Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 932/565,798/379
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 932,798
Greatest Common Factor of Numerators i.e. GCF of 932,798 is 2 .
LCM of Denominators means LCM of 565,379 as per the given fractions.
LCM of 565,379 is 214135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 932,798
2 | 932, 798 |
466, 399 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 932,798 . The biggest common factor number is the GCF number.
So the greatest common factor 932,798 is 2.
Lets's calculate LCM of 565,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 214135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/214135
Therefore, the GCF of Fractions 932/565,798/379 is 2/214135
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 565,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,379) x common factors =1 x 1 = 1
LCM(565,379) = ( 565 × 379 ) / 1
LCM(565,379) = 214135 / 1
LCM(565,379) = 214135
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 932/565, 798/379?
Answer: GCF of Numerators as per given numbers 932/565, 798/379 is
GCF of Numerators i.e. for 932,798 is 2
LCM of denominators i.e. for 565,379 is 214135.
Thus, GCF of Fractions is 2/214135.Finally, GCF of Fractions for 932/565, 798/379 is 2/214135.