Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 438/85,957/42,771/77
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 438,957,771
Greatest Common Factor of Numerators i.e. GCF of 438,957,771 is 3 .
LCM of Denominators means LCM of 85,42,77 as per the given fractions.
LCM of 85,42,77 is 39270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 438,957,771
3 | 438, 957, 771 |
146, 319, 257 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 438,957,771 . The biggest common factor number is the GCF number.
So the greatest common factor 438,957,771 is 3.
Lets's calculate LCM of 85,42,77
7 | 85, 42, 77 |
85, 6, 11 |
∴ So the LCM of the given numbers is 7 x 85 x 6 x 11 = 39270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39270
Therefore, the GCF of Fractions 438/85,957/42,771/77 is 3/39270
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 85,42,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,42,77) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(85,42,77) x common factors =1 x 7 = 7
LCM(85,42,77) = ( 85 × 42 × 77 ) / 7
LCM(85,42,77) = 274890 / 7
LCM(85,42,77) = 39270
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 438/85, 957/42, 771/77?
Answer: GCF of Numerators as per given numbers 438/85, 957/42, 771/77 is
GCF of Numerators i.e. for 438,957,771 is 3
LCM of denominators i.e. for 85,42,77 is 39270.
Thus, GCF of Fractions is 3/39270.Finally, GCF of Fractions for 438/85, 957/42, 771/77 is 3/39270.