Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3991/177,8780/4200
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 3991,8780
Greatest Common Factor of Numerators i.e. GCF of 3991,8780 is 1 .
LCM of Denominators means LCM of 177,4200 as per the given fractions.
LCM of 177,4200 is 247800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3991,8780
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3991
List of positive integer factors of 3991 that divides 3991 without a remainder.
1,13,307,3991
Factors of 8780
List of positive integer factors of 8780 that divides 8780 without a remainder.
1,2,4,5,10,20,439,878,1756,2195,4390,8780
Greatest Common Factor
We found the factors 3991,8780 . The biggest common factor number is the GCF number.
So the greatest common factor 3991,8780 is 1.
Lets's calculate LCM of 177,4200
3 | 177, 4200 |
59, 1400 |
∴ So the LCM of the given numbers is 3 x 59 x 1400 = 247800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247800
Therefore, the GCF of Fractions 3991/177,8780/4200 is 1/247800
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 177,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,4200) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,4200) x common factors =3 x 1 = 3
LCM(177,4200) = ( 177 × 4200 ) / 3
LCM(177,4200) = 743400 / 3
LCM(177,4200) = 247800
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 3991/177, 8780/4200?
Answer: GCF of Numerators as per given numbers 3991/177, 8780/4200 is
GCF of Numerators i.e. for 3991,8780 is 1
LCM of denominators i.e. for 177,4200 is 247800.
Thus, GCF of Fractions is 1/247800.Finally, GCF of Fractions for 3991/177, 8780/4200 is 1/247800.