Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6629/714,2932/137
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 6629,2932
Greatest Common Factor of Numerators i.e. GCF of 6629,2932 is 1 .
LCM of Denominators means LCM of 714,137 as per the given fractions.
LCM of 714,137 is 97818 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6629,2932
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6629
List of positive integer factors of 6629 that divides 6629 without a remainder.
1,7,947,6629
Factors of 2932
List of positive integer factors of 2932 that divides 2932 without a remainder.
1,2,4,733,1466,2932
Greatest Common Factor
We found the factors 6629,2932 . The biggest common factor number is the GCF number.
So the greatest common factor 6629,2932 is 1.
Lets's calculate LCM of 714,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 97818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97818
Therefore, the GCF of Fractions 6629/714,2932/137 is 1/97818
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 714,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(714,137) x common factors =1 x 1 = 1
LCM(714,137) = ( 714 × 137 ) / 1
LCM(714,137) = 97818 / 1
LCM(714,137) = 97818
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 6629/714, 2932/137?
Answer: GCF of Numerators as per given numbers 6629/714, 2932/137 is
GCF of Numerators i.e. for 6629,2932 is 1
LCM of denominators i.e. for 714,137 is 97818.
Thus, GCF of Fractions is 1/97818.Finally, GCF of Fractions for 6629/714, 2932/137 is 1/97818.