Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5214/416,5380/4476
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 5214,5380
Greatest Common Factor of Numerators i.e. GCF of 5214,5380 is 2 .
LCM of Denominators means LCM of 416,4476 as per the given fractions.
LCM of 416,4476 is 465504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5214,5380
2 | 5214, 5380 |
2607, 2690 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5214
List of positive integer factors of 5214 that divides 5214 without a remainder.
1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Factors of 5380
List of positive integer factors of 5380 that divides 5380 without a remainder.
1,2,4,5,10,20,269,538,1076,1345,2690,5380
Greatest Common Factor
We found the factors 5214,5380 . The biggest common factor number is the GCF number.
So the greatest common factor 5214,5380 is 2.
Lets's calculate LCM of 416,4476
2 | 416, 4476 |
2 | 208, 2238 |
104, 1119 |
∴ So the LCM of the given numbers is 2 x 2 x 104 x 1119 = 465504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/465504
Therefore, the GCF of Fractions 5214/416,5380/4476 is 2/465504
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 416,4476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,4476) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(416,4476) x common factors =4 x 1 = 4
LCM(416,4476) = ( 416 × 4476 ) / 4
LCM(416,4476) = 1862016 / 4
LCM(416,4476) = 465504
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 5214/416, 5380/4476?
Answer: GCF of Numerators as per given numbers 5214/416, 5380/4476 is
GCF of Numerators i.e. for 5214,5380 is 2
LCM of denominators i.e. for 416,4476 is 465504.
Thus, GCF of Fractions is 2/465504.Finally, GCF of Fractions for 5214/416, 5380/4476 is 2/465504.