GCF of 1288/603, 7644/424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1288/603, 7644/424 i.e 28/255672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1288/603, 7644/424.
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 1288/603,7644/424?
Given fractions are 1288/603,7644/424
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 1288/603,7644/424, numerators are 1288,7644
Denominators are 603,424
The GCF of 1288,7644 is 28 .
LCM of 603,424 is 255672.
The greatest common factor of 1288/603,7644/424 = [GCF of 1288,7644]/[LCM of 603,424]= 28/255672
Therefore, the GCF of 1288/603,7644/424 is 28/255672.
To find the highest common factor of 1288,7644, we have to find the factors of both numbers and list the highest common factor.
The factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288
The factors of 7644 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 364, 546, 588, 637, 1092, 1274, 1911, 2548, 3822, 7644
The HCF of 1288,7644 is 28.
Lets's calculate GCF of 1288,7644
| 2 | 1288, 7644 |
| 2 | 644, 3822 |
| 7 | 322, 1911 |
| 46, 273 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 1288,7644 By Matching Biggest Common Factor Method
Now, list down the factors of 1288
:1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288
Now, list down the factors of 7644
:1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644
Greatest Common Factor
We found the factors 1288,7644 . The biggest common factor number is the GCF number.
So the greatest common factor 1288,7644 is 28.
Lets's calculate LCM of 603,424
Given numbers has no common factors except 1. So, there LCM is their product i.e 255672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/255672
Therefore, the GCF of Fractions 1288/603,7644/424 is 28/255672
Least Common Multiple of 603,424 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 603,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,424) x common factors =1 x 1 = 1
LCM(603,424) = ( 603 × 424 ) / 1
LCM(603,424) = 255672 / 1
LCM(603,424) = 255672
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FAQs on GCF of Fractions of 1288/603, 7644/424
1. What is the HCF of 1288,7644?
The HCF of 1288,7644 is 28
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 1288/603, 7644/424?
Answer: GCF of Numerators as per given numbers 1288/603, 7644/424 is
GCF of Numerators i.e. for 1288,7644 is 28
LCM of denominators i.e. for 603,424 is 255672.
Thus, GCF of Fractions is 28/255672.Finally, GCF of Fractions for 1288/603, 7644/424 is 28/255672.