Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1492/93,4904/329
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 1492,4904
Greatest Common Factor of Numerators i.e. GCF of 1492,4904 is 4 .
LCM of Denominators means LCM of 93,329 as per the given fractions.
LCM of 93,329 is 30597 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1492,4904
2 | 1492, 4904 |
2 | 746, 2452 |
373, 1226 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1492
List of positive integer factors of 1492 that divides 1492 without a remainder.
1,2,4,373,746,1492
Factors of 4904
List of positive integer factors of 4904 that divides 4904 without a remainder.
1,2,4,8,613,1226,2452,4904
Greatest Common Factor
We found the factors 1492,4904 . The biggest common factor number is the GCF number.
So the greatest common factor 1492,4904 is 4.
Lets's calculate LCM of 93,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 30597
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/30597
Therefore, the GCF of Fractions 1492/93,4904/329 is 4/30597
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 93,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,329) x common factors =1 x 1 = 1
LCM(93,329) = ( 93 × 329 ) / 1
LCM(93,329) = 30597 / 1
LCM(93,329) = 30597
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 1492/93, 4904/329?
Answer: GCF of Numerators as per given numbers 1492/93, 4904/329 is
GCF of Numerators i.e. for 1492,4904 is 4
LCM of denominators i.e. for 93,329 is 30597.
Thus, GCF of Fractions is 4/30597.Finally, GCF of Fractions for 1492/93, 4904/329 is 4/30597.