Use our free GCF of Fractions Calculator tool to compute the GCF of 627/788, 853/134 i.e 1/52796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 627/788, 853/134.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 627/788,853/134
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 627/788,853/134, numerators are 627,853
Denominators are 788,134
The GCF of 627,853 is 1 .
LCM of 788,134 is 52796.
The greatest common factor of 627/788,853/134 = [GCF of 627,853]/[LCM of 788,134]= 1/52796
Therefore, the GCF of 627/788,853/134 is 1/52796.
To find the highest common factor of 627,853, we have to find the factors of both numbers and list the highest common factor.
The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627
The factors of 853 are 1, 853
The HCF of 627,853 is 1.
Lets's calculate GCF of 627,853
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 627
:1,3,11,19,33,57,209,627
Now, list down the factors of 853
:1,853
Greatest Common Factor
We found the factors 627,853 . The biggest common factor number is the GCF number.
So the greatest common factor 627,853 is 1.
Lets's calculate LCM of 788,134
2 | 788, 134 |
394, 67 |
∴ So the LCM of the given numbers is 2 x 394 x 67 = 52796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52796
Therefore, the GCF of Fractions 627/788,853/134 is 1/52796
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 788,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(788,134) x common factors =2 x 1 = 2
LCM(788,134) = ( 788 × 134 ) / 2
LCM(788,134) = 105592 / 2
LCM(788,134) = 52796
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 627,853?
The HCF of 627,853 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 627/788, 853/134?
Answer: GCF of Numerators as per given numbers 627/788, 853/134 is
GCF of Numerators i.e. for 627,853 is 1
LCM of denominators i.e. for 788,134 is 52796.
Thus, GCF of Fractions is 1/52796.Finally, GCF of Fractions for 627/788, 853/134 is 1/52796.