Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3397/749,9192/355
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 3397,9192
Greatest Common Factor of Numerators i.e. GCF of 3397,9192 is 1 .
LCM of Denominators means LCM of 749,355 as per the given fractions.
LCM of 749,355 is 265895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3397,9192
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3397
List of positive integer factors of 3397 that divides 3397 without a remainder.
1,43,79,3397
Factors of 9192
List of positive integer factors of 9192 that divides 9192 without a remainder.
1,2,3,4,6,8,12,24,383,766,1149,1532,2298,3064,4596,9192
Greatest Common Factor
We found the factors 3397,9192 . The biggest common factor number is the GCF number.
So the greatest common factor 3397,9192 is 1.
Lets's calculate LCM of 749,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 265895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265895
Therefore, the GCF of Fractions 3397/749,9192/355 is 1/265895
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 749,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,355) x common factors =1 x 1 = 1
LCM(749,355) = ( 749 × 355 ) / 1
LCM(749,355) = 265895 / 1
LCM(749,355) = 265895
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 3397/749, 9192/355?
Answer: GCF of Numerators as per given numbers 3397/749, 9192/355 is
GCF of Numerators i.e. for 3397,9192 is 1
LCM of denominators i.e. for 749,355 is 265895.
Thus, GCF of Fractions is 1/265895.Finally, GCF of Fractions for 3397/749, 9192/355 is 1/265895.