Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3739/111,3360/7880
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 3739,3360
Greatest Common Factor of Numerators i.e. GCF of 3739,3360 is 1 .
LCM of Denominators means LCM of 111,7880 as per the given fractions.
LCM of 111,7880 is 874680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3739,3360
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3739
List of positive integer factors of 3739 that divides 3739 without a remainder.
1,3739
Factors of 3360
List of positive integer factors of 3360 that divides 3360 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,70,80,84,96,105,112,120,140,160,168,210,224,240,280,336,420,480,560,672,840,1120,1680,3360
Greatest Common Factor
We found the factors 3739,3360 . The biggest common factor number is the GCF number.
So the greatest common factor 3739,3360 is 1.
Lets's calculate LCM of 111,7880
Given numbers has no common factors except 1. So, there LCM is their product i.e 874680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/874680
Therefore, the GCF of Fractions 3739/111,3360/7880 is 1/874680
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 111,7880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,7880) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,7880) x common factors =1 x 1 = 1
LCM(111,7880) = ( 111 × 7880 ) / 1
LCM(111,7880) = 874680 / 1
LCM(111,7880) = 874680
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 3739/111, 3360/7880?
Answer: GCF of Numerators as per given numbers 3739/111, 3360/7880 is
GCF of Numerators i.e. for 3739,3360 is 1
LCM of denominators i.e. for 111,7880 is 874680.
Thus, GCF of Fractions is 1/874680.Finally, GCF of Fractions for 3739/111, 3360/7880 is 1/874680.