GCF of 788/42, 591/5728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 788/42, 591/5728 i.e 197/120288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 788/42, 591/5728.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 788/42,591/5728?
Given fractions are 788/42,591/5728
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 788/42,591/5728, numerators are 788,591
Denominators are 42,5728
The GCF of 788,591 is 197 .
LCM of 42,5728 is 120288.
The greatest common factor of 788/42,591/5728 = [GCF of 788,591]/[LCM of 42,5728]= 197/120288
Therefore, the GCF of 788/42,591/5728 is 197/120288.
To find the highest common factor of 788,591, we have to find the factors of both numbers and list the highest common factor.
The factors of 788 are 1, 2, 4, 197, 394, 788
The factors of 591 are 1, 3, 197, 591
The HCF of 788,591 is 197.
Lets's calculate GCF of 788,591
| 197 | 788, 591 |
| 4, 3 |
∴ So the GCF of the given numbers is 197 = 197
Greatest Common Factor of 788,591 By Matching Biggest Common Factor Method
Now, list down the factors of 788
:1,2,4,197,394,788
Now, list down the factors of 591
:1,3,197,591
Greatest Common Factor
We found the factors 788,591 . The biggest common factor number is the GCF number.
So the greatest common factor 788,591 is 197.
Lets's calculate LCM of 42,5728
| 2 | 42, 5728 |
| 21, 2864 |
∴ So the LCM of the given numbers is 2 x 21 x 2864 = 120288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 197/120288
Therefore, the GCF of Fractions 788/42,591/5728 is 197/120288
Least Common Multiple of 42,5728 with GCF Formula
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 42,5728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,5728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,5728) x common factors =2 x 1 = 2
LCM(42,5728) = ( 42 × 5728 ) / 2
LCM(42,5728) = 240576 / 2
LCM(42,5728) = 120288
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FAQs on GCF of Fractions of 788/42, 591/5728
1. What is the HCF of 788,591?
The HCF of 788,591 is 197
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 788/42, 591/5728?
Answer: GCF of Numerators as per given numbers 788/42, 591/5728 is
GCF of Numerators i.e. for 788,591 is 197
LCM of denominators i.e. for 42,5728 is 120288.
Thus, GCF of Fractions is 197/120288.Finally, GCF of Fractions for 788/42, 591/5728 is 197/120288.