Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/139,69/919,902/572
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 70,69,902
Greatest Common Factor of Numerators i.e. GCF of 70,69,902 is 1 .
LCM of Denominators means LCM of 139,919,572 as per the given fractions.
LCM of 139,919,572 is 73067852 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,69,902
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 70,69,902 . The biggest common factor number is the GCF number.
So the greatest common factor 70,69,902 is 1.
Lets's calculate LCM of 139,919,572
Given numbers has no common factors except 1. So, there LCM is their product i.e 73067852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73067852
Therefore, the GCF of Fractions 70/139,69/919,902/572 is 1/73067852
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 139,919,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,919,572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,919,572) x common factors =1 x 1 = 1
LCM(139,919,572) = ( 139 × 919 × 572 ) / 1
LCM(139,919,572) = 73067852 / 1
LCM(139,919,572) = 73067852
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 70/139, 69/919, 902/572?
Answer: GCF of Numerators as per given numbers 70/139, 69/919, 902/572 is
GCF of Numerators i.e. for 70,69,902 is 1
LCM of denominators i.e. for 139,919,572 is 73067852.
Thus, GCF of Fractions is 1/73067852.Finally, GCF of Fractions for 70/139, 69/919, 902/572 is 1/73067852.