Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7012/295,1120/1230
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 7012,1120
Greatest Common Factor of Numerators i.e. GCF of 7012,1120 is 4 .
LCM of Denominators means LCM of 295,1230 as per the given fractions.
LCM of 295,1230 is 72570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7012,1120
2 | 7012, 1120 |
2 | 3506, 560 |
1753, 280 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 7012
List of positive integer factors of 7012 that divides 7012 without a remainder.
1,2,4,1753,3506,7012
Factors of 1120
List of positive integer factors of 1120 that divides 1120 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120
Greatest Common Factor
We found the factors 7012,1120 . The biggest common factor number is the GCF number.
So the greatest common factor 7012,1120 is 4.
Lets's calculate LCM of 295,1230
5 | 295, 1230 |
59, 246 |
∴ So the LCM of the given numbers is 5 x 59 x 246 = 72570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/72570
Therefore, the GCF of Fractions 7012/295,1120/1230 is 4/72570
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 295,1230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,1230) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,1230) x common factors =5 x 1 = 5
LCM(295,1230) = ( 295 × 1230 ) / 5
LCM(295,1230) = 362850 / 5
LCM(295,1230) = 72570
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 7012/295, 1120/1230?
Answer: GCF of Numerators as per given numbers 7012/295, 1120/1230 is
GCF of Numerators i.e. for 7012,1120 is 4
LCM of denominators i.e. for 295,1230 is 72570.
Thus, GCF of Fractions is 4/72570.Finally, GCF of Fractions for 7012/295, 1120/1230 is 4/72570.