GCF of 4242/477, 4256/362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4242/477, 4256/362 i.e 14/172674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4242/477, 4256/362.
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 4242/477,4256/362?
Given fractions are 4242/477,4256/362
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 4242/477,4256/362, numerators are 4242,4256
Denominators are 477,362
The GCF of 4242,4256 is 14 .
LCM of 477,362 is 172674.
The greatest common factor of 4242/477,4256/362 = [GCF of 4242,4256]/[LCM of 477,362]= 14/172674
Therefore, the GCF of 4242/477,4256/362 is 14/172674.
To find the highest common factor of 4242,4256, we have to find the factors of both numbers and list the highest common factor.
The factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242
The factors of 4256 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256
The HCF of 4242,4256 is 14.
Lets's calculate GCF of 4242,4256
| 2 | 4242, 4256 |
| 7 | 2121, 2128 |
| 303, 304 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4242,4256 By Matching Biggest Common Factor Method
Now, list down the factors of 4242
:1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242
Now, list down the factors of 4256
:1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256
Greatest Common Factor
We found the factors 4242,4256 . The biggest common factor number is the GCF number.
So the greatest common factor 4242,4256 is 14.
Lets's calculate LCM of 477,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 172674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/172674
Therefore, the GCF of Fractions 4242/477,4256/362 is 14/172674
Least Common Multiple of 477,362 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 477,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,362) x common factors =1 x 1 = 1
LCM(477,362) = ( 477 × 362 ) / 1
LCM(477,362) = 172674 / 1
LCM(477,362) = 172674
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FAQs on GCF of Fractions of 4242/477, 4256/362
1. What is the HCF of 4242,4256?
The HCF of 4242,4256 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 4242/477, 4256/362?
Answer: GCF of Numerators as per given numbers 4242/477, 4256/362 is
GCF of Numerators i.e. for 4242,4256 is 14
LCM of denominators i.e. for 477,362 is 172674.
Thus, GCF of Fractions is 14/172674.Finally, GCF of Fractions for 4242/477, 4256/362 is 14/172674.