Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8759/270,7610/6407
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 8759,7610
Greatest Common Factor of Numerators i.e. GCF of 8759,7610 is 1 .
LCM of Denominators means LCM of 270,6407 as per the given fractions.
LCM of 270,6407 is 1729890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8759,7610
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8759
List of positive integer factors of 8759 that divides 8759 without a remainder.
1,19,461,8759
Factors of 7610
List of positive integer factors of 7610 that divides 7610 without a remainder.
1,2,5,10,761,1522,3805,7610
Greatest Common Factor
We found the factors 8759,7610 . The biggest common factor number is the GCF number.
So the greatest common factor 8759,7610 is 1.
Lets's calculate LCM of 270,6407
Given numbers has no common factors except 1. So, there LCM is their product i.e 1729890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1729890
Therefore, the GCF of Fractions 8759/270,7610/6407 is 1/1729890
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 270,6407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,6407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(270,6407) x common factors =1 x 1 = 1
LCM(270,6407) = ( 270 × 6407 ) / 1
LCM(270,6407) = 1729890 / 1
LCM(270,6407) = 1729890
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 8759/270, 7610/6407?
Answer: GCF of Numerators as per given numbers 8759/270, 7610/6407 is
GCF of Numerators i.e. for 8759,7610 is 1
LCM of denominators i.e. for 270,6407 is 1729890.
Thus, GCF of Fractions is 1/1729890.Finally, GCF of Fractions for 8759/270, 7610/6407 is 1/1729890.