Greatest Common Factor of 416/42, 480/4956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 416/42, 480/4956

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 416/42,480/4956

Given fractions are 416/42,480/4956

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 416,480

Greatest Common Factor of Numerators i.e. GCF of 416,480 is 32 .

LCM of Denominators means LCM of 42,4956 as per the given fractions.

LCM of 42,4956 is 4956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 416,480

GCF of Fractions 416/42,480/4956 is 32/4956

2 416, 480
2 208, 240
2 104, 120
2 52, 60
2 26, 30
13, 15

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 416,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,480 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

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

Greatest Common Factor

We found the factors 416,480 . The biggest common factor number is the GCF number.
So the greatest common factor 416,480 is 32.

Lets's calculate LCM of 42,4956

2 42, 4956
3 21, 2478
7 7, 826
1, 118

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 118 = 4956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/4956

Therefore, the GCF of Fractions 416/42,480/4956 is 32/4956

Least Common Multiple of 42,4956 with GCF Formula

Least Common Multiple of 42,4956 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 42,4956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,4956) = 42

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

GCF(42,4956) x common factors =42 x 1 = 42

LCM(42,4956) = ( 42 × 4956 ) / 42

LCM(42,4956) = 208152 / 42

LCM(42,4956) = 4956


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 416/42, 480/4956

1. 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.

2. What is the GCF of Fractions for 416/42, 480/4956?

Answer: GCF of Numerators as per given numbers 416/42, 480/4956 is

GCF of Numerators i.e. for 416,480 is 32

LCM of denominators i.e. for 42,4956 is 4956.

Thus, GCF of Fractions is 32/4956.Finally, GCF of Fractions for 416/42, 480/4956 is 32/4956.