GCF of 4912/328, 4042/3848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4912/328, 4042/3848 i.e 2/157768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4912/328, 4042/3848.
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 4912/328,4042/3848?
Given fractions are 4912/328,4042/3848
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 4912/328,4042/3848, numerators are 4912,4042
Denominators are 328,3848
The GCF of 4912,4042 is 2 .
LCM of 328,3848 is 157768.
The greatest common factor of 4912/328,4042/3848 = [GCF of 4912,4042]/[LCM of 328,3848]= 2/157768
Therefore, the GCF of 4912/328,4042/3848 is 2/157768.
To find the highest common factor of 4912,4042, we have to find the factors of both numbers and list the highest common factor.
The factors of 4912 are 1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912
The factors of 4042 are 1, 2, 43, 47, 86, 94, 2021, 4042
The HCF of 4912,4042 is 2.
Lets's calculate GCF of 4912,4042
| 2 | 4912, 4042 |
| 2456, 2021 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4912,4042 By Matching Biggest Common Factor Method
Now, list down the factors of 4912
:1,2,4,8,16,307,614,1228,2456,4912
Now, list down the factors of 4042
:1,2,43,47,86,94,2021,4042
Greatest Common Factor
We found the factors 4912,4042 . The biggest common factor number is the GCF number.
So the greatest common factor 4912,4042 is 2.
Lets's calculate LCM of 328,3848
| 2 | 328, 3848 |
| 2 | 164, 1924 |
| 2 | 82, 962 |
| 41, 481 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 481 = 157768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157768
Therefore, the GCF of Fractions 4912/328,4042/3848 is 2/157768
Least Common Multiple of 328,3848 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 328,3848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,3848) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(328,3848) x common factors =8 x 1 = 8
LCM(328,3848) = ( 328 × 3848 ) / 8
LCM(328,3848) = 1262144 / 8
LCM(328,3848) = 157768
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FAQs on GCF of Fractions of 4912/328, 4042/3848
1. What is the HCF of 4912,4042?
The HCF of 4912,4042 is 2
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 4912/328, 4042/3848?
Answer: GCF of Numerators as per given numbers 4912/328, 4042/3848 is
GCF of Numerators i.e. for 4912,4042 is 2
LCM of denominators i.e. for 328,3848 is 157768.
Thus, GCF of Fractions is 2/157768.Finally, GCF of Fractions for 4912/328, 4042/3848 is 2/157768.