GCF of 6342/478, 3472/480
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6342/478, 3472/480 i.e 14/114720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6342/478, 3472/480.
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 6342/478,3472/480?
Given fractions are 6342/478,3472/480
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 6342/478,3472/480, numerators are 6342,3472
Denominators are 478,480
The GCF of 6342,3472 is 14 .
LCM of 478,480 is 114720.
The greatest common factor of 6342/478,3472/480 = [GCF of 6342,3472]/[LCM of 478,480]= 14/114720
Therefore, the GCF of 6342/478,3472/480 is 14/114720.
To find the highest common factor of 6342,3472, we have to find the factors of both numbers and list the highest common factor.
The factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342
The factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472
The HCF of 6342,3472 is 14.
Lets's calculate GCF of 6342,3472
| 2 | 6342, 3472 |
| 7 | 3171, 1736 |
| 453, 248 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6342,3472 By Matching Biggest Common Factor Method
Now, list down the factors of 6342
:1,2,3,6,7,14,21,42,151,302,453,906,1057,2114,3171,6342
Now, list down the factors of 3472
:1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472
Greatest Common Factor
We found the factors 6342,3472 . The biggest common factor number is the GCF number.
So the greatest common factor 6342,3472 is 14.
Lets's calculate LCM of 478,480
| 2 | 478, 480 |
| 239, 240 |
∴ So the LCM of the given numbers is 2 x 239 x 240 = 114720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/114720
Therefore, the GCF of Fractions 6342/478,3472/480 is 14/114720
Least Common Multiple of 478,480 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 478,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,480) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,480) x common factors =2 x 1 = 2
LCM(478,480) = ( 478 × 480 ) / 2
LCM(478,480) = 229440 / 2
LCM(478,480) = 114720
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FAQs on GCF of Fractions of 6342/478, 3472/480
1. What is the HCF of 6342,3472?
The HCF of 6342,3472 is 14
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 6342/478, 3472/480?
Answer: GCF of Numerators as per given numbers 6342/478, 3472/480 is
GCF of Numerators i.e. for 6342,3472 is 14
LCM of denominators i.e. for 478,480 is 114720.
Thus, GCF of Fractions is 14/114720.Finally, GCF of Fractions for 6342/478, 3472/480 is 14/114720.