Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1416/688,5925/4377
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 1416,5925
Greatest Common Factor of Numerators i.e. GCF of 1416,5925 is 3 .
LCM of Denominators means LCM of 688,4377 as per the given fractions.
LCM of 688,4377 is 3011376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1416,5925
3 | 1416, 5925 |
472, 1975 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1416
List of positive integer factors of 1416 that divides 1416 without a remainder.
1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416
Factors of 5925
List of positive integer factors of 5925 that divides 5925 without a remainder.
1,3,5,15,25,75,79,237,395,1185,1975,5925
Greatest Common Factor
We found the factors 1416,5925 . The biggest common factor number is the GCF number.
So the greatest common factor 1416,5925 is 3.
Lets's calculate LCM of 688,4377
Given numbers has no common factors except 1. So, there LCM is their product i.e 3011376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3011376
Therefore, the GCF of Fractions 1416/688,5925/4377 is 3/3011376
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 688,4377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,4377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,4377) x common factors =1 x 1 = 1
LCM(688,4377) = ( 688 × 4377 ) / 1
LCM(688,4377) = 3011376 / 1
LCM(688,4377) = 3011376
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 1416/688, 5925/4377?
Answer: GCF of Numerators as per given numbers 1416/688, 5925/4377 is
GCF of Numerators i.e. for 1416,5925 is 3
LCM of denominators i.e. for 688,4377 is 3011376.
Thus, GCF of Fractions is 3/3011376.Finally, GCF of Fractions for 1416/688, 5925/4377 is 3/3011376.