Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/99,39/90,58/74,884/64
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 98,39,58,884
Greatest Common Factor of Numerators i.e. GCF of 98,39,58,884 is 1 .
LCM of Denominators means LCM of 99,90,74,64 as per the given fractions.
LCM of 99,90,74,64 is 1172160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,39,58,884
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 98,39,58,884 . The biggest common factor number is the GCF number.
So the greatest common factor 98,39,58,884 is 1.
Lets's calculate LCM of 99,90,74,64
2 | 99, 90, 74, 64 |
3 | 99, 45, 37, 32 |
3 | 33, 15, 37, 32 |
11, 5, 37, 32 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 5 x 37 x 32 = 1172160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1172160
Therefore, the GCF of Fractions 98/99,39/90,58/74,884/64 is 1/1172160
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 99,90,74,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,90,74,64) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(99,90,74,64) x common factors =1 x 36 = 36
LCM(99,90,74,64) = ( 99 × 90 × 74 × 64 ) / 36
LCM(99,90,74,64) = 42197760 / 36
LCM(99,90,74,64) = 1172160
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 98/99, 39/90, 58/74, 884/64?
Answer: GCF of Numerators as per given numbers 98/99, 39/90, 58/74, 884/64 is
GCF of Numerators i.e. for 98,39,58,884 is 1
LCM of denominators i.e. for 99,90,74,64 is 1172160.
Thus, GCF of Fractions is 1/1172160.Finally, GCF of Fractions for 98/99, 39/90, 58/74, 884/64 is 1/1172160.