Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 508/1421,749/2132
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 508,749
Greatest Common Factor of Numerators i.e. GCF of 508,749 is 1 .
LCM of Denominators means LCM of 1421,2132 as per the given fractions.
LCM of 1421,2132 is 3029572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 508,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Greatest Common Factor
We found the factors 508,749 . The biggest common factor number is the GCF number.
So the greatest common factor 508,749 is 1.
Lets's calculate LCM of 1421,2132
Given numbers has no common factors except 1. So, there LCM is their product i.e 3029572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3029572
Therefore, the GCF of Fractions 508/1421,749/2132 is 1/3029572
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 1421,2132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1421,2132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1421,2132) x common factors =1 x 1 = 1
LCM(1421,2132) = ( 1421 × 2132 ) / 1
LCM(1421,2132) = 3029572 / 1
LCM(1421,2132) = 3029572
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 508/1421, 749/2132?
Answer: GCF of Numerators as per given numbers 508/1421, 749/2132 is
GCF of Numerators i.e. for 508,749 is 1
LCM of denominators i.e. for 1421,2132 is 3029572.
Thus, GCF of Fractions is 1/3029572.Finally, GCF of Fractions for 508/1421, 749/2132 is 1/3029572.