GCF of 4520/369, 4859/966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4520/369, 4859/966 i.e 113/118818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4520/369, 4859/966.
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 4520/369,4859/966?
Given fractions are 4520/369,4859/966
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 4520/369,4859/966, numerators are 4520,4859
Denominators are 369,966
The GCF of 4520,4859 is 113 .
LCM of 369,966 is 118818.
The greatest common factor of 4520/369,4859/966 = [GCF of 4520,4859]/[LCM of 369,966]= 113/118818
Therefore, the GCF of 4520/369,4859/966 is 113/118818.
To find the highest common factor of 4520,4859, we have to find the factors of both numbers and list the highest common factor.
The factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520
The factors of 4859 are 1, 43, 113, 4859
The HCF of 4520,4859 is 113.
Lets's calculate GCF of 4520,4859
| 113 | 4520, 4859 |
| 40, 43 |
∴ So the GCF of the given numbers is 113 = 113
Greatest Common Factor of 4520,4859 By Matching Biggest Common Factor Method
Now, list down the factors of 4520
:1,2,4,5,8,10,20,40,113,226,452,565,904,1130,2260,4520
Now, list down the factors of 4859
:1,43,113,4859
Greatest Common Factor
We found the factors 4520,4859 . The biggest common factor number is the GCF number.
So the greatest common factor 4520,4859 is 113.
Lets's calculate LCM of 369,966
| 3 | 369, 966 |
| 123, 322 |
∴ So the LCM of the given numbers is 3 x 123 x 322 = 118818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/118818
Therefore, the GCF of Fractions 4520/369,4859/966 is 113/118818
Least Common Multiple of 369,966 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 369,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,966) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(369,966) x common factors =3 x 1 = 3
LCM(369,966) = ( 369 × 966 ) / 3
LCM(369,966) = 356454 / 3
LCM(369,966) = 118818
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FAQs on GCF of Fractions of 4520/369, 4859/966
1. What is the HCF of 4520,4859?
The HCF of 4520,4859 is 113
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 4520/369, 4859/966?
Answer: GCF of Numerators as per given numbers 4520/369, 4859/966 is
GCF of Numerators i.e. for 4520,4859 is 113
LCM of denominators i.e. for 369,966 is 118818.
Thus, GCF of Fractions is 113/118818.Finally, GCF of Fractions for 4520/369, 4859/966 is 113/118818.