Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9874/42,6320/270
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 9874,6320
Greatest Common Factor of Numerators i.e. GCF of 9874,6320 is 2 .
LCM of Denominators means LCM of 42,270 as per the given fractions.
LCM of 42,270 is 1890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9874,6320
2 | 9874, 6320 |
4937, 3160 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9874
List of positive integer factors of 9874 that divides 9874 without a remainder.
1,2,4937,9874
Factors of 6320
List of positive integer factors of 6320 that divides 6320 without a remainder.
1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320
Greatest Common Factor
We found the factors 9874,6320 . The biggest common factor number is the GCF number.
So the greatest common factor 9874,6320 is 2.
Lets's calculate LCM of 42,270
2 | 42, 270 |
3 | 21, 135 |
7, 45 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 45 = 1890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1890
Therefore, the GCF of Fractions 9874/42,6320/270 is 2/1890
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 42,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,270) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(42,270) x common factors =6 x 1 = 6
LCM(42,270) = ( 42 × 270 ) / 6
LCM(42,270) = 11340 / 6
LCM(42,270) = 1890
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 9874/42, 6320/270?
Answer: GCF of Numerators as per given numbers 9874/42, 6320/270 is
GCF of Numerators i.e. for 9874,6320 is 2
LCM of denominators i.e. for 42,270 is 1890.
Thus, GCF of Fractions is 2/1890.Finally, GCF of Fractions for 9874/42, 6320/270 is 2/1890.