Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 695/111,145/354
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 695,145
Greatest Common Factor of Numerators i.e. GCF of 695,145 is 5 .
LCM of Denominators means LCM of 111,354 as per the given fractions.
LCM of 111,354 is 13098 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 695,145
5 | 695, 145 |
139, 29 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Greatest Common Factor
We found the factors 695,145 . The biggest common factor number is the GCF number.
So the greatest common factor 695,145 is 5.
Lets's calculate LCM of 111,354
3 | 111, 354 |
37, 118 |
∴ So the LCM of the given numbers is 3 x 37 x 118 = 13098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/13098
Therefore, the GCF of Fractions 695/111,145/354 is 5/13098
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 111,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,354) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(111,354) x common factors =3 x 1 = 3
LCM(111,354) = ( 111 × 354 ) / 3
LCM(111,354) = 39294 / 3
LCM(111,354) = 13098
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 695/111, 145/354?
Answer: GCF of Numerators as per given numbers 695/111, 145/354 is
GCF of Numerators i.e. for 695,145 is 5
LCM of denominators i.e. for 111,354 is 13098.
Thus, GCF of Fractions is 5/13098.Finally, GCF of Fractions for 695/111, 145/354 is 5/13098.