GCF of 2035/285, 3512/8703
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2035/285, 3512/8703 i.e 1/826785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2035/285, 3512/8703.
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 2035/285,3512/8703?
Given fractions are 2035/285,3512/8703
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 2035/285,3512/8703, numerators are 2035,3512
Denominators are 285,8703
The GCF of 2035,3512 is 1 .
LCM of 285,8703 is 826785.
The greatest common factor of 2035/285,3512/8703 = [GCF of 2035,3512]/[LCM of 285,8703]= 1/826785
Therefore, the GCF of 2035/285,3512/8703 is 1/826785.
To find the highest common factor of 2035,3512, we have to find the factors of both numbers and list the highest common factor.
The factors of 2035 are 1, 5, 11, 37, 55, 185, 407, 2035
The factors of 3512 are 1, 2, 4, 8, 439, 878, 1756, 3512
The HCF of 2035,3512 is 1.
Lets's calculate GCF of 2035,3512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2035,3512 By Matching Biggest Common Factor Method
Now, list down the factors of 2035
:1,5,11,37,55,185,407,2035
Now, list down the factors of 3512
:1,2,4,8,439,878,1756,3512
Greatest Common Factor
We found the factors 2035,3512 . The biggest common factor number is the GCF number.
So the greatest common factor 2035,3512 is 1.
Lets's calculate LCM of 285,8703
| 3 | 285, 8703 |
| 95, 2901 |
∴ So the LCM of the given numbers is 3 x 95 x 2901 = 826785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/826785
Therefore, the GCF of Fractions 2035/285,3512/8703 is 1/826785
Least Common Multiple of 285,8703 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 285,8703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,8703) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(285,8703) x common factors =3 x 1 = 3
LCM(285,8703) = ( 285 × 8703 ) / 3
LCM(285,8703) = 2480355 / 3
LCM(285,8703) = 826785
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FAQs on GCF of Fractions of 2035/285, 3512/8703
1. What is the HCF of 2035,3512?
The HCF of 2035,3512 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 2035/285, 3512/8703?
Answer: GCF of Numerators as per given numbers 2035/285, 3512/8703 is
GCF of Numerators i.e. for 2035,3512 is 1
LCM of denominators i.e. for 285,8703 is 826785.
Thus, GCF of Fractions is 1/826785.Finally, GCF of Fractions for 2035/285, 3512/8703 is 1/826785.