Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7320/196,7871/8772
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 7320,7871
Greatest Common Factor of Numerators i.e. GCF of 7320,7871 is 1 .
LCM of Denominators means LCM of 196,8772 as per the given fractions.
LCM of 196,8772 is 429828 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7320,7871
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7320
List of positive integer factors of 7320 that divides 7320 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320
Factors of 7871
List of positive integer factors of 7871 that divides 7871 without a remainder.
1,17,463,7871
Greatest Common Factor
We found the factors 7320,7871 . The biggest common factor number is the GCF number.
So the greatest common factor 7320,7871 is 1.
Lets's calculate LCM of 196,8772
2 | 196, 8772 |
2 | 98, 4386 |
49, 2193 |
∴ So the LCM of the given numbers is 2 x 2 x 49 x 2193 = 429828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429828
Therefore, the GCF of Fractions 7320/196,7871/8772 is 1/429828
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 196,8772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,8772) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(196,8772) x common factors =4 x 1 = 4
LCM(196,8772) = ( 196 × 8772 ) / 4
LCM(196,8772) = 1719312 / 4
LCM(196,8772) = 429828
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 7320/196, 7871/8772?
Answer: GCF of Numerators as per given numbers 7320/196, 7871/8772 is
GCF of Numerators i.e. for 7320,7871 is 1
LCM of denominators i.e. for 196,8772 is 429828.
Thus, GCF of Fractions is 1/429828.Finally, GCF of Fractions for 7320/196, 7871/8772 is 1/429828.