Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7930/595,5720/392
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 7930,5720
Greatest Common Factor of Numerators i.e. GCF of 7930,5720 is 130 .
LCM of Denominators means LCM of 595,392 as per the given fractions.
LCM of 595,392 is 33320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7930,5720
2 | 7930, 5720 |
5 | 3965, 2860 |
13 | 793, 572 |
61, 44 |
∴ So the GCF of the given numbers is 2 x 5 x 13 = 130
Factors of 7930
List of positive integer factors of 7930 that divides 7930 without a remainder.
1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930
Factors of 5720
List of positive integer factors of 5720 that divides 5720 without a remainder.
1,2,4,5,8,10,11,13,20,22,26,40,44,52,55,65,88,104,110,130,143,220,260,286,440,520,572,715,1144,1430,2860,5720
Greatest Common Factor
We found the factors 7930,5720 . The biggest common factor number is the GCF number.
So the greatest common factor 7930,5720 is 130.
Lets's calculate LCM of 595,392
7 | 595, 392 |
85, 56 |
∴ So the LCM of the given numbers is 7 x 85 x 56 = 33320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 130/33320
Therefore, the GCF of Fractions 7930/595,5720/392 is 130/33320
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 595,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,392) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(595,392) x common factors =7 x 1 = 7
LCM(595,392) = ( 595 × 392 ) / 7
LCM(595,392) = 233240 / 7
LCM(595,392) = 33320
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 7930/595, 5720/392?
Answer: GCF of Numerators as per given numbers 7930/595, 5720/392 is
GCF of Numerators i.e. for 7930,5720 is 130
LCM of denominators i.e. for 595,392 is 33320.
Thus, GCF of Fractions is 130/33320.Finally, GCF of Fractions for 7930/595, 5720/392 is 130/33320.