Use our free GCF of Fractions Calculator tool to compute the GCF of 925/755, 531/242 i.e 1/182710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 925/755, 531/242.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/755,531/242
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 925/755,531/242, numerators are 925,531
Denominators are 755,242
The GCF of 925,531 is 1 .
LCM of 755,242 is 182710.
The greatest common factor of 925/755,531/242 = [GCF of 925,531]/[LCM of 755,242]= 1/182710
Therefore, the GCF of 925/755,531/242 is 1/182710.
To find the highest common factor of 925,531, we have to find the factors of both numbers and list the highest common factor.
The factors of 925 are 1, 5, 25, 37, 185, 925
The factors of 531 are 1, 3, 9, 59, 177, 531
The HCF of 925,531 is 1.
Lets's calculate GCF of 925,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 925
:1,5,25,37,185,925
Now, list down the factors of 531
:1,3,9,59,177,531
Greatest Common Factor
We found the factors 925,531 . The biggest common factor number is the GCF number.
So the greatest common factor 925,531 is 1.
Lets's calculate LCM of 755,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 182710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182710
Therefore, the GCF of Fractions 925/755,531/242 is 1/182710
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 755,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,242) x common factors =1 x 1 = 1
LCM(755,242) = ( 755 × 242 ) / 1
LCM(755,242) = 182710 / 1
LCM(755,242) = 182710
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 925,531?
The HCF of 925,531 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 925/755, 531/242?
Answer: GCF of Numerators as per given numbers 925/755, 531/242 is
GCF of Numerators i.e. for 925,531 is 1
LCM of denominators i.e. for 755,242 is 182710.
Thus, GCF of Fractions is 1/182710.Finally, GCF of Fractions for 925/755, 531/242 is 1/182710.