Use our free GCF of Fractions Calculator tool to compute the GCF of 838/102, 278/725 i.e 2/73950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 838/102, 278/725.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 838/102,278/725
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 838/102,278/725, numerators are 838,278
Denominators are 102,725
The GCF of 838,278 is 2 .
LCM of 102,725 is 73950.
The greatest common factor of 838/102,278/725 = [GCF of 838,278]/[LCM of 102,725]= 2/73950
Therefore, the GCF of 838/102,278/725 is 2/73950.
To find the highest common factor of 838,278, we have to find the factors of both numbers and list the highest common factor.
The factors of 838 are 1, 2, 419, 838
The factors of 278 are 1, 2, 139, 278
The HCF of 838,278 is 2.
Lets's calculate GCF of 838,278
2 | 838, 278 |
419, 139 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 278
:1,2,139,278
Greatest Common Factor
We found the factors 838,278 . The biggest common factor number is the GCF number.
So the greatest common factor 838,278 is 2.
Lets's calculate LCM of 102,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 73950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73950
Therefore, the GCF of Fractions 838/102,278/725 is 2/73950
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 102,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(102,725) x common factors =1 x 1 = 1
LCM(102,725) = ( 102 × 725 ) / 1
LCM(102,725) = 73950 / 1
LCM(102,725) = 73950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 838,278?
The HCF of 838,278 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 838/102, 278/725?
Answer: GCF of Numerators as per given numbers 838/102, 278/725 is
GCF of Numerators i.e. for 838,278 is 2
LCM of denominators i.e. for 102,725 is 73950.
Thus, GCF of Fractions is 2/73950.Finally, GCF of Fractions for 838/102, 278/725 is 2/73950.