GCF of 6538/510, 8903/224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6538/510, 8903/224 i.e 1/57120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6538/510, 8903/224.
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 6538/510,8903/224?
Given fractions are 6538/510,8903/224
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 6538/510,8903/224, numerators are 6538,8903
Denominators are 510,224
The GCF of 6538,8903 is 1 .
LCM of 510,224 is 57120.
The greatest common factor of 6538/510,8903/224 = [GCF of 6538,8903]/[LCM of 510,224]= 1/57120
Therefore, the GCF of 6538/510,8903/224 is 1/57120.
To find the highest common factor of 6538,8903, we have to find the factors of both numbers and list the highest common factor.
The factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538
The factors of 8903 are 1, 29, 307, 8903
The HCF of 6538,8903 is 1.
Lets's calculate GCF of 6538,8903
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6538,8903 By Matching Biggest Common Factor Method
Now, list down the factors of 6538
:1,2,7,14,467,934,3269,6538
Now, list down the factors of 8903
:1,29,307,8903
Greatest Common Factor
We found the factors 6538,8903 . The biggest common factor number is the GCF number.
So the greatest common factor 6538,8903 is 1.
Lets's calculate LCM of 510,224
| 2 | 510, 224 |
| 255, 112 |
∴ So the LCM of the given numbers is 2 x 255 x 112 = 57120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57120
Therefore, the GCF of Fractions 6538/510,8903/224 is 1/57120
Least Common Multiple of 510,224 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 510,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,224) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(510,224) x common factors =2 x 1 = 2
LCM(510,224) = ( 510 × 224 ) / 2
LCM(510,224) = 114240 / 2
LCM(510,224) = 57120
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FAQs on GCF of Fractions of 6538/510, 8903/224
1. What is the HCF of 6538,8903?
The HCF of 6538,8903 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 6538/510, 8903/224?
Answer: GCF of Numerators as per given numbers 6538/510, 8903/224 is
GCF of Numerators i.e. for 6538,8903 is 1
LCM of denominators i.e. for 510,224 is 57120.
Thus, GCF of Fractions is 1/57120.Finally, GCF of Fractions for 6538/510, 8903/224 is 1/57120.