GCF of 8281/220, 8514/7777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8281/220, 8514/7777 i.e 1/155540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8281/220, 8514/7777.
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 8281/220,8514/7777?
Given fractions are 8281/220,8514/7777
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 8281/220,8514/7777, numerators are 8281,8514
Denominators are 220,7777
The GCF of 8281,8514 is 1 .
LCM of 220,7777 is 155540.
The greatest common factor of 8281/220,8514/7777 = [GCF of 8281,8514]/[LCM of 220,7777]= 1/155540
Therefore, the GCF of 8281/220,8514/7777 is 1/155540.
To find the highest common factor of 8281,8514, we have to find the factors of both numbers and list the highest common factor.
The factors of 8281 are 1, 7, 13, 49, 91, 169, 637, 1183, 8281
The factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514
The HCF of 8281,8514 is 1.
Lets's calculate GCF of 8281,8514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8281,8514 By Matching Biggest Common Factor Method
Now, list down the factors of 8281
:1,7,13,49,91,169,637,1183,8281
Now, list down the factors of 8514
:1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514
Greatest Common Factor
We found the factors 8281,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 8281,8514 is 1.
Lets's calculate LCM of 220,7777
| 11 | 220, 7777 |
| 20, 707 |
∴ So the LCM of the given numbers is 11 x 20 x 707 = 155540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155540
Therefore, the GCF of Fractions 8281/220,8514/7777 is 1/155540
Least Common Multiple of 220,7777 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 220,7777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,7777) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(220,7777) x common factors =11 x 1 = 11
LCM(220,7777) = ( 220 × 7777 ) / 11
LCM(220,7777) = 1710940 / 11
LCM(220,7777) = 155540
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FAQs on GCF of Fractions of 8281/220, 8514/7777
1. What is the HCF of 8281,8514?
The HCF of 8281,8514 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 8281/220, 8514/7777?
Answer: GCF of Numerators as per given numbers 8281/220, 8514/7777 is
GCF of Numerators i.e. for 8281,8514 is 1
LCM of denominators i.e. for 220,7777 is 155540.
Thus, GCF of Fractions is 1/155540.Finally, GCF of Fractions for 8281/220, 8514/7777 is 1/155540.