GCF of 8903/270, 7258/8523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8903/270, 7258/8523 i.e 1/255690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8903/270, 7258/8523.
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 8903/270,7258/8523?
Given fractions are 8903/270,7258/8523
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 8903/270,7258/8523, numerators are 8903,7258
Denominators are 270,8523
The GCF of 8903,7258 is 1 .
LCM of 270,8523 is 255690.
The greatest common factor of 8903/270,7258/8523 = [GCF of 8903,7258]/[LCM of 270,8523]= 1/255690
Therefore, the GCF of 8903/270,7258/8523 is 1/255690.
To find the highest common factor of 8903,7258, we have to find the factors of both numbers and list the highest common factor.
The factors of 8903 are 1, 29, 307, 8903
The factors of 7258 are 1, 2, 19, 38, 191, 382, 3629, 7258
The HCF of 8903,7258 is 1.
Lets's calculate GCF of 8903,7258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8903,7258 By Matching Biggest Common Factor Method
Now, list down the factors of 8903
:1,29,307,8903
Now, list down the factors of 7258
:1,2,19,38,191,382,3629,7258
Greatest Common Factor
We found the factors 8903,7258 . The biggest common factor number is the GCF number.
So the greatest common factor 8903,7258 is 1.
Lets's calculate LCM of 270,8523
| 3 | 270, 8523 |
| 3 | 90, 2841 |
| 30, 947 |
∴ So the LCM of the given numbers is 3 x 3 x 30 x 947 = 255690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255690
Therefore, the GCF of Fractions 8903/270,7258/8523 is 1/255690
Least Common Multiple of 270,8523 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 270,8523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,8523) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(270,8523) x common factors =9 x 1 = 9
LCM(270,8523) = ( 270 × 8523 ) / 9
LCM(270,8523) = 2301210 / 9
LCM(270,8523) = 255690
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8903/270, 7258/8523
1. What is the HCF of 8903,7258?
The HCF of 8903,7258 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 8903/270, 7258/8523?
Answer: GCF of Numerators as per given numbers 8903/270, 7258/8523 is
GCF of Numerators i.e. for 8903,7258 is 1
LCM of denominators i.e. for 270,8523 is 255690.
Thus, GCF of Fractions is 1/255690.Finally, GCF of Fractions for 8903/270, 7258/8523 is 1/255690.