GCF of 6421/120, 8044/4280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6421/120, 8044/4280 i.e 1/12840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6421/120, 8044/4280.
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 6421/120,8044/4280?
Given fractions are 6421/120,8044/4280
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 6421/120,8044/4280, numerators are 6421,8044
Denominators are 120,4280
The GCF of 6421,8044 is 1 .
LCM of 120,4280 is 12840.
The greatest common factor of 6421/120,8044/4280 = [GCF of 6421,8044]/[LCM of 120,4280]= 1/12840
Therefore, the GCF of 6421/120,8044/4280 is 1/12840.
To find the highest common factor of 6421,8044, we have to find the factors of both numbers and list the highest common factor.
The factors of 6421 are 1, 6421
The factors of 8044 are 1, 2, 4, 2011, 4022, 8044
The HCF of 6421,8044 is 1.
Lets's calculate GCF of 6421,8044
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6421,8044 By Matching Biggest Common Factor Method
Now, list down the factors of 6421
:1,6421
Now, list down the factors of 8044
:1,2,4,2011,4022,8044
Greatest Common Factor
We found the factors 6421,8044 . The biggest common factor number is the GCF number.
So the greatest common factor 6421,8044 is 1.
Lets's calculate LCM of 120,4280
| 2 | 120, 4280 |
| 2 | 60, 2140 |
| 2 | 30, 1070 |
| 5 | 15, 535 |
| 3, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 3 x 107 = 12840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12840
Therefore, the GCF of Fractions 6421/120,8044/4280 is 1/12840
Least Common Multiple of 120,4280 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 120,4280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,4280) = 40
common factors(in case of two or more numbers have common factors) = 1
GCF(120,4280) x common factors =40 x 1 = 40
LCM(120,4280) = ( 120 × 4280 ) / 40
LCM(120,4280) = 513600 / 40
LCM(120,4280) = 12840
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FAQs on GCF of Fractions of 6421/120, 8044/4280
1. What is the HCF of 6421,8044?
The HCF of 6421,8044 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 6421/120, 8044/4280?
Answer: GCF of Numerators as per given numbers 6421/120, 8044/4280 is
GCF of Numerators i.e. for 6421,8044 is 1
LCM of denominators i.e. for 120,4280 is 12840.
Thus, GCF of Fractions is 1/12840.Finally, GCF of Fractions for 6421/120, 8044/4280 is 1/12840.