common factor 480,937,357 is 1.

Lets's calculate LCM of 40,68,13

Lowest Common Multiple of 40,68,13 using Common Division

2	40, 68, 13
2	20, 34, 13
	10, 17, 13

∴ So the LCM of the given numbers is 2 x 2 x 10 x 17 x 13 = 8840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8840

Therefore, the GCF of Fractions 480/40,937/68,357/13 is 1/8840

Least Common Multiple of 40,68,13 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 40,68,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,68,13) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(40,68,13) x common factors =1 x 4 = 4

LCM(40,68,13) = ( 40 × 68 × 13 ) / 4

LCM(40,68,13) = 35360 / 4

LCM(40,68,13) = 8840

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FAQs on GCF of Fractions of 480/40, 937/68, 357/13

1. What is the HCF of 480,937,357?

The HCF of 480,937,357 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 480/40, 937/68, 357/13?

Answer: GCF of Numerators as per given numbers 480/40, 937/68, 357/13 is

GCF of Numerators i.e. for 480,937,357 is 1

LCM of denominators i.e. for 40,68,13 is 8840.

Thus, GCF of Fractions is 1/8840.Finally, GCF of Fractions for 480/40, 937/68, 357/13 is 1/8840.