Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 351/465,865/298,798/974
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 351,865,798
Greatest Common Factor of Numerators i.e. GCF of 351,865,798 is 1 .
LCM of Denominators means LCM of 465,298,974 as per the given fractions.
LCM of 465,298,974 is 67483590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 351,865,798
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
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 351,865,798 . The biggest common factor number is the GCF number.
So the greatest common factor 351,865,798 is 1.
Lets's calculate LCM of 465,298,974
2 | 465, 298, 974 |
465, 149, 487 |
∴ So the LCM of the given numbers is 2 x 465 x 149 x 487 = 67483590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67483590
Therefore, the GCF of Fractions 351/465,865/298,798/974 is 1/67483590
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 465,298,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,298,974) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(465,298,974) x common factors =1 x 2 = 2
LCM(465,298,974) = ( 465 × 298 × 974 ) / 2
LCM(465,298,974) = 134967180 / 2
LCM(465,298,974) = 67483590
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 351/465, 865/298, 798/974?
Answer: GCF of Numerators as per given numbers 351/465, 865/298, 798/974 is
GCF of Numerators i.e. for 351,865,798 is 1
LCM of denominators i.e. for 465,298,974 is 67483590.
Thus, GCF of Fractions is 1/67483590.Finally, GCF of Fractions for 351/465, 865/298, 798/974 is 1/67483590.