Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7710/42,9025/797
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 7710,9025
Greatest Common Factor of Numerators i.e. GCF of 7710,9025 is 5 .
LCM of Denominators means LCM of 42,797 as per the given fractions.
LCM of 42,797 is 33474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7710,9025
5 | 7710, 9025 |
1542, 1805 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 7710
List of positive integer factors of 7710 that divides 7710 without a remainder.
1,2,3,5,6,10,15,30,257,514,771,1285,1542,2570,3855,7710
Factors of 9025
List of positive integer factors of 9025 that divides 9025 without a remainder.
1,5,19,25,95,361,475,1805,9025
Greatest Common Factor
We found the factors 7710,9025 . The biggest common factor number is the GCF number.
So the greatest common factor 7710,9025 is 5.
Lets's calculate LCM of 42,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 33474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/33474
Therefore, the GCF of Fractions 7710/42,9025/797 is 5/33474
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 42,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,797) x common factors =1 x 1 = 1
LCM(42,797) = ( 42 × 797 ) / 1
LCM(42,797) = 33474 / 1
LCM(42,797) = 33474
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 7710/42, 9025/797?
Answer: GCF of Numerators as per given numbers 7710/42, 9025/797 is
GCF of Numerators i.e. for 7710,9025 is 5
LCM of denominators i.e. for 42,797 is 33474.
Thus, GCF of Fractions is 5/33474.Finally, GCF of Fractions for 7710/42, 9025/797 is 5/33474.