Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 938/562,282/788,248/537
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 938,282,248
Greatest Common Factor of Numerators i.e. GCF of 938,282,248 is 2 .
LCM of Denominators means LCM of 562,788,537 as per the given fractions.
LCM of 562,788,537 is 118906836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 938,282,248
2 | 938, 282, 248 |
469, 141, 124 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 938,282,248 . The biggest common factor number is the GCF number.
So the greatest common factor 938,282,248 is 2.
Lets's calculate LCM of 562,788,537
2 | 562, 788, 537 |
281, 394, 537 |
∴ So the LCM of the given numbers is 2 x 281 x 394 x 537 = 118906836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118906836
Therefore, the GCF of Fractions 938/562,282/788,248/537 is 2/118906836
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 562,788,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,788,537) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(562,788,537) x common factors =1 x 2 = 2
LCM(562,788,537) = ( 562 × 788 × 537 ) / 2
LCM(562,788,537) = 237813672 / 2
LCM(562,788,537) = 118906836
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 938/562, 282/788, 248/537?
Answer: GCF of Numerators as per given numbers 938/562, 282/788, 248/537 is
GCF of Numerators i.e. for 938,282,248 is 2
LCM of denominators i.e. for 562,788,537 is 118906836.
Thus, GCF of Fractions is 2/118906836.Finally, GCF of Fractions for 938/562, 282/788, 248/537 is 2/118906836.