Use our free GCF of Fractions Calculator tool to compute the GCF of 242/298, 980/339 i.e 2/101022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 242/298, 980/339.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 242/298,980/339
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 242/298,980/339, numerators are 242,980
Denominators are 298,339
The GCF of 242,980 is 2 .
LCM of 298,339 is 101022.
The greatest common factor of 242/298,980/339 = [GCF of 242,980]/[LCM of 298,339]= 2/101022
Therefore, the GCF of 242/298,980/339 is 2/101022.
To find the highest common factor of 242,980, we have to find the factors of both numbers and list the highest common factor.
The factors of 242 are 1, 2, 11, 22, 121, 242
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
The HCF of 242,980 is 2.
Lets's calculate GCF of 242,980
2 | 242, 980 |
121, 490 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 242
:1,2,11,22,121,242
Now, list down the factors of 980
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 242,980 . The biggest common factor number is the GCF number.
So the greatest common factor 242,980 is 2.
Lets's calculate LCM of 298,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 101022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/101022
Therefore, the GCF of Fractions 242/298,980/339 is 2/101022
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 298,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,339) x common factors =1 x 1 = 1
LCM(298,339) = ( 298 × 339 ) / 1
LCM(298,339) = 101022 / 1
LCM(298,339) = 101022
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 242,980?
The HCF of 242,980 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 242/298, 980/339?
Answer: GCF of Numerators as per given numbers 242/298, 980/339 is
GCF of Numerators i.e. for 242,980 is 2
LCM of denominators i.e. for 298,339 is 101022.
Thus, GCF of Fractions is 2/101022.Finally, GCF of Fractions for 242/298, 980/339 is 2/101022.