Use our free GCF of Fractions Calculator tool to compute the GCF of 544/755, 157/175 i.e 1/26425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/755, 157/175.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 544/755,157/175
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 544/755,157/175, numerators are 544,157
Denominators are 755,175
The GCF of 544,157 is 1 .
LCM of 755,175 is 26425.
The greatest common factor of 544/755,157/175 = [GCF of 544,157]/[LCM of 755,175]= 1/26425
Therefore, the GCF of 544/755,157/175 is 1/26425.
To find the highest common factor of 544,157, we have to find the factors of both numbers and list the highest common factor.
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
The factors of 157 are 1, 157
The HCF of 544,157 is 1.
Lets's calculate GCF of 544,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 544
:1,2,4,8,16,17,32,34,68,136,272,544
Now, list down the factors of 157
:1,157
Greatest Common Factor
We found the factors 544,157 . The biggest common factor number is the GCF number.
So the greatest common factor 544,157 is 1.
Lets's calculate LCM of 755,175
5 | 755, 175 |
151, 35 |
∴ So the LCM of the given numbers is 5 x 151 x 35 = 26425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26425
Therefore, the GCF of Fractions 544/755,157/175 is 1/26425
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 755,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,175) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(755,175) x common factors =5 x 1 = 5
LCM(755,175) = ( 755 × 175 ) / 5
LCM(755,175) = 132125 / 5
LCM(755,175) = 26425
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 544,157?
The HCF of 544,157 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 544/755, 157/175?
Answer: GCF of Numerators as per given numbers 544/755, 157/175 is
GCF of Numerators i.e. for 544,157 is 1
LCM of denominators i.e. for 755,175 is 26425.
Thus, GCF of Fractions is 1/26425.Finally, GCF of Fractions for 544/755, 157/175 is 1/26425.