Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 196/946,760/736,255/978
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 196,760,255
Greatest Common Factor of Numerators i.e. GCF of 196,760,255 is 1 .
LCM of Denominators means LCM of 946,736,978 as per the given fractions.
LCM of 946,736,978 is 170234592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 196,760,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 196,760,255 . The biggest common factor number is the GCF number.
So the greatest common factor 196,760,255 is 1.
Lets's calculate LCM of 946,736,978
2 | 946, 736, 978 |
473, 368, 489 |
∴ So the LCM of the given numbers is 2 x 473 x 368 x 489 = 170234592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170234592
Therefore, the GCF of Fractions 196/946,760/736,255/978 is 1/170234592
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 946,736,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,736,978) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(946,736,978) x common factors =2 x 2 = 4
LCM(946,736,978) = ( 946 × 736 × 978 ) / 4
LCM(946,736,978) = 680938368 / 4
LCM(946,736,978) = 170234592
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 196/946, 760/736, 255/978?
Answer: GCF of Numerators as per given numbers 196/946, 760/736, 255/978 is
GCF of Numerators i.e. for 196,760,255 is 1
LCM of denominators i.e. for 946,736,978 is 170234592.
Thus, GCF of Fractions is 1/170234592.Finally, GCF of Fractions for 196/946, 760/736, 255/978 is 1/170234592.