Use our free GCF of Fractions Calculator tool to compute the GCF of 832/547, 988/325 i.e 52/177775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/547, 988/325.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 832/547,988/325
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 832/547,988/325, numerators are 832,988
Denominators are 547,325
The GCF of 832,988 is 52 .
LCM of 547,325 is 177775.
The greatest common factor of 832/547,988/325 = [GCF of 832,988]/[LCM of 547,325]= 52/177775
Therefore, the GCF of 832/547,988/325 is 52/177775.
To find the highest common factor of 832,988, we have to find the factors of both numbers and list the highest common factor.
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The HCF of 832,988 is 52.
Lets's calculate GCF of 832,988
2 | 832, 988 |
2 | 416, 494 |
13 | 208, 247 |
16, 19 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 832,988 . The biggest common factor number is the GCF number.
So the greatest common factor 832,988 is 52.
Lets's calculate LCM of 547,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 177775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/177775
Therefore, the GCF of Fractions 832/547,988/325 is 52/177775
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 547,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,325) x common factors =1 x 1 = 1
LCM(547,325) = ( 547 × 325 ) / 1
LCM(547,325) = 177775 / 1
LCM(547,325) = 177775
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 832,988?
The HCF of 832,988 is 52
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 832/547, 988/325?
Answer: GCF of Numerators as per given numbers 832/547, 988/325 is
GCF of Numerators i.e. for 832,988 is 52
LCM of denominators i.e. for 547,325 is 177775.
Thus, GCF of Fractions is 52/177775.Finally, GCF of Fractions for 832/547, 988/325 is 52/177775.