Use our free GCF of Fractions Calculator tool to compute the GCF of 905/702, 202/208 i.e 1/5616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 905/702, 202/208.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 905/702,202/208
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 905/702,202/208, numerators are 905,202
Denominators are 702,208
The GCF of 905,202 is 1 .
LCM of 702,208 is 5616.
The greatest common factor of 905/702,202/208 = [GCF of 905,202]/[LCM of 702,208]= 1/5616
Therefore, the GCF of 905/702,202/208 is 1/5616.
To find the highest common factor of 905,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 905 are 1, 5, 181, 905
The factors of 202 are 1, 2, 101, 202
The HCF of 905,202 is 1.
Lets's calculate GCF of 905,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 905
:1,5,181,905
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 905,202 . The biggest common factor number is the GCF number.
So the greatest common factor 905,202 is 1.
Lets's calculate LCM of 702,208
2 | 702, 208 |
13 | 351, 104 |
27, 8 |
∴ So the LCM of the given numbers is 2 x 13 x 27 x 8 = 5616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5616
Therefore, the GCF of Fractions 905/702,202/208 is 1/5616
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 702,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,208) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(702,208) x common factors =26 x 1 = 26
LCM(702,208) = ( 702 × 208 ) / 26
LCM(702,208) = 146016 / 26
LCM(702,208) = 5616
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 905,202?
The HCF of 905,202 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 905/702, 202/208?
Answer: GCF of Numerators as per given numbers 905/702, 202/208 is
GCF of Numerators i.e. for 905,202 is 1
LCM of denominators i.e. for 702,208 is 5616.
Thus, GCF of Fractions is 1/5616.Finally, GCF of Fractions for 905/702, 202/208 is 1/5616.