Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 122/98,528/80,573/319
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 122,528,573
Greatest Common Factor of Numerators i.e. GCF of 122,528,573 is 1 .
LCM of Denominators means LCM of 98,80,319 as per the given fractions.
LCM of 98,80,319 is 1250480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 122,528,573
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Greatest Common Factor
We found the factors 122,528,573 . The biggest common factor number is the GCF number.
So the greatest common factor 122,528,573 is 1.
Lets's calculate LCM of 98,80,319
2 | 98, 80, 319 |
49, 40, 319 |
∴ So the LCM of the given numbers is 2 x 49 x 40 x 319 = 1250480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1250480
Therefore, the GCF of Fractions 122/98,528/80,573/319 is 1/1250480
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 98,80,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,80,319) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,80,319) x common factors =1 x 2 = 2
LCM(98,80,319) = ( 98 × 80 × 319 ) / 2
LCM(98,80,319) = 2500960 / 2
LCM(98,80,319) = 1250480
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 122/98, 528/80, 573/319?
Answer: GCF of Numerators as per given numbers 122/98, 528/80, 573/319 is
GCF of Numerators i.e. for 122,528,573 is 1
LCM of denominators i.e. for 98,80,319 is 1250480.
Thus, GCF of Fractions is 1/1250480.Finally, GCF of Fractions for 122/98, 528/80, 573/319 is 1/1250480.