Use our free GCF of Fractions Calculator tool to compute the GCF of 792/430, 132/988 i.e 132/212420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/430, 132/988.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 792/430,132/988
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 792/430,132/988, numerators are 792,132
Denominators are 430,988
The GCF of 792,132 is 132 .
LCM of 430,988 is 212420.
The greatest common factor of 792/430,132/988 = [GCF of 792,132]/[LCM of 430,988]= 132/212420
Therefore, the GCF of 792/430,132/988 is 132/212420.
To find the highest common factor of 792,132, we have to find the factors of both numbers and list the highest common factor.
The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The HCF of 792,132 is 132.
Lets's calculate GCF of 792,132
2 | 792, 132 |
2 | 396, 66 |
3 | 198, 33 |
11 | 66, 11 |
6, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132
Now, list down the factors of 792
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 792,132 . The biggest common factor number is the GCF number.
So the greatest common factor 792,132 is 132.
Lets's calculate LCM of 430,988
2 | 430, 988 |
215, 494 |
∴ So the LCM of the given numbers is 2 x 215 x 494 = 212420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/212420
Therefore, the GCF of Fractions 792/430,132/988 is 132/212420
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 430,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,988) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,988) x common factors =2 x 1 = 2
LCM(430,988) = ( 430 × 988 ) / 2
LCM(430,988) = 424840 / 2
LCM(430,988) = 212420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 792,132?
The HCF of 792,132 is 132
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 792/430, 132/988?
Answer: GCF of Numerators as per given numbers 792/430, 132/988 is
GCF of Numerators i.e. for 792,132 is 132
LCM of denominators i.e. for 430,988 is 212420.
Thus, GCF of Fractions is 132/212420.Finally, GCF of Fractions for 792/430, 132/988 is 132/212420.