Use our free GCF of Fractions Calculator tool to compute the GCF of 1202/923, 7855/2179 i.e 1/2011217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1202/923, 7855/2179.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1202/923,7855/2179
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 1202/923,7855/2179, numerators are 1202,7855
Denominators are 923,2179
The GCF of 1202,7855 is 1 .
LCM of 923,2179 is 2011217.
The greatest common factor of 1202/923,7855/2179 = [GCF of 1202,7855]/[LCM of 923,2179]= 1/2011217
Therefore, the GCF of 1202/923,7855/2179 is 1/2011217.
To find the highest common factor of 1202,7855, we have to find the factors of both numbers and list the highest common factor.
The factors of 1202 are 1, 2, 601, 1202
The factors of 7855 are 1, 5, 1571, 7855
The HCF of 1202,7855 is 1.
Lets's calculate GCF of 1202,7855
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1202
:1,2,601,1202
Now, list down the factors of 7855
:1,5,1571,7855
Greatest Common Factor
We found the factors 1202,7855 . The biggest common factor number is the GCF number.
So the greatest common factor 1202,7855 is 1.
Lets's calculate LCM of 923,2179
Given numbers has no common factors except 1. So, there LCM is their product i.e 2011217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2011217
Therefore, the GCF of Fractions 1202/923,7855/2179 is 1/2011217
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 923,2179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,2179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,2179) x common factors =1 x 1 = 1
LCM(923,2179) = ( 923 × 2179 ) / 1
LCM(923,2179) = 2011217 / 1
LCM(923,2179) = 2011217
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1202,7855?
The HCF of 1202,7855 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 1202/923, 7855/2179?
Answer: GCF of Numerators as per given numbers 1202/923, 7855/2179 is
GCF of Numerators i.e. for 1202,7855 is 1
LCM of denominators i.e. for 923,2179 is 2011217.
Thus, GCF of Fractions is 1/2011217.Finally, GCF of Fractions for 1202/923, 7855/2179 is 1/2011217.