Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 508/279,1380/7699
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 508,1380
Greatest Common Factor of Numerators i.e. GCF of 508,1380 is 4 .
LCM of Denominators means LCM of 279,7699 as per the given fractions.
LCM of 279,7699 is 2148021 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 508,1380
2 | 508, 1380 |
2 | 254, 690 |
127, 345 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 1380
List of positive integer factors of 1380 that divides 1380 without a remainder.
1,2,3,4,5,6,10,12,15,20,23,30,46,60,69,92,115,138,230,276,345,460,690,1380
Greatest Common Factor
We found the factors 508,1380 . The biggest common factor number is the GCF number.
So the greatest common factor 508,1380 is 4.
Lets's calculate LCM of 279,7699
Given numbers has no common factors except 1. So, there LCM is their product i.e 2148021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2148021
Therefore, the GCF of Fractions 508/279,1380/7699 is 4/2148021
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 279,7699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,7699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,7699) x common factors =1 x 1 = 1
LCM(279,7699) = ( 279 × 7699 ) / 1
LCM(279,7699) = 2148021 / 1
LCM(279,7699) = 2148021
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 508/279, 1380/7699?
Answer: GCF of Numerators as per given numbers 508/279, 1380/7699 is
GCF of Numerators i.e. for 508,1380 is 4
LCM of denominators i.e. for 279,7699 is 2148021.
Thus, GCF of Fractions is 4/2148021.Finally, GCF of Fractions for 508/279, 1380/7699 is 4/2148021.