GCF of 7652/408, 4402/7455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7652/408, 4402/7455 i.e 2/1013880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7652/408, 4402/7455.
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 7652/408,4402/7455?
Given fractions are 7652/408,4402/7455
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 7652/408,4402/7455, numerators are 7652,4402
Denominators are 408,7455
The GCF of 7652,4402 is 2 .
LCM of 408,7455 is 1013880.
The greatest common factor of 7652/408,4402/7455 = [GCF of 7652,4402]/[LCM of 408,7455]= 2/1013880
Therefore, the GCF of 7652/408,4402/7455 is 2/1013880.
To find the highest common factor of 7652,4402, we have to find the factors of both numbers and list the highest common factor.
The factors of 7652 are 1, 2, 4, 1913, 3826, 7652
The factors of 4402 are 1, 2, 31, 62, 71, 142, 2201, 4402
The HCF of 7652,4402 is 2.
Lets's calculate GCF of 7652,4402
| 2 | 7652, 4402 |
| 3826, 2201 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7652,4402 By Matching Biggest Common Factor Method
Now, list down the factors of 7652
:1,2,4,1913,3826,7652
Now, list down the factors of 4402
:1,2,31,62,71,142,2201,4402
Greatest Common Factor
We found the factors 7652,4402 . The biggest common factor number is the GCF number.
So the greatest common factor 7652,4402 is 2.
Lets's calculate LCM of 408,7455
| 3 | 408, 7455 |
| 136, 2485 |
∴ So the LCM of the given numbers is 3 x 136 x 2485 = 1013880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1013880
Therefore, the GCF of Fractions 7652/408,4402/7455 is 2/1013880
Least Common Multiple of 408,7455 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 408,7455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,7455) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(408,7455) x common factors =3 x 1 = 3
LCM(408,7455) = ( 408 × 7455 ) / 3
LCM(408,7455) = 3041640 / 3
LCM(408,7455) = 1013880
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FAQs on GCF of Fractions of 7652/408, 4402/7455
1. What is the HCF of 7652,4402?
The HCF of 7652,4402 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 7652/408, 4402/7455?
Answer: GCF of Numerators as per given numbers 7652/408, 4402/7455 is
GCF of Numerators i.e. for 7652,4402 is 2
LCM of denominators i.e. for 408,7455 is 1013880.
Thus, GCF of Fractions is 2/1013880.Finally, GCF of Fractions for 7652/408, 4402/7455 is 2/1013880.