Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1351/349,7620/3385
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 1351,7620
Greatest Common Factor of Numerators i.e. GCF of 1351,7620 is 1 .
LCM of Denominators means LCM of 349,3385 as per the given fractions.
LCM of 349,3385 is 1181365 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1351,7620
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1351
List of positive integer factors of 1351 that divides 1351 without a remainder.
1,7,193,1351
Factors of 7620
List of positive integer factors of 7620 that divides 7620 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620
Greatest Common Factor
We found the factors 1351,7620 . The biggest common factor number is the GCF number.
So the greatest common factor 1351,7620 is 1.
Lets's calculate LCM of 349,3385
Given numbers has no common factors except 1. So, there LCM is their product i.e 1181365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1181365
Therefore, the GCF of Fractions 1351/349,7620/3385 is 1/1181365
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 349,3385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,3385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,3385) x common factors =1 x 1 = 1
LCM(349,3385) = ( 349 × 3385 ) / 1
LCM(349,3385) = 1181365 / 1
LCM(349,3385) = 1181365
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 1351/349, 7620/3385?
Answer: GCF of Numerators as per given numbers 1351/349, 7620/3385 is
GCF of Numerators i.e. for 1351,7620 is 1
LCM of denominators i.e. for 349,3385 is 1181365.
Thus, GCF of Fractions is 1/1181365.Finally, GCF of Fractions for 1351/349, 7620/3385 is 1/1181365.