GCF of 6478/502, 1689/3420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6478/502, 1689/3420 i.e 1/858420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6478/502, 1689/3420.
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 6478/502,1689/3420?
Given fractions are 6478/502,1689/3420
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 6478/502,1689/3420, numerators are 6478,1689
Denominators are 502,3420
The GCF of 6478,1689 is 1 .
LCM of 502,3420 is 858420.
The greatest common factor of 6478/502,1689/3420 = [GCF of 6478,1689]/[LCM of 502,3420]= 1/858420
Therefore, the GCF of 6478/502,1689/3420 is 1/858420.
To find the highest common factor of 6478,1689, we have to find the factors of both numbers and list the highest common factor.
The factors of 6478 are 1, 2, 41, 79, 82, 158, 3239, 6478
The factors of 1689 are 1, 3, 563, 1689
The HCF of 6478,1689 is 1.
Lets's calculate GCF of 6478,1689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6478,1689 By Matching Biggest Common Factor Method
Now, list down the factors of 6478
:1,2,41,79,82,158,3239,6478
Now, list down the factors of 1689
:1,3,563,1689
Greatest Common Factor
We found the factors 6478,1689 . The biggest common factor number is the GCF number.
So the greatest common factor 6478,1689 is 1.
Lets's calculate LCM of 502,3420
| 2 | 502, 3420 |
| 251, 1710 |
∴ So the LCM of the given numbers is 2 x 251 x 1710 = 858420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/858420
Therefore, the GCF of Fractions 6478/502,1689/3420 is 1/858420
Least Common Multiple of 502,3420 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 502,3420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,3420) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,3420) x common factors =2 x 1 = 2
LCM(502,3420) = ( 502 × 3420 ) / 2
LCM(502,3420) = 1716840 / 2
LCM(502,3420) = 858420
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FAQs on GCF of Fractions of 6478/502, 1689/3420
1. What is the HCF of 6478,1689?
The HCF of 6478,1689 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 6478/502, 1689/3420?
Answer: GCF of Numerators as per given numbers 6478/502, 1689/3420 is
GCF of Numerators i.e. for 6478,1689 is 1
LCM of denominators i.e. for 502,3420 is 858420.
Thus, GCF of Fractions is 1/858420.Finally, GCF of Fractions for 6478/502, 1689/3420 is 1/858420.