GCF of 9040/918, 3440/8987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9040/918, 3440/8987 i.e 80/8250066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9040/918, 3440/8987.
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 9040/918,3440/8987?
Given fractions are 9040/918,3440/8987
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 9040/918,3440/8987, numerators are 9040,3440
Denominators are 918,8987
The GCF of 9040,3440 is 80 .
LCM of 918,8987 is 8250066.
The greatest common factor of 9040/918,3440/8987 = [GCF of 9040,3440]/[LCM of 918,8987]= 80/8250066
Therefore, the GCF of 9040/918,3440/8987 is 80/8250066.
To find the highest common factor of 9040,3440, 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 3440 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440
The HCF of 9040,3440 is 80.
Lets's calculate GCF of 9040,3440
| 2 | 9040, 3440 |
| 2 | 4520, 1720 |
| 2 | 2260, 860 |
| 2 | 1130, 430 |
| 5 | 565, 215 |
| 113, 43 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80
Greatest Common Factor of 9040,3440 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 3440
:1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440
Greatest Common Factor
We found the factors 9040,3440 . The biggest common factor number is the GCF number.
So the greatest common factor 9040,3440 is 80.
Lets's calculate LCM of 918,8987
Given numbers has no common factors except 1. So, there LCM is their product i.e 8250066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 80/8250066
Therefore, the GCF of Fractions 9040/918,3440/8987 is 80/8250066
Least Common Multiple of 918,8987 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 918,8987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,8987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(918,8987) x common factors =1 x 1 = 1
LCM(918,8987) = ( 918 × 8987 ) / 1
LCM(918,8987) = 8250066 / 1
LCM(918,8987) = 8250066
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FAQs on GCF of Fractions of 9040/918, 3440/8987
1. What is the HCF of 9040,3440?
The HCF of 9040,3440 is 80
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 9040/918, 3440/8987?
Answer: GCF of Numerators as per given numbers 9040/918, 3440/8987 is
GCF of Numerators i.e. for 9040,3440 is 80
LCM of denominators i.e. for 918,8987 is 8250066.
Thus, GCF of Fractions is 80/8250066.Finally, GCF of Fractions for 9040/918, 3440/8987 is 80/8250066.