GCF of 7425/912, 3983/6688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7425/912, 3983/6688 i.e 1/20064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7425/912, 3983/6688.
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 7425/912,3983/6688?
Given fractions are 7425/912,3983/6688
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 7425/912,3983/6688, numerators are 7425,3983
Denominators are 912,6688
The GCF of 7425,3983 is 1 .
LCM of 912,6688 is 20064.
The greatest common factor of 7425/912,3983/6688 = [GCF of 7425,3983]/[LCM of 912,6688]= 1/20064
Therefore, the GCF of 7425/912,3983/6688 is 1/20064.
To find the highest common factor of 7425,3983, we have to find the factors of both numbers and list the highest common factor.
The factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425
The factors of 3983 are 1, 7, 569, 3983
The HCF of 7425,3983 is 1.
Lets's calculate GCF of 7425,3983
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7425,3983 By Matching Biggest Common Factor Method
Now, list down the factors of 7425
:1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425
Now, list down the factors of 3983
:1,7,569,3983
Greatest Common Factor
We found the factors 7425,3983 . The biggest common factor number is the GCF number.
So the greatest common factor 7425,3983 is 1.
Lets's calculate LCM of 912,6688
| 2 | 912, 6688 |
| 2 | 456, 3344 |
| 2 | 228, 1672 |
| 2 | 114, 836 |
| 19 | 57, 418 |
| 3, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 3 x 22 = 20064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20064
Therefore, the GCF of Fractions 7425/912,3983/6688 is 1/20064
Least Common Multiple of 912,6688 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 912,6688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,6688) = 304
common factors(in case of two or more numbers have common factors) = 1
GCF(912,6688) x common factors =304 x 1 = 304
LCM(912,6688) = ( 912 × 6688 ) / 304
LCM(912,6688) = 6099456 / 304
LCM(912,6688) = 20064
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FAQs on GCF of Fractions of 7425/912, 3983/6688
1. What is the HCF of 7425,3983?
The HCF of 7425,3983 is 1
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 7425/912, 3983/6688?
Answer: GCF of Numerators as per given numbers 7425/912, 3983/6688 is
GCF of Numerators i.e. for 7425,3983 is 1
LCM of denominators i.e. for 912,6688 is 20064.
Thus, GCF of Fractions is 1/20064.Finally, GCF of Fractions for 7425/912, 3983/6688 is 1/20064.