Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7815/42,2940/930
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 7815,2940
Greatest Common Factor of Numerators i.e. GCF of 7815,2940 is 15 .
LCM of Denominators means LCM of 42,930 as per the given fractions.
LCM of 42,930 is 6510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7815,2940
3 | 7815, 2940 |
5 | 2605, 980 |
521, 196 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 7815
List of positive integer factors of 7815 that divides 7815 without a remainder.
1,3,5,15,521,1563,2605,7815
Factors of 2940
List of positive integer factors of 2940 that divides 2940 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940
Greatest Common Factor
We found the factors 7815,2940 . The biggest common factor number is the GCF number.
So the greatest common factor 7815,2940 is 15.
Lets's calculate LCM of 42,930
2 | 42, 930 |
3 | 21, 465 |
7, 155 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 155 = 6510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/6510
Therefore, the GCF of Fractions 7815/42,2940/930 is 15/6510
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 42,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,930) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(42,930) x common factors =6 x 1 = 6
LCM(42,930) = ( 42 × 930 ) / 6
LCM(42,930) = 39060 / 6
LCM(42,930) = 6510
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 7815/42, 2940/930?
Answer: GCF of Numerators as per given numbers 7815/42, 2940/930 is
GCF of Numerators i.e. for 7815,2940 is 15
LCM of denominators i.e. for 42,930 is 6510.
Thus, GCF of Fractions is 15/6510.Finally, GCF of Fractions for 7815/42, 2940/930 is 15/6510.