Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3253/468,6576/7221
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 3253,6576
Greatest Common Factor of Numerators i.e. GCF of 3253,6576 is 1 .
LCM of Denominators means LCM of 468,7221 as per the given fractions.
LCM of 468,7221 is 1126476 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3253,6576
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3253
List of positive integer factors of 3253 that divides 3253 without a remainder.
1,3253
Factors of 6576
List of positive integer factors of 6576 that divides 6576 without a remainder.
1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576
Greatest Common Factor
We found the factors 3253,6576 . The biggest common factor number is the GCF number.
So the greatest common factor 3253,6576 is 1.
Lets's calculate LCM of 468,7221
3 | 468, 7221 |
156, 2407 |
∴ So the LCM of the given numbers is 3 x 156 x 2407 = 1126476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1126476
Therefore, the GCF of Fractions 3253/468,6576/7221 is 1/1126476
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 468,7221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,7221) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(468,7221) x common factors =3 x 1 = 3
LCM(468,7221) = ( 468 × 7221 ) / 3
LCM(468,7221) = 3379428 / 3
LCM(468,7221) = 1126476
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 3253/468, 6576/7221?
Answer: GCF of Numerators as per given numbers 3253/468, 6576/7221 is
GCF of Numerators i.e. for 3253,6576 is 1
LCM of denominators i.e. for 468,7221 is 1126476.
Thus, GCF of Fractions is 1/1126476.Finally, GCF of Fractions for 3253/468, 6576/7221 is 1/1126476.