Use our free GCF of Fractions Calculator tool to compute the GCF of 187/760, 969/755 i.e 17/114760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/760, 969/755.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 187/760,969/755
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 187/760,969/755, numerators are 187,969
Denominators are 760,755
The GCF of 187,969 is 17 .
LCM of 760,755 is 114760.
The greatest common factor of 187/760,969/755 = [GCF of 187,969]/[LCM of 760,755]= 17/114760
Therefore, the GCF of 187/760,969/755 is 17/114760.
To find the highest common factor of 187,969, we have to find the factors of both numbers and list the highest common factor.
The factors of 187 are 1, 11, 17, 187
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The HCF of 187,969 is 17.
Lets's calculate GCF of 187,969
17 | 187, 969 |
11, 57 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 187
:1,11,17,187
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 187,969 . The biggest common factor number is the GCF number.
So the greatest common factor 187,969 is 17.
Lets's calculate LCM of 760,755
5 | 760, 755 |
152, 151 |
∴ So the LCM of the given numbers is 5 x 152 x 151 = 114760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/114760
Therefore, the GCF of Fractions 187/760,969/755 is 17/114760
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 760,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,755) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(760,755) x common factors =5 x 1 = 5
LCM(760,755) = ( 760 × 755 ) / 5
LCM(760,755) = 573800 / 5
LCM(760,755) = 114760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 187,969?
The HCF of 187,969 is 17
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 187/760, 969/755?
Answer: GCF of Numerators as per given numbers 187/760, 969/755 is
GCF of Numerators i.e. for 187,969 is 17
LCM of denominators i.e. for 760,755 is 114760.
Thus, GCF of Fractions is 17/114760.Finally, GCF of Fractions for 187/760, 969/755 is 17/114760.