Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 282/452,7658/115
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 282,7658
Greatest Common Factor of Numerators i.e. GCF of 282,7658 is 2 .
LCM of Denominators means LCM of 452,115 as per the given fractions.
LCM of 452,115 is 51980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 282,7658
2 | 282, 7658 |
141, 3829 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 7658
List of positive integer factors of 7658 that divides 7658 without a remainder.
1,2,7,14,547,1094,3829,7658
Greatest Common Factor
We found the factors 282,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 282,7658 is 2.
Lets's calculate LCM of 452,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 51980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51980
Therefore, the GCF of Fractions 282/452,7658/115 is 2/51980
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 452,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(452,115) x common factors =1 x 1 = 1
LCM(452,115) = ( 452 × 115 ) / 1
LCM(452,115) = 51980 / 1
LCM(452,115) = 51980
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 282/452, 7658/115?
Answer: GCF of Numerators as per given numbers 282/452, 7658/115 is
GCF of Numerators i.e. for 282,7658 is 2
LCM of denominators i.e. for 452,115 is 51980.
Thus, GCF of Fractions is 2/51980.Finally, GCF of Fractions for 282/452, 7658/115 is 2/51980.