Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 733/456,3762/714
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 733,3762
Greatest Common Factor of Numerators i.e. GCF of 733,3762 is 1 .
LCM of Denominators means LCM of 456,714 as per the given fractions.
LCM of 456,714 is 54264 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 733,3762
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 3762
List of positive integer factors of 3762 that divides 3762 without a remainder.
1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762
Greatest Common Factor
We found the factors 733,3762 . The biggest common factor number is the GCF number.
So the greatest common factor 733,3762 is 1.
Lets's calculate LCM of 456,714
2 | 456, 714 |
3 | 228, 357 |
76, 119 |
∴ So the LCM of the given numbers is 2 x 3 x 76 x 119 = 54264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54264
Therefore, the GCF of Fractions 733/456,3762/714 is 1/54264
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 456,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,714) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(456,714) x common factors =6 x 1 = 6
LCM(456,714) = ( 456 × 714 ) / 6
LCM(456,714) = 325584 / 6
LCM(456,714) = 54264
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 733/456, 3762/714?
Answer: GCF of Numerators as per given numbers 733/456, 3762/714 is
GCF of Numerators i.e. for 733,3762 is 1
LCM of denominators i.e. for 456,714 is 54264.
Thus, GCF of Fractions is 1/54264.Finally, GCF of Fractions for 733/456, 3762/714 is 1/54264.