Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7121/196,4960/4497
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 7121,4960
Greatest Common Factor of Numerators i.e. GCF of 7121,4960 is 1 .
LCM of Denominators means LCM of 196,4497 as per the given fractions.
LCM of 196,4497 is 881412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7121,4960
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7121
List of positive integer factors of 7121 that divides 7121 without a remainder.
1,7121
Factors of 4960
List of positive integer factors of 4960 that divides 4960 without a remainder.
1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960
Greatest Common Factor
We found the factors 7121,4960 . The biggest common factor number is the GCF number.
So the greatest common factor 7121,4960 is 1.
Lets's calculate LCM of 196,4497
Given numbers has no common factors except 1. So, there LCM is their product i.e 881412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/881412
Therefore, the GCF of Fractions 7121/196,4960/4497 is 1/881412
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 196,4497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,4497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(196,4497) x common factors =1 x 1 = 1
LCM(196,4497) = ( 196 × 4497 ) / 1
LCM(196,4497) = 881412 / 1
LCM(196,4497) = 881412
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 7121/196, 4960/4497?
Answer: GCF of Numerators as per given numbers 7121/196, 4960/4497 is
GCF of Numerators i.e. for 7121,4960 is 1
LCM of denominators i.e. for 196,4497 is 881412.
Thus, GCF of Fractions is 1/881412.Finally, GCF of Fractions for 7121/196, 4960/4497 is 1/881412.