Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 571/100,7612/279
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 571,7612
Greatest Common Factor of Numerators i.e. GCF of 571,7612 is 1 .
LCM of Denominators means LCM of 100,279 as per the given fractions.
LCM of 100,279 is 27900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 571,7612
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 7612
List of positive integer factors of 7612 that divides 7612 without a remainder.
1,2,4,11,22,44,173,346,692,1903,3806,7612
Greatest Common Factor
We found the factors 571,7612 . The biggest common factor number is the GCF number.
So the greatest common factor 571,7612 is 1.
Lets's calculate LCM of 100,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 27900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27900
Therefore, the GCF of Fractions 571/100,7612/279 is 1/27900
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 100,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,279) x common factors =1 x 1 = 1
LCM(100,279) = ( 100 × 279 ) / 1
LCM(100,279) = 27900 / 1
LCM(100,279) = 27900
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 571/100, 7612/279?
Answer: GCF of Numerators as per given numbers 571/100, 7612/279 is
GCF of Numerators i.e. for 571,7612 is 1
LCM of denominators i.e. for 100,279 is 27900.
Thus, GCF of Fractions is 1/27900.Finally, GCF of Fractions for 571/100, 7612/279 is 1/27900.