Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 346/72,9211/974
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 346,9211
Greatest Common Factor of Numerators i.e. GCF of 346,9211 is 1 .
LCM of Denominators means LCM of 72,974 as per the given fractions.
LCM of 72,974 is 35064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 346,9211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 9211
List of positive integer factors of 9211 that divides 9211 without a remainder.
1,61,151,9211
Greatest Common Factor
We found the factors 346,9211 . The biggest common factor number is the GCF number.
So the greatest common factor 346,9211 is 1.
Lets's calculate LCM of 72,974
2 | 72, 974 |
36, 487 |
∴ So the LCM of the given numbers is 2 x 36 x 487 = 35064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35064
Therefore, the GCF of Fractions 346/72,9211/974 is 1/35064
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 72,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(72,974) x common factors =2 x 1 = 2
LCM(72,974) = ( 72 × 974 ) / 2
LCM(72,974) = 70128 / 2
LCM(72,974) = 35064
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 346/72, 9211/974?
Answer: GCF of Numerators as per given numbers 346/72, 9211/974 is
GCF of Numerators i.e. for 346,9211 is 1
LCM of denominators i.e. for 72,974 is 35064.
Thus, GCF of Fractions is 1/35064.Finally, GCF of Fractions for 346/72, 9211/974 is 1/35064.