GCF of 5812/170, 8903/7502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5812/170, 8903/7502 i.e 1/637670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5812/170, 8903/7502.
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 5812/170,8903/7502?
Given fractions are 5812/170,8903/7502
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 5812/170,8903/7502, numerators are 5812,8903
Denominators are 170,7502
The GCF of 5812,8903 is 1 .
LCM of 170,7502 is 637670.
The greatest common factor of 5812/170,8903/7502 = [GCF of 5812,8903]/[LCM of 170,7502]= 1/637670
Therefore, the GCF of 5812/170,8903/7502 is 1/637670.
To find the highest common factor of 5812,8903, we have to find the factors of both numbers and list the highest common factor.
The factors of 5812 are 1, 2, 4, 1453, 2906, 5812
The factors of 8903 are 1, 29, 307, 8903
The HCF of 5812,8903 is 1.
Lets's calculate GCF of 5812,8903
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5812,8903 By Matching Biggest Common Factor Method
Now, list down the factors of 5812
:1,2,4,1453,2906,5812
Now, list down the factors of 8903
:1,29,307,8903
Greatest Common Factor
We found the factors 5812,8903 . The biggest common factor number is the GCF number.
So the greatest common factor 5812,8903 is 1.
Lets's calculate LCM of 170,7502
| 2 | 170, 7502 |
| 85, 3751 |
∴ So the LCM of the given numbers is 2 x 85 x 3751 = 637670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637670
Therefore, the GCF of Fractions 5812/170,8903/7502 is 1/637670
Least Common Multiple of 170,7502 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 170,7502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,7502) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,7502) x common factors =2 x 1 = 2
LCM(170,7502) = ( 170 × 7502 ) / 2
LCM(170,7502) = 1275340 / 2
LCM(170,7502) = 637670
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5812/170, 8903/7502
1. What is the HCF of 5812,8903?
The HCF of 5812,8903 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 5812/170, 8903/7502?
Answer: GCF of Numerators as per given numbers 5812/170, 8903/7502 is
GCF of Numerators i.e. for 5812,8903 is 1
LCM of denominators i.e. for 170,7502 is 637670.
Thus, GCF of Fractions is 1/637670.Finally, GCF of Fractions for 5812/170, 8903/7502 is 1/637670.