GCF of 6481/208, 6880/9900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6481/208, 6880/9900 i.e 1/514800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6481/208, 6880/9900.
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 6481/208,6880/9900?
Given fractions are 6481/208,6880/9900
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 6481/208,6880/9900, numerators are 6481,6880
Denominators are 208,9900
The GCF of 6481,6880 is 1 .
LCM of 208,9900 is 514800.
The greatest common factor of 6481/208,6880/9900 = [GCF of 6481,6880]/[LCM of 208,9900]= 1/514800
Therefore, the GCF of 6481/208,6880/9900 is 1/514800.
To find the highest common factor of 6481,6880, we have to find the factors of both numbers and list the highest common factor.
The factors of 6481 are 1, 6481
The factors of 6880 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880
The HCF of 6481,6880 is 1.
Lets's calculate GCF of 6481,6880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6481,6880 By Matching Biggest Common Factor Method
Now, list down the factors of 6481
:1,6481
Now, list down the factors of 6880
:1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880
Greatest Common Factor
We found the factors 6481,6880 . The biggest common factor number is the GCF number.
So the greatest common factor 6481,6880 is 1.
Lets's calculate LCM of 208,9900
| 2 | 208, 9900 |
| 2 | 104, 4950 |
| 52, 2475 |
∴ So the LCM of the given numbers is 2 x 2 x 52 x 2475 = 514800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/514800
Therefore, the GCF of Fractions 6481/208,6880/9900 is 1/514800
Least Common Multiple of 208,9900 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 208,9900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,9900) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(208,9900) x common factors =4 x 1 = 4
LCM(208,9900) = ( 208 × 9900 ) / 4
LCM(208,9900) = 2059200 / 4
LCM(208,9900) = 514800
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FAQs on GCF of Fractions of 6481/208, 6880/9900
1. What is the HCF of 6481,6880?
The HCF of 6481,6880 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 6481/208, 6880/9900?
Answer: GCF of Numerators as per given numbers 6481/208, 6880/9900 is
GCF of Numerators i.e. for 6481,6880 is 1
LCM of denominators i.e. for 208,9900 is 514800.
Thus, GCF of Fractions is 1/514800.Finally, GCF of Fractions for 6481/208, 6880/9900 is 1/514800.