Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2992/61,7222/985
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 2992,7222
Greatest Common Factor of Numerators i.e. GCF of 2992,7222 is 2 .
LCM of Denominators means LCM of 61,985 as per the given fractions.
LCM of 61,985 is 60085 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2992,7222
2 | 2992, 7222 |
1496, 3611 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2992
List of positive integer factors of 2992 that divides 2992 without a remainder.
1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992
Factors of 7222
List of positive integer factors of 7222 that divides 7222 without a remainder.
1,2,23,46,157,314,3611,7222
Greatest Common Factor
We found the factors 2992,7222 . The biggest common factor number is the GCF number.
So the greatest common factor 2992,7222 is 2.
Lets's calculate LCM of 61,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 60085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60085
Therefore, the GCF of Fractions 2992/61,7222/985 is 2/60085
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 61,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,985) x common factors =1 x 1 = 1
LCM(61,985) = ( 61 × 985 ) / 1
LCM(61,985) = 60085 / 1
LCM(61,985) = 60085
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 2992/61, 7222/985?
Answer: GCF of Numerators as per given numbers 2992/61, 7222/985 is
GCF of Numerators i.e. for 2992,7222 is 2
LCM of denominators i.e. for 61,985 is 60085.
Thus, GCF of Fractions is 2/60085.Finally, GCF of Fractions for 2992/61, 7222/985 is 2/60085.