Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 916/122,568/521,776/276
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 916,568,776
Greatest Common Factor of Numerators i.e. GCF of 916,568,776 is 4 .
LCM of Denominators means LCM of 122,521,276 as per the given fractions.
LCM of 122,521,276 is 8771556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 916,568,776
2 | 916, 568, 776 |
2 | 458, 284, 388 |
229, 142, 194 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 916,568,776 . The biggest common factor number is the GCF number.
So the greatest common factor 916,568,776 is 4.
Lets's calculate LCM of 122,521,276
2 | 122, 521, 276 |
61, 521, 138 |
∴ So the LCM of the given numbers is 2 x 61 x 521 x 138 = 8771556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8771556
Therefore, the GCF of Fractions 916/122,568/521,776/276 is 4/8771556
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 122,521,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,521,276) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(122,521,276) x common factors =1 x 2 = 2
LCM(122,521,276) = ( 122 × 521 × 276 ) / 2
LCM(122,521,276) = 17543112 / 2
LCM(122,521,276) = 8771556
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 916/122, 568/521, 776/276?
Answer: GCF of Numerators as per given numbers 916/122, 568/521, 776/276 is
GCF of Numerators i.e. for 916,568,776 is 4
LCM of denominators i.e. for 122,521,276 is 8771556.
Thus, GCF of Fractions is 4/8771556.Finally, GCF of Fractions for 916/122, 568/521, 776/276 is 4/8771556.