Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 934/483,688/684
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 934,688
Greatest Common Factor of Numerators i.e. GCF of 934,688 is 2 .
LCM of Denominators means LCM of 483,684 as per the given fractions.
LCM of 483,684 is 110124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 934,688
2 | 934, 688 |
467, 344 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 934,688 . The biggest common factor number is the GCF number.
So the greatest common factor 934,688 is 2.
Lets's calculate LCM of 483,684
3 | 483, 684 |
161, 228 |
∴ So the LCM of the given numbers is 3 x 161 x 228 = 110124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110124
Therefore, the GCF of Fractions 934/483,688/684 is 2/110124
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 483,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,684) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(483,684) x common factors =3 x 1 = 3
LCM(483,684) = ( 483 × 684 ) / 3
LCM(483,684) = 330372 / 3
LCM(483,684) = 110124
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 934/483, 688/684?
Answer: GCF of Numerators as per given numbers 934/483, 688/684 is
GCF of Numerators i.e. for 934,688 is 2
LCM of denominators i.e. for 483,684 is 110124.
Thus, GCF of Fractions is 2/110124.Finally, GCF of Fractions for 934/483, 688/684 is 2/110124.