GCF of 3585/110, 7712/9010
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3585/110, 7712/9010 i.e 1/99110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3585/110, 7712/9010.
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 3585/110,7712/9010?
Given fractions are 3585/110,7712/9010
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 3585/110,7712/9010, numerators are 3585,7712
Denominators are 110,9010
The GCF of 3585,7712 is 1 .
LCM of 110,9010 is 99110.
The greatest common factor of 3585/110,7712/9010 = [GCF of 3585,7712]/[LCM of 110,9010]= 1/99110
Therefore, the GCF of 3585/110,7712/9010 is 1/99110.
To find the highest common factor of 3585,7712, we have to find the factors of both numbers and list the highest common factor.
The factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585
The factors of 7712 are 1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712
The HCF of 3585,7712 is 1.
Lets's calculate GCF of 3585,7712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3585,7712 By Matching Biggest Common Factor Method
Now, list down the factors of 3585
:1,3,5,15,239,717,1195,3585
Now, list down the factors of 7712
:1,2,4,8,16,32,241,482,964,1928,3856,7712
Greatest Common Factor
We found the factors 3585,7712 . The biggest common factor number is the GCF number.
So the greatest common factor 3585,7712 is 1.
Lets's calculate LCM of 110,9010
| 2 | 110, 9010 |
| 5 | 55, 4505 |
| 11, 901 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 901 = 99110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99110
Therefore, the GCF of Fractions 3585/110,7712/9010 is 1/99110
Least Common Multiple of 110,9010 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 110,9010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,9010) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(110,9010) x common factors =10 x 1 = 10
LCM(110,9010) = ( 110 × 9010 ) / 10
LCM(110,9010) = 991100 / 10
LCM(110,9010) = 99110
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FAQs on GCF of Fractions of 3585/110, 7712/9010
1. What is the HCF of 3585,7712?
The HCF of 3585,7712 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 3585/110, 7712/9010?
Answer: GCF of Numerators as per given numbers 3585/110, 7712/9010 is
GCF of Numerators i.e. for 3585,7712 is 1
LCM of denominators i.e. for 110,9010 is 99110.
Thus, GCF of Fractions is 1/99110.Finally, GCF of Fractions for 3585/110, 7712/9010 is 1/99110.