Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1127/85,1978/929
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 1127,1978
Greatest Common Factor of Numerators i.e. GCF of 1127,1978 is 23 .
LCM of Denominators means LCM of 85,929 as per the given fractions.
LCM of 85,929 is 78965 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1127,1978
23 | 1127, 1978 |
49, 86 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 1127
List of positive integer factors of 1127 that divides 1127 without a remainder.
1,7,23,49,161,1127
Factors of 1978
List of positive integer factors of 1978 that divides 1978 without a remainder.
1,2,23,43,46,86,989,1978
Greatest Common Factor
We found the factors 1127,1978 . The biggest common factor number is the GCF number.
So the greatest common factor 1127,1978 is 23.
Lets's calculate LCM of 85,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 78965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/78965
Therefore, the GCF of Fractions 1127/85,1978/929 is 23/78965
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 85,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,929) x common factors =1 x 1 = 1
LCM(85,929) = ( 85 × 929 ) / 1
LCM(85,929) = 78965 / 1
LCM(85,929) = 78965
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 1127/85, 1978/929?
Answer: GCF of Numerators as per given numbers 1127/85, 1978/929 is
GCF of Numerators i.e. for 1127,1978 is 23
LCM of denominators i.e. for 85,929 is 78965.
Thus, GCF of Fractions is 23/78965.Finally, GCF of Fractions for 1127/85, 1978/929 is 23/78965.