Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 627/94,903/38,292/952
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 627,903,292
Greatest Common Factor of Numerators i.e. GCF of 627,903,292 is 1 .
LCM of Denominators means LCM of 94,38,952 as per the given fractions.
LCM of 94,38,952 is 850136 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 627,903,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 627,903,292 . The biggest common factor number is the GCF number.
So the greatest common factor 627,903,292 is 1.
Lets's calculate LCM of 94,38,952
2 | 94, 38, 952 |
47, 19, 476 |
∴ So the LCM of the given numbers is 2 x 47 x 19 x 476 = 850136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/850136
Therefore, the GCF of Fractions 627/94,903/38,292/952 is 1/850136
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 94,38,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,38,952) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(94,38,952) x common factors =2 x 2 = 4
LCM(94,38,952) = ( 94 × 38 × 952 ) / 4
LCM(94,38,952) = 3400544 / 4
LCM(94,38,952) = 850136
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 627/94, 903/38, 292/952?
Answer: GCF of Numerators as per given numbers 627/94, 903/38, 292/952 is
GCF of Numerators i.e. for 627,903,292 is 1
LCM of denominators i.e. for 94,38,952 is 850136.
Thus, GCF of Fractions is 1/850136.Finally, GCF of Fractions for 627/94, 903/38, 292/952 is 1/850136.