Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1938/658,9268/6657
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 1938,9268
Greatest Common Factor of Numerators i.e. GCF of 1938,9268 is 2 .
LCM of Denominators means LCM of 658,6657 as per the given fractions.
LCM of 658,6657 is 625758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1938,9268
2 | 1938, 9268 |
969, 4634 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1938
List of positive integer factors of 1938 that divides 1938 without a remainder.
1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938
Factors of 9268
List of positive integer factors of 9268 that divides 9268 without a remainder.
1,2,4,7,14,28,331,662,1324,2317,4634,9268
Greatest Common Factor
We found the factors 1938,9268 . The biggest common factor number is the GCF number.
So the greatest common factor 1938,9268 is 2.
Lets's calculate LCM of 658,6657
7 | 658, 6657 |
94, 951 |
∴ So the LCM of the given numbers is 7 x 94 x 951 = 625758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/625758
Therefore, the GCF of Fractions 1938/658,9268/6657 is 2/625758
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 658,6657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,6657) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(658,6657) x common factors =7 x 1 = 7
LCM(658,6657) = ( 658 × 6657 ) / 7
LCM(658,6657) = 4380306 / 7
LCM(658,6657) = 625758
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 1938/658, 9268/6657?
Answer: GCF of Numerators as per given numbers 1938/658, 9268/6657 is
GCF of Numerators i.e. for 1938,9268 is 2
LCM of denominators i.e. for 658,6657 is 625758.
Thus, GCF of Fractions is 2/625758.Finally, GCF of Fractions for 1938/658, 9268/6657 is 2/625758.