GCF of 754/588, 3232/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 754/588, 3232/154 i.e 2/6468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 754/588, 3232/154.
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 754/588,3232/154?
Given fractions are 754/588,3232/154
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 754/588,3232/154, numerators are 754,3232
Denominators are 588,154
The GCF of 754,3232 is 2 .
LCM of 588,154 is 6468.
The greatest common factor of 754/588,3232/154 = [GCF of 754,3232]/[LCM of 588,154]= 2/6468
Therefore, the GCF of 754/588,3232/154 is 2/6468.
To find the highest common factor of 754,3232, we have to find the factors of both numbers and list the highest common factor.
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232
The HCF of 754,3232 is 2.
Lets's calculate GCF of 754,3232
| 2 | 754, 3232 |
| 377, 1616 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 754,3232 By Matching Biggest Common Factor Method
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Now, list down the factors of 3232
:1,2,4,8,16,32,101,202,404,808,1616,3232
Greatest Common Factor
We found the factors 754,3232 . The biggest common factor number is the GCF number.
So the greatest common factor 754,3232 is 2.
Lets's calculate LCM of 588,154
| 2 | 588, 154 |
| 7 | 294, 77 |
| 42, 11 |
∴ So the LCM of the given numbers is 2 x 7 x 42 x 11 = 6468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6468
Therefore, the GCF of Fractions 754/588,3232/154 is 2/6468
Least Common Multiple of 588,154 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 588,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,154) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(588,154) x common factors =14 x 1 = 14
LCM(588,154) = ( 588 × 154 ) / 14
LCM(588,154) = 90552 / 14
LCM(588,154) = 6468
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FAQs on GCF of Fractions of 754/588, 3232/154
1. What is the HCF of 754,3232?
The HCF of 754,3232 is 2
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 754/588, 3232/154?
Answer: GCF of Numerators as per given numbers 754/588, 3232/154 is
GCF of Numerators i.e. for 754,3232 is 2
LCM of denominators i.e. for 588,154 is 6468.
Thus, GCF of Fractions is 2/6468.Finally, GCF of Fractions for 754/588, 3232/154 is 2/6468.