Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 658/64,292/71,116/667
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 658,292,116
Greatest Common Factor of Numerators i.e. GCF of 658,292,116 is 2 .
LCM of Denominators means LCM of 64,71,667 as per the given fractions.
LCM of 64,71,667 is 3030848 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 658,292,116
2 | 658, 292, 116 |
329, 146, 58 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 658,292,116 . The biggest common factor number is the GCF number.
So the greatest common factor 658,292,116 is 2.
Lets's calculate LCM of 64,71,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 3030848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3030848
Therefore, the GCF of Fractions 658/64,292/71,116/667 is 2/3030848
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 64,71,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,71,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,71,667) x common factors =1 x 1 = 1
LCM(64,71,667) = ( 64 × 71 × 667 ) / 1
LCM(64,71,667) = 3030848 / 1
LCM(64,71,667) = 3030848
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 658/64, 292/71, 116/667?
Answer: GCF of Numerators as per given numbers 658/64, 292/71, 116/667 is
GCF of Numerators i.e. for 658,292,116 is 2
LCM of denominators i.e. for 64,71,667 is 3030848.
Thus, GCF of Fractions is 2/3030848.Finally, GCF of Fractions for 658/64, 292/71, 116/667 is 2/3030848.