Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 883/685,304/336,507/836
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 883,304,507
Greatest Common Factor of Numerators i.e. GCF of 883,304,507 is 1 .
LCM of Denominators means LCM of 685,336,836 as per the given fractions.
LCM of 685,336,836 is 48103440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 883,304,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 883,304,507 . The biggest common factor number is the GCF number.
So the greatest common factor 883,304,507 is 1.
Lets's calculate LCM of 685,336,836
2 | 685, 336, 836 |
2 | 685, 168, 418 |
685, 84, 209 |
∴ So the LCM of the given numbers is 2 x 2 x 685 x 84 x 209 = 48103440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48103440
Therefore, the GCF of Fractions 883/685,304/336,507/836 is 1/48103440
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 685,336,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,336,836) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(685,336,836) x common factors =1 x 4 = 4
LCM(685,336,836) = ( 685 × 336 × 836 ) / 4
LCM(685,336,836) = 192413760 / 4
LCM(685,336,836) = 48103440
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 883/685, 304/336, 507/836?
Answer: GCF of Numerators as per given numbers 883/685, 304/336, 507/836 is
GCF of Numerators i.e. for 883,304,507 is 1
LCM of denominators i.e. for 685,336,836 is 48103440.
Thus, GCF of Fractions is 1/48103440.Finally, GCF of Fractions for 883/685, 304/336, 507/836 is 1/48103440.