GCF of 3479/321, 6446/5349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3479/321, 6446/5349 i.e 1/572343 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3479/321, 6446/5349.
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 3479/321,6446/5349?
Given fractions are 3479/321,6446/5349
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 3479/321,6446/5349, numerators are 3479,6446
Denominators are 321,5349
The GCF of 3479,6446 is 1 .
LCM of 321,5349 is 572343.
The greatest common factor of 3479/321,6446/5349 = [GCF of 3479,6446]/[LCM of 321,5349]= 1/572343
Therefore, the GCF of 3479/321,6446/5349 is 1/572343.
To find the highest common factor of 3479,6446, we have to find the factors of both numbers and list the highest common factor.
The factors of 3479 are 1, 7, 49, 71, 497, 3479
The factors of 6446 are 1, 2, 11, 22, 293, 586, 3223, 6446
The HCF of 3479,6446 is 1.
Lets's calculate GCF of 3479,6446
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3479,6446 By Matching Biggest Common Factor Method
Now, list down the factors of 3479
:1,7,49,71,497,3479
Now, list down the factors of 6446
:1,2,11,22,293,586,3223,6446
Greatest Common Factor
We found the factors 3479,6446 . The biggest common factor number is the GCF number.
So the greatest common factor 3479,6446 is 1.
Lets's calculate LCM of 321,5349
| 3 | 321, 5349 |
| 107, 1783 |
∴ So the LCM of the given numbers is 3 x 107 x 1783 = 572343
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/572343
Therefore, the GCF of Fractions 3479/321,6446/5349 is 1/572343
Least Common Multiple of 321,5349 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 321,5349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,5349) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,5349) x common factors =3 x 1 = 3
LCM(321,5349) = ( 321 × 5349 ) / 3
LCM(321,5349) = 1717029 / 3
LCM(321,5349) = 572343
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FAQs on GCF of Fractions of 3479/321, 6446/5349
1. What is the HCF of 3479,6446?
The HCF of 3479,6446 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 3479/321, 6446/5349?
Answer: GCF of Numerators as per given numbers 3479/321, 6446/5349 is
GCF of Numerators i.e. for 3479,6446 is 1
LCM of denominators i.e. for 321,5349 is 572343.
Thus, GCF of Fractions is 1/572343.Finally, GCF of Fractions for 3479/321, 6446/5349 is 1/572343.