Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9040/53,3778/169
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 9040,3778
Greatest Common Factor of Numerators i.e. GCF of 9040,3778 is 2 .
LCM of Denominators means LCM of 53,169 as per the given fractions.
LCM of 53,169 is 8957 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9040,3778
2 | 9040, 3778 |
4520, 1889 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9040
List of positive integer factors of 9040 that divides 9040 without a remainder.
1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Factors of 3778
List of positive integer factors of 3778 that divides 3778 without a remainder.
1,2,1889,3778
Greatest Common Factor
We found the factors 9040,3778 . The biggest common factor number is the GCF number.
So the greatest common factor 9040,3778 is 2.
Lets's calculate LCM of 53,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 8957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8957
Therefore, the GCF of Fractions 9040/53,3778/169 is 2/8957
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 53,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,169) x common factors =1 x 1 = 1
LCM(53,169) = ( 53 × 169 ) / 1
LCM(53,169) = 8957 / 1
LCM(53,169) = 8957
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 9040/53, 3778/169?
Answer: GCF of Numerators as per given numbers 9040/53, 3778/169 is
GCF of Numerators i.e. for 9040,3778 is 2
LCM of denominators i.e. for 53,169 is 8957.
Thus, GCF of Fractions is 2/8957.Finally, GCF of Fractions for 9040/53, 3778/169 is 2/8957.