Greatest Common Factor of 946/16, 878/35, 782/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 946/16, 878/35, 782/333

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 946/16,878/35,782/333

Given fractions are 946/16,878/35,782/333

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 946,878,782

Greatest Common Factor of Numerators i.e. GCF of 946,878,782 is 2 .

LCM of Denominators means LCM of 16,35,333 as per the given fractions.

LCM of 16,35,333 is 186480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 946,878,782

GCF of Fractions 946/16,878/35,782/333 is 2/186480

2 946, 878, 782
473, 439, 391

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

Greatest Common Factor of 946,878,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,878,782 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 946,878,782 . The biggest common factor number is the GCF number.
So the greatest common factor 946,878,782 is 2.

Lets's calculate LCM of 16,35,333

Given numbers has no common factors except 1. So, there LCM is their product i.e 186480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/186480

Therefore, the GCF of Fractions 946/16,878/35,782/333 is 2/186480

Least Common Multiple of 16,35,333 with GCF Formula

Least Common Multiple of 16,35,333 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 16,35,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,35,333) = 1

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

GCF(16,35,333) x common factors =1 x 1 = 1

LCM(16,35,333) = ( 16 × 35 × 333 ) / 1

LCM(16,35,333) = 186480 / 1

LCM(16,35,333) = 186480


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 946/16, 878/35, 782/333

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 946/16, 878/35, 782/333?

Answer: GCF of Numerators as per given numbers 946/16, 878/35, 782/333 is

GCF of Numerators i.e. for 946,878,782 is 2

LCM of denominators i.e. for 16,35,333 is 186480.

Thus, GCF of Fractions is 2/186480.Finally, GCF of Fractions for 946/16, 878/35, 782/333 is 2/186480.