Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1988/793,1114/980
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 1988,1114
Greatest Common Factor of Numerators i.e. GCF of 1988,1114 is 2 .
LCM of Denominators means LCM of 793,980 as per the given fractions.
LCM of 793,980 is 777140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1988,1114
2 | 1988, 1114 |
994, 557 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1988
List of positive integer factors of 1988 that divides 1988 without a remainder.
1,2,4,7,14,28,71,142,284,497,994,1988
Factors of 1114
List of positive integer factors of 1114 that divides 1114 without a remainder.
1,2,557,1114
Greatest Common Factor
We found the factors 1988,1114 . The biggest common factor number is the GCF number.
So the greatest common factor 1988,1114 is 2.
Lets's calculate LCM of 793,980
Given numbers has no common factors except 1. So, there LCM is their product i.e 777140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/777140
Therefore, the GCF of Fractions 1988/793,1114/980 is 2/777140
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 793,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,980) x common factors =1 x 1 = 1
LCM(793,980) = ( 793 × 980 ) / 1
LCM(793,980) = 777140 / 1
LCM(793,980) = 777140
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 1988/793, 1114/980?
Answer: GCF of Numerators as per given numbers 1988/793, 1114/980 is
GCF of Numerators i.e. for 1988,1114 is 2
LCM of denominators i.e. for 793,980 is 777140.
Thus, GCF of Fractions is 2/777140.Finally, GCF of Fractions for 1988/793, 1114/980 is 2/777140.