GCF of 8489/656, 7390/1804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8489/656, 7390/1804 i.e 1/7216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8489/656, 7390/1804.
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 8489/656,7390/1804?
Given fractions are 8489/656,7390/1804
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 8489/656,7390/1804, numerators are 8489,7390
Denominators are 656,1804
The GCF of 8489,7390 is 1 .
LCM of 656,1804 is 7216.
The greatest common factor of 8489/656,7390/1804 = [GCF of 8489,7390]/[LCM of 656,1804]= 1/7216
Therefore, the GCF of 8489/656,7390/1804 is 1/7216.
To find the highest common factor of 8489,7390, we have to find the factors of both numbers and list the highest common factor.
The factors of 8489 are 1, 13, 653, 8489
The factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390
The HCF of 8489,7390 is 1.
Lets's calculate GCF of 8489,7390
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8489,7390 By Matching Biggest Common Factor Method
Now, list down the factors of 8489
:1,13,653,8489
Now, list down the factors of 7390
:1,2,5,10,739,1478,3695,7390
Greatest Common Factor
We found the factors 8489,7390 . The biggest common factor number is the GCF number.
So the greatest common factor 8489,7390 is 1.
Lets's calculate LCM of 656,1804
| 2 | 656, 1804 |
| 2 | 328, 902 |
| 41 | 164, 451 |
| 4, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 4 x 11 = 7216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7216
Therefore, the GCF of Fractions 8489/656,7390/1804 is 1/7216
Least Common Multiple of 656,1804 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 656,1804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,1804) = 164
common factors(in case of two or more numbers have common factors) = 1
GCF(656,1804) x common factors =164 x 1 = 164
LCM(656,1804) = ( 656 × 1804 ) / 164
LCM(656,1804) = 1183424 / 164
LCM(656,1804) = 7216
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FAQs on GCF of Fractions of 8489/656, 7390/1804
1. What is the HCF of 8489,7390?
The HCF of 8489,7390 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 8489/656, 7390/1804?
Answer: GCF of Numerators as per given numbers 8489/656, 7390/1804 is
GCF of Numerators i.e. for 8489,7390 is 1
LCM of denominators i.e. for 656,1804 is 7216.
Thus, GCF of Fractions is 1/7216.Finally, GCF of Fractions for 8489/656, 7390/1804 is 1/7216.