Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7919/736,9546/322
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 7919,9546
Greatest Common Factor of Numerators i.e. GCF of 7919,9546 is 1 .
LCM of Denominators means LCM of 736,322 as per the given fractions.
LCM of 736,322 is 5152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7919,9546
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7919
List of positive integer factors of 7919 that divides 7919 without a remainder.
1,7919
Factors of 9546
List of positive integer factors of 9546 that divides 9546 without a remainder.
1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546
Greatest Common Factor
We found the factors 7919,9546 . The biggest common factor number is the GCF number.
So the greatest common factor 7919,9546 is 1.
Lets's calculate LCM of 736,322
2 | 736, 322 |
23 | 368, 161 |
16, 7 |
∴ So the LCM of the given numbers is 2 x 23 x 16 x 7 = 5152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5152
Therefore, the GCF of Fractions 7919/736,9546/322 is 1/5152
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 736,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,322) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(736,322) x common factors =46 x 1 = 46
LCM(736,322) = ( 736 × 322 ) / 46
LCM(736,322) = 236992 / 46
LCM(736,322) = 5152
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 7919/736, 9546/322?
Answer: GCF of Numerators as per given numbers 7919/736, 9546/322 is
GCF of Numerators i.e. for 7919,9546 is 1
LCM of denominators i.e. for 736,322 is 5152.
Thus, GCF of Fractions is 1/5152.Finally, GCF of Fractions for 7919/736, 9546/322 is 1/5152.