GCF of 24/655, 762/655, 664/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 24/655, 762/655, 664/584 i.e 2/382520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/655, 762/655, 664/584.
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 24/655,762/655,664/584?
Given fractions are 24/655,762/655,664/584
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 24/655,762/655,664/584, numerators are 24,762,664
Denominators are 655,655,584
The GCF of 24,762,664 is 2 .
LCM of 655,655,584 is 382520.
The greatest common factor of 24/655,762/655,664/584 = [GCF of 24,762,664]/[LCM of 655,655,584]= 2/382520
Therefore, the GCF of 24/655,762/655,664/584 is 2/382520.
To find the highest common factor of 24,762,664, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The HCF of 24,762,664 is 2.
Lets's calculate GCF of 24,762,664
| 2 | 24, 762, 664 |
| 12, 381, 332 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 24,762,664 By Matching Biggest Common Factor Method
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 24,762,664 . The biggest common factor number is the GCF number.
So the greatest common factor 24,762,664 is 2.
Lets's calculate LCM of 655,655,584
| 5 | 655, 655, 584 |
| 131 | 131, 131, 584 |
| 1, 1, 584 |
∴ So the LCM of the given numbers is 5 x 131 x 1 x 1 x 584 = 382520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/382520
Therefore, the GCF of Fractions 24/655,762/655,664/584 is 2/382520
Least Common Multiple of 655,655,584 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 655,655,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,655,584) = 1
common factors(in case of two or more numbers have common factors) = 655
GCF(655,655,584) x common factors =1 x 655 = 655
LCM(655,655,584) = ( 655 × 655 × 584 ) / 655
LCM(655,655,584) = 250550600 / 655
LCM(655,655,584) = 382520
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 24/655, 762/655, 664/584
1. What is the HCF of 24,762,664?
The HCF of 24,762,664 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 24/655, 762/655, 664/584?
Answer: GCF of Numerators as per given numbers 24/655, 762/655, 664/584 is
GCF of Numerators i.e. for 24,762,664 is 2
LCM of denominators i.e. for 655,655,584 is 382520.
Thus, GCF of Fractions is 2/382520.Finally, GCF of Fractions for 24/655, 762/655, 664/584 is 2/382520.