Use our free GCF of Fractions Calculator tool to compute the GCF of 157/277, 715/838 i.e 1/232126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 157/277, 715/838.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 157/277,715/838
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 157/277,715/838, numerators are 157,715
Denominators are 277,838
The GCF of 157,715 is 1 .
LCM of 277,838 is 232126.
The greatest common factor of 157/277,715/838 = [GCF of 157,715]/[LCM of 277,838]= 1/232126
Therefore, the GCF of 157/277,715/838 is 1/232126.
To find the highest common factor of 157,715, we have to find the factors of both numbers and list the highest common factor.
The factors of 157 are 1, 157
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The HCF of 157,715 is 1.
Lets's calculate GCF of 157,715
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 157
:1,157
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 157,715 . The biggest common factor number is the GCF number.
So the greatest common factor 157,715 is 1.
Lets's calculate LCM of 277,838
Given numbers has no common factors except 1. So, there LCM is their product i.e 232126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232126
Therefore, the GCF of Fractions 157/277,715/838 is 1/232126
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 277,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,838) x common factors =1 x 1 = 1
LCM(277,838) = ( 277 × 838 ) / 1
LCM(277,838) = 232126 / 1
LCM(277,838) = 232126
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 157,715?
The HCF of 157,715 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 157/277, 715/838?
Answer: GCF of Numerators as per given numbers 157/277, 715/838 is
GCF of Numerators i.e. for 157,715 is 1
LCM of denominators i.e. for 277,838 is 232126.
Thus, GCF of Fractions is 1/232126.Finally, GCF of Fractions for 157/277, 715/838 is 1/232126.