Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 753/77,807/2980
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 753,807
Greatest Common Factor of Numerators i.e. GCF of 753,807 is 3 .
LCM of Denominators means LCM of 77,2980 as per the given fractions.
LCM of 77,2980 is 229460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 753,807
3 | 753, 807 |
251, 269 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors 753,807 . The biggest common factor number is the GCF number.
So the greatest common factor 753,807 is 3.
Lets's calculate LCM of 77,2980
Given numbers has no common factors except 1. So, there LCM is their product i.e 229460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/229460
Therefore, the GCF of Fractions 753/77,807/2980 is 3/229460
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 77,2980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,2980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,2980) x common factors =1 x 1 = 1
LCM(77,2980) = ( 77 × 2980 ) / 1
LCM(77,2980) = 229460 / 1
LCM(77,2980) = 229460
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 753/77, 807/2980?
Answer: GCF of Numerators as per given numbers 753/77, 807/2980 is
GCF of Numerators i.e. for 753,807 is 3
LCM of denominators i.e. for 77,2980 is 229460.
Thus, GCF of Fractions is 3/229460.Finally, GCF of Fractions for 753/77, 807/2980 is 3/229460.