Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 681/78,456/1851
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 681,456
Greatest Common Factor of Numerators i.e. GCF of 681,456 is 3 .
LCM of Denominators means LCM of 78,1851 as per the given fractions.
LCM of 78,1851 is 48126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 681,456
3 | 681, 456 |
227, 152 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 681,456 . The biggest common factor number is the GCF number.
So the greatest common factor 681,456 is 3.
Lets's calculate LCM of 78,1851
3 | 78, 1851 |
26, 617 |
∴ So the LCM of the given numbers is 3 x 26 x 617 = 48126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48126
Therefore, the GCF of Fractions 681/78,456/1851 is 3/48126
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 78,1851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,1851) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(78,1851) x common factors =3 x 1 = 3
LCM(78,1851) = ( 78 × 1851 ) / 3
LCM(78,1851) = 144378 / 3
LCM(78,1851) = 48126
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 681/78, 456/1851?
Answer: GCF of Numerators as per given numbers 681/78, 456/1851 is
GCF of Numerators i.e. for 681,456 is 3
LCM of denominators i.e. for 78,1851 is 48126.
Thus, GCF of Fractions is 3/48126.Finally, GCF of Fractions for 681/78, 456/1851 is 3/48126.