Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4160/888,1762/101
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 4160,1762
Greatest Common Factor of Numerators i.e. GCF of 4160,1762 is 2 .
LCM of Denominators means LCM of 888,101 as per the given fractions.
LCM of 888,101 is 89688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4160,1762
2 | 4160, 1762 |
2080, 881 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4160
List of positive integer factors of 4160 that divides 4160 without a remainder.
1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160
Factors of 1762
List of positive integer factors of 1762 that divides 1762 without a remainder.
1,2,881,1762
Greatest Common Factor
We found the factors 4160,1762 . The biggest common factor number is the GCF number.
So the greatest common factor 4160,1762 is 2.
Lets's calculate LCM of 888,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 89688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89688
Therefore, the GCF of Fractions 4160/888,1762/101 is 2/89688
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 888,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(888,101) x common factors =1 x 1 = 1
LCM(888,101) = ( 888 × 101 ) / 1
LCM(888,101) = 89688 / 1
LCM(888,101) = 89688
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 4160/888, 1762/101?
Answer: GCF of Numerators as per given numbers 4160/888, 1762/101 is
GCF of Numerators i.e. for 4160,1762 is 2
LCM of denominators i.e. for 888,101 is 89688.
Thus, GCF of Fractions is 2/89688.Finally, GCF of Fractions for 4160/888, 1762/101 is 2/89688.