Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8490/28,1418/253
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 8490,1418
Greatest Common Factor of Numerators i.e. GCF of 8490,1418 is 2 .
LCM of Denominators means LCM of 28,253 as per the given fractions.
LCM of 28,253 is 7084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8490,1418
2 | 8490, 1418 |
4245, 709 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8490
List of positive integer factors of 8490 that divides 8490 without a remainder.
1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490
Factors of 1418
List of positive integer factors of 1418 that divides 1418 without a remainder.
1,2,709,1418
Greatest Common Factor
We found the factors 8490,1418 . The biggest common factor number is the GCF number.
So the greatest common factor 8490,1418 is 2.
Lets's calculate LCM of 28,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 7084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7084
Therefore, the GCF of Fractions 8490/28,1418/253 is 2/7084
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 28,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,253) x common factors =1 x 1 = 1
LCM(28,253) = ( 28 × 253 ) / 1
LCM(28,253) = 7084 / 1
LCM(28,253) = 7084
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 8490/28, 1418/253?
Answer: GCF of Numerators as per given numbers 8490/28, 1418/253 is
GCF of Numerators i.e. for 8490,1418 is 2
LCM of denominators i.e. for 28,253 is 7084.
Thus, GCF of Fractions is 2/7084.Finally, GCF of Fractions for 8490/28, 1418/253 is 2/7084.