Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/79,85/789,137/304
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 35,85,137
Greatest Common Factor of Numerators i.e. GCF of 35,85,137 is 1 .
LCM of Denominators means LCM of 79,789,304 as per the given fractions.
LCM of 79,789,304 is 18948624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 35,85,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 35,85,137 . The biggest common factor number is the GCF number.
So the greatest common factor 35,85,137 is 1.
Lets's calculate LCM of 79,789,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 18948624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18948624
Therefore, the GCF of Fractions 35/79,85/789,137/304 is 1/18948624
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 79,789,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,789,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,789,304) x common factors =1 x 1 = 1
LCM(79,789,304) = ( 79 × 789 × 304 ) / 1
LCM(79,789,304) = 18948624 / 1
LCM(79,789,304) = 18948624
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 35/79, 85/789, 137/304?
Answer: GCF of Numerators as per given numbers 35/79, 85/789, 137/304 is
GCF of Numerators i.e. for 35,85,137 is 1
LCM of denominators i.e. for 79,789,304 is 18948624.
Thus, GCF of Fractions is 1/18948624.Finally, GCF of Fractions for 35/79, 85/789, 137/304 is 1/18948624.