Use our free GCF of Fractions Calculator tool to compute the GCF of 631/92, 102/177 i.e 1/16284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/92, 102/177.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 631/92,102/177
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 631/92,102/177, numerators are 631,102
Denominators are 92,177
The GCF of 631,102 is 1 .
LCM of 92,177 is 16284.
The greatest common factor of 631/92,102/177 = [GCF of 631,102]/[LCM of 92,177]= 1/16284
Therefore, the GCF of 631/92,102/177 is 1/16284.
To find the highest common factor of 631,102, we have to find the factors of both numbers and list the highest common factor.
The factors of 631 are 1, 631
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The HCF of 631,102 is 1.
Lets's calculate GCF of 631,102
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 631
:1,631
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 631,102 . The biggest common factor number is the GCF number.
So the greatest common factor 631,102 is 1.
Lets's calculate LCM of 92,177
Given numbers has no common factors except 1. So, there LCM is their product i.e 16284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16284
Therefore, the GCF of Fractions 631/92,102/177 is 1/16284
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 92,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,177) x common factors =1 x 1 = 1
LCM(92,177) = ( 92 × 177 ) / 1
LCM(92,177) = 16284 / 1
LCM(92,177) = 16284
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 631,102?
The HCF of 631,102 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 631/92, 102/177?
Answer: GCF of Numerators as per given numbers 631/92, 102/177 is
GCF of Numerators i.e. for 631,102 is 1
LCM of denominators i.e. for 92,177 is 16284.
Thus, GCF of Fractions is 1/16284.Finally, GCF of Fractions for 631/92, 102/177 is 1/16284.