Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7080/547,3220/824
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 7080,3220
Greatest Common Factor of Numerators i.e. GCF of 7080,3220 is 20 .
LCM of Denominators means LCM of 547,824 as per the given fractions.
LCM of 547,824 is 450728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7080,3220
2 | 7080, 3220 |
2 | 3540, 1610 |
5 | 1770, 805 |
354, 161 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 7080
List of positive integer factors of 7080 that divides 7080 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080
Factors of 3220
List of positive integer factors of 3220 that divides 3220 without a remainder.
1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220
Greatest Common Factor
We found the factors 7080,3220 . The biggest common factor number is the GCF number.
So the greatest common factor 7080,3220 is 20.
Lets's calculate LCM of 547,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 450728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/450728
Therefore, the GCF of Fractions 7080/547,3220/824 is 20/450728
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 547,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,824) x common factors =1 x 1 = 1
LCM(547,824) = ( 547 × 824 ) / 1
LCM(547,824) = 450728 / 1
LCM(547,824) = 450728
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 7080/547, 3220/824?
Answer: GCF of Numerators as per given numbers 7080/547, 3220/824 is
GCF of Numerators i.e. for 7080,3220 is 20
LCM of denominators i.e. for 547,824 is 450728.
Thus, GCF of Fractions is 20/450728.Finally, GCF of Fractions for 7080/547, 3220/824 is 20/450728.