Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 982/255,980/438
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 982,980
Greatest Common Factor of Numerators i.e. GCF of 982,980 is 2 .
LCM of Denominators means LCM of 255,438 as per the given fractions.
LCM of 255,438 is 37230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 982,980
2 | 982, 980 |
491, 490 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 982,980 . The biggest common factor number is the GCF number.
So the greatest common factor 982,980 is 2.
Lets's calculate LCM of 255,438
3 | 255, 438 |
85, 146 |
∴ So the LCM of the given numbers is 3 x 85 x 146 = 37230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37230
Therefore, the GCF of Fractions 982/255,980/438 is 2/37230
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 255,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,438) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(255,438) x common factors =3 x 1 = 3
LCM(255,438) = ( 255 × 438 ) / 3
LCM(255,438) = 111690 / 3
LCM(255,438) = 37230
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 982/255, 980/438?
Answer: GCF of Numerators as per given numbers 982/255, 980/438 is
GCF of Numerators i.e. for 982,980 is 2
LCM of denominators i.e. for 255,438 is 37230.
Thus, GCF of Fractions is 2/37230.Finally, GCF of Fractions for 982/255, 980/438 is 2/37230.