Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 979/791,1320/970
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 979,1320
Greatest Common Factor of Numerators i.e. GCF of 979,1320 is 11 .
LCM of Denominators means LCM of 791,970 as per the given fractions.
LCM of 791,970 is 767270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 979,1320
11 | 979, 1320 |
89, 120 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 1320
List of positive integer factors of 1320 that divides 1320 without a remainder.
1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320
Greatest Common Factor
We found the factors 979,1320 . The biggest common factor number is the GCF number.
So the greatest common factor 979,1320 is 11.
Lets's calculate LCM of 791,970
Given numbers has no common factors except 1. So, there LCM is their product i.e 767270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/767270
Therefore, the GCF of Fractions 979/791,1320/970 is 11/767270
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 791,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,970) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,970) x common factors =1 x 1 = 1
LCM(791,970) = ( 791 × 970 ) / 1
LCM(791,970) = 767270 / 1
LCM(791,970) = 767270
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 979/791, 1320/970?
Answer: GCF of Numerators as per given numbers 979/791, 1320/970 is
GCF of Numerators i.e. for 979,1320 is 11
LCM of denominators i.e. for 791,970 is 767270.
Thus, GCF of Fractions is 11/767270.Finally, GCF of Fractions for 979/791, 1320/970 is 11/767270.