Use our free GCF of Fractions Calculator tool to compute the GCF of 277/335, 907/332 i.e 1/111220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 277/335, 907/332.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 277/335,907/332
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 277/335,907/332, numerators are 277,907
Denominators are 335,332
The GCF of 277,907 is 1 .
LCM of 335,332 is 111220.
The greatest common factor of 277/335,907/332 = [GCF of 277,907]/[LCM of 335,332]= 1/111220
Therefore, the GCF of 277/335,907/332 is 1/111220.
To find the highest common factor of 277,907, we have to find the factors of both numbers and list the highest common factor.
The factors of 277 are 1, 277
The factors of 907 are 1, 907
The HCF of 277,907 is 1.
Lets's calculate GCF of 277,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 277
:1,277
Now, list down the factors of 907
:1,907
Greatest Common Factor
We found the factors 277,907 . The biggest common factor number is the GCF number.
So the greatest common factor 277,907 is 1.
Lets's calculate LCM of 335,332
Given numbers has no common factors except 1. So, there LCM is their product i.e 111220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111220
Therefore, the GCF of Fractions 277/335,907/332 is 1/111220
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 335,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,332) x common factors =1 x 1 = 1
LCM(335,332) = ( 335 × 332 ) / 1
LCM(335,332) = 111220 / 1
LCM(335,332) = 111220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 277,907?
The HCF of 277,907 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 277/335, 907/332?
Answer: GCF of Numerators as per given numbers 277/335, 907/332 is
GCF of Numerators i.e. for 277,907 is 1
LCM of denominators i.e. for 335,332 is 111220.
Thus, GCF of Fractions is 1/111220.Finally, GCF of Fractions for 277/335, 907/332 is 1/111220.