Use our free GCF of Fractions Calculator tool to compute the GCF of 139/369, 590/196 i.e 1/72324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 139/369, 590/196.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 139/369,590/196
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 139/369,590/196, numerators are 139,590
Denominators are 369,196
The GCF of 139,590 is 1 .
LCM of 369,196 is 72324.
The greatest common factor of 139/369,590/196 = [GCF of 139,590]/[LCM of 369,196]= 1/72324
Therefore, the GCF of 139/369,590/196 is 1/72324.
To find the highest common factor of 139,590, we have to find the factors of both numbers and list the highest common factor.
The factors of 139 are 1, 139
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The HCF of 139,590 is 1.
Lets's calculate GCF of 139,590
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 139
:1,139
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 139,590 . The biggest common factor number is the GCF number.
So the greatest common factor 139,590 is 1.
Lets's calculate LCM of 369,196
Given numbers has no common factors except 1. So, there LCM is their product i.e 72324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72324
Therefore, the GCF of Fractions 139/369,590/196 is 1/72324
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 369,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,196) x common factors =1 x 1 = 1
LCM(369,196) = ( 369 × 196 ) / 1
LCM(369,196) = 72324 / 1
LCM(369,196) = 72324
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 139,590?
The HCF of 139,590 is 1
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 139/369, 590/196?
Answer: GCF of Numerators as per given numbers 139/369, 590/196 is
GCF of Numerators i.e. for 139,590 is 1
LCM of denominators i.e. for 369,196 is 72324.
Thus, GCF of Fractions is 1/72324.Finally, GCF of Fractions for 139/369, 590/196 is 1/72324.