Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 992/878,1294/169
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 992,1294
Greatest Common Factor of Numerators i.e. GCF of 992,1294 is 2 .
LCM of Denominators means LCM of 878,169 as per the given fractions.
LCM of 878,169 is 148382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 992,1294
2 | 992, 1294 |
496, 647 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 1294
List of positive integer factors of 1294 that divides 1294 without a remainder.
1,2,647,1294
Greatest Common Factor
We found the factors 992,1294 . The biggest common factor number is the GCF number.
So the greatest common factor 992,1294 is 2.
Lets's calculate LCM of 878,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 148382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148382
Therefore, the GCF of Fractions 992/878,1294/169 is 2/148382
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 878,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(878,169) x common factors =1 x 1 = 1
LCM(878,169) = ( 878 × 169 ) / 1
LCM(878,169) = 148382 / 1
LCM(878,169) = 148382
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 992/878, 1294/169?
Answer: GCF of Numerators as per given numbers 992/878, 1294/169 is
GCF of Numerators i.e. for 992,1294 is 2
LCM of denominators i.e. for 878,169 is 148382.
Thus, GCF of Fractions is 2/148382.Finally, GCF of Fractions for 992/878, 1294/169 is 2/148382.