Use our free GCF of Fractions Calculator tool to compute the GCF of 139/984, 811/355 i.e 1/349320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 139/984, 811/355.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 139/984,811/355
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 139/984,811/355, numerators are 139,811
Denominators are 984,355
The GCF of 139,811 is 1 .
LCM of 984,355 is 349320.
The greatest common factor of 139/984,811/355 = [GCF of 139,811]/[LCM of 984,355]= 1/349320
Therefore, the GCF of 139/984,811/355 is 1/349320.
To find the highest common factor of 139,811, 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 811 are 1, 811
The HCF of 139,811 is 1.
Lets's calculate GCF of 139,811
∴ 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 811
:1,811
Greatest Common Factor
We found the factors 139,811 . The biggest common factor number is the GCF number.
So the greatest common factor 139,811 is 1.
Lets's calculate LCM of 984,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 349320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349320
Therefore, the GCF of Fractions 139/984,811/355 is 1/349320
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 984,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(984,355) x common factors =1 x 1 = 1
LCM(984,355) = ( 984 × 355 ) / 1
LCM(984,355) = 349320 / 1
LCM(984,355) = 349320
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 139,811?
The HCF of 139,811 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 139/984, 811/355?
Answer: GCF of Numerators as per given numbers 139/984, 811/355 is
GCF of Numerators i.e. for 139,811 is 1
LCM of denominators i.e. for 984,355 is 349320.
Thus, GCF of Fractions is 1/349320.Finally, GCF of Fractions for 139/984, 811/355 is 1/349320.