Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/350,3575/7719
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 77,3575
Greatest Common Factor of Numerators i.e. GCF of 77,3575 is 11 .
LCM of Denominators means LCM of 350,7719 as per the given fractions.
LCM of 350,7719 is 2701650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,3575
11 | 77, 3575 |
7, 325 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 3575
List of positive integer factors of 3575 that divides 3575 without a remainder.
1,5,11,13,25,55,65,143,275,325,715,3575
Greatest Common Factor
We found the factors 77,3575 . The biggest common factor number is the GCF number.
So the greatest common factor 77,3575 is 11.
Lets's calculate LCM of 350,7719
Given numbers has no common factors except 1. So, there LCM is their product i.e 2701650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2701650
Therefore, the GCF of Fractions 77/350,3575/7719 is 11/2701650
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 350,7719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,7719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(350,7719) x common factors =1 x 1 = 1
LCM(350,7719) = ( 350 × 7719 ) / 1
LCM(350,7719) = 2701650 / 1
LCM(350,7719) = 2701650
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 77/350, 3575/7719?
Answer: GCF of Numerators as per given numbers 77/350, 3575/7719 is
GCF of Numerators i.e. for 77,3575 is 11
LCM of denominators i.e. for 350,7719 is 2701650.
Thus, GCF of Fractions is 11/2701650.Finally, GCF of Fractions for 77/350, 3575/7719 is 11/2701650.