Greatest Common Factor of 34/978, 316/818, 650/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/978, 316/818, 650/304

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 34/978,316/818,650/304

Given fractions are 34/978,316/818,650/304

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 34,316,650

Greatest Common Factor of Numerators i.e. GCF of 34,316,650 is 2 .

LCM of Denominators means LCM of 978,818,304 as per the given fractions.

LCM of 978,818,304 is 60800304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,316,650

GCF of Fractions 34/978,316/818,650/304 is 2/60800304

2 34, 316, 650
17, 158, 325

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

Greatest Common Factor of 34,316,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,316,650 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 34,316,650 . The biggest common factor number is the GCF number.
So the greatest common factor 34,316,650 is 2.

Lets's calculate LCM of 978,818,304

2 978, 818, 304
489, 409, 152

∴ So the LCM of the given numbers is 2 x 489 x 409 x 152 = 60800304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60800304

Therefore, the GCF of Fractions 34/978,316/818,650/304 is 2/60800304

Least Common Multiple of 978,818,304 with GCF Formula

Least Common Multiple of 978,818,304 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 978,818,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,818,304) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(978,818,304) x common factors =2 x 2 = 4

LCM(978,818,304) = ( 978 × 818 × 304 ) / 4

LCM(978,818,304) = 243201216 / 4

LCM(978,818,304) = 60800304


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 34/978, 316/818, 650/304

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 34/978, 316/818, 650/304?

Answer: GCF of Numerators as per given numbers 34/978, 316/818, 650/304 is

GCF of Numerators i.e. for 34,316,650 is 2

LCM of denominators i.e. for 978,818,304 is 60800304.

Thus, GCF of Fractions is 2/60800304.Finally, GCF of Fractions for 34/978, 316/818, 650/304 is 2/60800304.