Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 374/626,663/974
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 374,663
Greatest Common Factor of Numerators i.e. GCF of 374,663 is 17 .
LCM of Denominators means LCM of 626,974 as per the given fractions.
LCM of 626,974 is 304862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 374,663
17 | 374, 663 |
22, 39 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 374,663 . The biggest common factor number is the GCF number.
So the greatest common factor 374,663 is 17.
Lets's calculate LCM of 626,974
2 | 626, 974 |
313, 487 |
∴ So the LCM of the given numbers is 2 x 313 x 487 = 304862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/304862
Therefore, the GCF of Fractions 374/626,663/974 is 17/304862
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 626,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,974) x common factors =2 x 1 = 2
LCM(626,974) = ( 626 × 974 ) / 2
LCM(626,974) = 609724 / 2
LCM(626,974) = 304862
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 374/626, 663/974?
Answer: GCF of Numerators as per given numbers 374/626, 663/974 is
GCF of Numerators i.e. for 374,663 is 17
LCM of denominators i.e. for 626,974 is 304862.
Thus, GCF of Fractions is 17/304862.Finally, GCF of Fractions for 374/626, 663/974 is 17/304862.