GCF of 9040/782, 7265/5112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9040/782, 7265/5112 i.e 5/1998792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9040/782, 7265/5112.
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 9040/782,7265/5112?
Given fractions are 9040/782,7265/5112
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 9040/782,7265/5112, numerators are 9040,7265
Denominators are 782,5112
The GCF of 9040,7265 is 5 .
LCM of 782,5112 is 1998792.
The greatest common factor of 9040/782,7265/5112 = [GCF of 9040,7265]/[LCM of 782,5112]= 5/1998792
Therefore, the GCF of 9040/782,7265/5112 is 5/1998792.
To find the highest common factor of 9040,7265, we have to find the factors of both numbers and list the highest common factor.
The factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040
The factors of 7265 are 1, 5, 1453, 7265
The HCF of 9040,7265 is 5.
Lets's calculate GCF of 9040,7265
| 5 | 9040, 7265 |
| 1808, 1453 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9040,7265 By Matching Biggest Common Factor Method
Now, list down the factors of 9040
:1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Now, list down the factors of 7265
:1,5,1453,7265
Greatest Common Factor
We found the factors 9040,7265 . The biggest common factor number is the GCF number.
So the greatest common factor 9040,7265 is 5.
Lets's calculate LCM of 782,5112
| 2 | 782, 5112 |
| 391, 2556 |
∴ So the LCM of the given numbers is 2 x 391 x 2556 = 1998792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1998792
Therefore, the GCF of Fractions 9040/782,7265/5112 is 5/1998792
Least Common Multiple of 782,5112 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 782,5112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,5112) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,5112) x common factors =2 x 1 = 2
LCM(782,5112) = ( 782 × 5112 ) / 2
LCM(782,5112) = 3997584 / 2
LCM(782,5112) = 1998792
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FAQs on GCF of Fractions of 9040/782, 7265/5112
1. What is the HCF of 9040,7265?
The HCF of 9040,7265 is 5
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 9040/782, 7265/5112?
Answer: GCF of Numerators as per given numbers 9040/782, 7265/5112 is
GCF of Numerators i.e. for 9040,7265 is 5
LCM of denominators i.e. for 782,5112 is 1998792.
Thus, GCF of Fractions is 5/1998792.Finally, GCF of Fractions for 9040/782, 7265/5112 is 5/1998792.