Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3362/49,7552/708
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 3362,7552
Greatest Common Factor of Numerators i.e. GCF of 3362,7552 is 2 .
LCM of Denominators means LCM of 49,708 as per the given fractions.
LCM of 49,708 is 34692 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3362,7552
2 | 3362, 7552 |
1681, 3776 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3362
List of positive integer factors of 3362 that divides 3362 without a remainder.
1,2,41,82,1681,3362
Factors of 7552
List of positive integer factors of 7552 that divides 7552 without a remainder.
1,2,4,8,16,32,59,64,118,128,236,472,944,1888,3776,7552
Greatest Common Factor
We found the factors 3362,7552 . The biggest common factor number is the GCF number.
So the greatest common factor 3362,7552 is 2.
Lets's calculate LCM of 49,708
Given numbers has no common factors except 1. So, there LCM is their product i.e 34692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34692
Therefore, the GCF of Fractions 3362/49,7552/708 is 2/34692
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 49,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,708) x common factors =1 x 1 = 1
LCM(49,708) = ( 49 × 708 ) / 1
LCM(49,708) = 34692 / 1
LCM(49,708) = 34692
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 3362/49, 7552/708?
Answer: GCF of Numerators as per given numbers 3362/49, 7552/708 is
GCF of Numerators i.e. for 3362,7552 is 2
LCM of denominators i.e. for 49,708 is 34692.
Thus, GCF of Fractions is 2/34692.Finally, GCF of Fractions for 3362/49, 7552/708 is 2/34692.