Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 931/696,7480/111
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 931,7480
Greatest Common Factor of Numerators i.e. GCF of 931,7480 is 1 .
LCM of Denominators means LCM of 696,111 as per the given fractions.
LCM of 696,111 is 25752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 931,7480
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 7480
List of positive integer factors of 7480 that divides 7480 without a remainder.
1,2,4,5,8,10,11,17,20,22,34,40,44,55,68,85,88,110,136,170,187,220,340,374,440,680,748,935,1496,1870,3740,7480
Greatest Common Factor
We found the factors 931,7480 . The biggest common factor number is the GCF number.
So the greatest common factor 931,7480 is 1.
Lets's calculate LCM of 696,111
3 | 696, 111 |
232, 37 |
∴ So the LCM of the given numbers is 3 x 232 x 37 = 25752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25752
Therefore, the GCF of Fractions 931/696,7480/111 is 1/25752
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 696,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(696,111) x common factors =3 x 1 = 3
LCM(696,111) = ( 696 × 111 ) / 3
LCM(696,111) = 77256 / 3
LCM(696,111) = 25752
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 931/696, 7480/111?
Answer: GCF of Numerators as per given numbers 931/696, 7480/111 is
GCF of Numerators i.e. for 931,7480 is 1
LCM of denominators i.e. for 696,111 is 25752.
Thus, GCF of Fractions is 1/25752.Finally, GCF of Fractions for 931/696, 7480/111 is 1/25752.