GCF of 9080/890, 6038/8985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9080/890, 6038/8985 i.e 2/1599330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9080/890, 6038/8985.
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 9080/890,6038/8985?
Given fractions are 9080/890,6038/8985
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 9080/890,6038/8985, numerators are 9080,6038
Denominators are 890,8985
The GCF of 9080,6038 is 2 .
LCM of 890,8985 is 1599330.
The greatest common factor of 9080/890,6038/8985 = [GCF of 9080,6038]/[LCM of 890,8985]= 2/1599330
Therefore, the GCF of 9080/890,6038/8985 is 2/1599330.
To find the highest common factor of 9080,6038, we have to find the factors of both numbers and list the highest common factor.
The factors of 9080 are 1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080
The factors of 6038 are 1, 2, 3019, 6038
The HCF of 9080,6038 is 2.
Lets's calculate GCF of 9080,6038
| 2 | 9080, 6038 |
| 4540, 3019 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9080,6038 By Matching Biggest Common Factor Method
Now, list down the factors of 9080
:1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080
Now, list down the factors of 6038
:1,2,3019,6038
Greatest Common Factor
We found the factors 9080,6038 . The biggest common factor number is the GCF number.
So the greatest common factor 9080,6038 is 2.
Lets's calculate LCM of 890,8985
| 5 | 890, 8985 |
| 178, 1797 |
∴ So the LCM of the given numbers is 5 x 178 x 1797 = 1599330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1599330
Therefore, the GCF of Fractions 9080/890,6038/8985 is 2/1599330
Least Common Multiple of 890,8985 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 890,8985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,8985) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(890,8985) x common factors =5 x 1 = 5
LCM(890,8985) = ( 890 × 8985 ) / 5
LCM(890,8985) = 7996650 / 5
LCM(890,8985) = 1599330
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FAQs on GCF of Fractions of 9080/890, 6038/8985
1. What is the HCF of 9080,6038?
The HCF of 9080,6038 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 9080/890, 6038/8985?
Answer: GCF of Numerators as per given numbers 9080/890, 6038/8985 is
GCF of Numerators i.e. for 9080,6038 is 2
LCM of denominators i.e. for 890,8985 is 1599330.
Thus, GCF of Fractions is 2/1599330.Finally, GCF of Fractions for 9080/890, 6038/8985 is 2/1599330.