Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7259/377,2628/5389
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 7259,2628
Greatest Common Factor of Numerators i.e. GCF of 7259,2628 is 1 .
LCM of Denominators means LCM of 377,5389 as per the given fractions.
LCM of 377,5389 is 2031653 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7259,2628
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7259
List of positive integer factors of 7259 that divides 7259 without a remainder.
1,7,17,61,119,427,1037,7259
Factors of 2628
List of positive integer factors of 2628 that divides 2628 without a remainder.
1,2,3,4,6,9,12,18,36,73,146,219,292,438,657,876,1314,2628
Greatest Common Factor
We found the factors 7259,2628 . The biggest common factor number is the GCF number.
So the greatest common factor 7259,2628 is 1.
Lets's calculate LCM of 377,5389
Given numbers has no common factors except 1. So, there LCM is their product i.e 2031653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2031653
Therefore, the GCF of Fractions 7259/377,2628/5389 is 1/2031653
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 377,5389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,5389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,5389) x common factors =1 x 1 = 1
LCM(377,5389) = ( 377 × 5389 ) / 1
LCM(377,5389) = 2031653 / 1
LCM(377,5389) = 2031653
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 7259/377, 2628/5389?
Answer: GCF of Numerators as per given numbers 7259/377, 2628/5389 is
GCF of Numerators i.e. for 7259,2628 is 1
LCM of denominators i.e. for 377,5389 is 2031653.
Thus, GCF of Fractions is 1/2031653.Finally, GCF of Fractions for 7259/377, 2628/5389 is 1/2031653.