GCF of 3880/242, 2136/4504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3880/242, 2136/4504 i.e 8/544984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3880/242, 2136/4504.
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 3880/242,2136/4504?
Given fractions are 3880/242,2136/4504
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 3880/242,2136/4504, numerators are 3880,2136
Denominators are 242,4504
The GCF of 3880,2136 is 8 .
LCM of 242,4504 is 544984.
The greatest common factor of 3880/242,2136/4504 = [GCF of 3880,2136]/[LCM of 242,4504]= 8/544984
Therefore, the GCF of 3880/242,2136/4504 is 8/544984.
To find the highest common factor of 3880,2136, we have to find the factors of both numbers and list the highest common factor.
The factors of 3880 are 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880
The factors of 2136 are 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068, 2136
The HCF of 3880,2136 is 8.
Lets's calculate GCF of 3880,2136
| 2 | 3880, 2136 |
| 2 | 1940, 1068 |
| 2 | 970, 534 |
| 485, 267 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3880,2136 By Matching Biggest Common Factor Method
Now, list down the factors of 3880
:1,2,4,5,8,10,20,40,97,194,388,485,776,970,1940,3880
Now, list down the factors of 2136
:1,2,3,4,6,8,12,24,89,178,267,356,534,712,1068,2136
Greatest Common Factor
We found the factors 3880,2136 . The biggest common factor number is the GCF number.
So the greatest common factor 3880,2136 is 8.
Lets's calculate LCM of 242,4504
| 2 | 242, 4504 |
| 121, 2252 |
∴ So the LCM of the given numbers is 2 x 121 x 2252 = 544984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/544984
Therefore, the GCF of Fractions 3880/242,2136/4504 is 8/544984
Least Common Multiple of 242,4504 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 242,4504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,4504) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,4504) x common factors =2 x 1 = 2
LCM(242,4504) = ( 242 × 4504 ) / 2
LCM(242,4504) = 1089968 / 2
LCM(242,4504) = 544984
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FAQs on GCF of Fractions of 3880/242, 2136/4504
1. What is the HCF of 3880,2136?
The HCF of 3880,2136 is 8
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 3880/242, 2136/4504?
Answer: GCF of Numerators as per given numbers 3880/242, 2136/4504 is
GCF of Numerators i.e. for 3880,2136 is 8
LCM of denominators i.e. for 242,4504 is 544984.
Thus, GCF of Fractions is 8/544984.Finally, GCF of Fractions for 3880/242, 2136/4504 is 8/544984.