Use our free GCF of Fractions Calculator tool to compute the GCF of 117/171, 7782/4446 i.e 3/4446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 117/171, 7782/4446.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 117/171,7782/4446
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 117/171,7782/4446, numerators are 117,7782
Denominators are 171,4446
The GCF of 117,7782 is 3 .
LCM of 171,4446 is 4446.
The greatest common factor of 117/171,7782/4446 = [GCF of 117,7782]/[LCM of 171,4446]= 3/4446
Therefore, the GCF of 117/171,7782/4446 is 3/4446.
To find the highest common factor of 117,7782, we have to find the factors of both numbers and list the highest common factor.
The factors of 117 are 1, 3, 9, 13, 39, 117
The factors of 7782 are 1, 2, 3, 6, 1297, 2594, 3891, 7782
The HCF of 117,7782 is 3.
Lets's calculate GCF of 117,7782
3 | 117, 7782 |
39, 2594 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 117
:1,3,9,13,39,117
Now, list down the factors of 7782
:1,2,3,6,1297,2594,3891,7782
Greatest Common Factor
We found the factors 117,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 117,7782 is 3.
Lets's calculate LCM of 171,4446
3 | 171, 4446 |
3 | 57, 1482 |
19 | 19, 494 |
1, 26 |
∴ So the LCM of the given numbers is 3 x 3 x 19 x 1 x 26 = 4446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4446
Therefore, the GCF of Fractions 117/171,7782/4446 is 3/4446
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 171,4446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,4446) = 171
common factors(in case of two or more numbers have common factors) = 1
GCF(171,4446) x common factors =171 x 1 = 171
LCM(171,4446) = ( 171 × 4446 ) / 171
LCM(171,4446) = 760266 / 171
LCM(171,4446) = 4446
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 117,7782?
The HCF of 117,7782 is 3
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 117/171, 7782/4446?
Answer: GCF of Numerators as per given numbers 117/171, 7782/4446 is
GCF of Numerators i.e. for 117,7782 is 3
LCM of denominators i.e. for 171,4446 is 4446.
Thus, GCF of Fractions is 3/4446.Finally, GCF of Fractions for 117/171, 7782/4446 is 3/4446.