GCF of 5085/537, 8345/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5085/537, 8345/900 i.e 5/161100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5085/537, 8345/900.
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 5085/537,8345/900?
Given fractions are 5085/537,8345/900
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 5085/537,8345/900, numerators are 5085,8345
Denominators are 537,900
The GCF of 5085,8345 is 5 .
LCM of 537,900 is 161100.
The greatest common factor of 5085/537,8345/900 = [GCF of 5085,8345]/[LCM of 537,900]= 5/161100
Therefore, the GCF of 5085/537,8345/900 is 5/161100.
To find the highest common factor of 5085,8345, we have to find the factors of both numbers and list the highest common factor.
The factors of 5085 are 1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085
The factors of 8345 are 1, 5, 1669, 8345
The HCF of 5085,8345 is 5.
Lets's calculate GCF of 5085,8345
| 5 | 5085, 8345 |
| 1017, 1669 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5085,8345 By Matching Biggest Common Factor Method
Now, list down the factors of 5085
:1,3,5,9,15,45,113,339,565,1017,1695,5085
Now, list down the factors of 8345
:1,5,1669,8345
Greatest Common Factor
We found the factors 5085,8345 . The biggest common factor number is the GCF number.
So the greatest common factor 5085,8345 is 5.
Lets's calculate LCM of 537,900
| 3 | 537, 900 |
| 179, 300 |
∴ So the LCM of the given numbers is 3 x 179 x 300 = 161100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/161100
Therefore, the GCF of Fractions 5085/537,8345/900 is 5/161100
Least Common Multiple of 537,900 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 537,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,900) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(537,900) x common factors =3 x 1 = 3
LCM(537,900) = ( 537 × 900 ) / 3
LCM(537,900) = 483300 / 3
LCM(537,900) = 161100
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FAQs on GCF of Fractions of 5085/537, 8345/900
1. What is the HCF of 5085,8345?
The HCF of 5085,8345 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 5085/537, 8345/900?
Answer: GCF of Numerators as per given numbers 5085/537, 8345/900 is
GCF of Numerators i.e. for 5085,8345 is 5
LCM of denominators i.e. for 537,900 is 161100.
Thus, GCF of Fractions is 5/161100.Finally, GCF of Fractions for 5085/537, 8345/900 is 5/161100.