GCF of 4052/102, 3880/440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4052/102, 3880/440 i.e 4/22440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4052/102, 3880/440.
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 4052/102,3880/440?
Given fractions are 4052/102,3880/440
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 4052/102,3880/440, numerators are 4052,3880
Denominators are 102,440
The GCF of 4052,3880 is 4 .
LCM of 102,440 is 22440.
The greatest common factor of 4052/102,3880/440 = [GCF of 4052,3880]/[LCM of 102,440]= 4/22440
Therefore, the GCF of 4052/102,3880/440 is 4/22440.
To find the highest common factor of 4052,3880, we have to find the factors of both numbers and list the highest common factor.
The factors of 4052 are 1, 2, 4, 1013, 2026, 4052
The factors of 3880 are 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880
The HCF of 4052,3880 is 4.
Lets's calculate GCF of 4052,3880
| 2 | 4052, 3880 |
| 2 | 2026, 1940 |
| 1013, 970 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4052,3880 By Matching Biggest Common Factor Method
Now, list down the factors of 4052
:1,2,4,1013,2026,4052
Now, list down the factors of 3880
:1,2,4,5,8,10,20,40,97,194,388,485,776,970,1940,3880
Greatest Common Factor
We found the factors 4052,3880 . The biggest common factor number is the GCF number.
So the greatest common factor 4052,3880 is 4.
Lets's calculate LCM of 102,440
| 2 | 102, 440 |
| 51, 220 |
∴ So the LCM of the given numbers is 2 x 51 x 220 = 22440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/22440
Therefore, the GCF of Fractions 4052/102,3880/440 is 4/22440
Least Common Multiple of 102,440 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 102,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,440) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,440) x common factors =2 x 1 = 2
LCM(102,440) = ( 102 × 440 ) / 2
LCM(102,440) = 44880 / 2
LCM(102,440) = 22440
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4052/102, 3880/440
1. What is the HCF of 4052,3880?
The HCF of 4052,3880 is 4
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 4052/102, 3880/440?
Answer: GCF of Numerators as per given numbers 4052/102, 3880/440 is
GCF of Numerators i.e. for 4052,3880 is 4
LCM of denominators i.e. for 102,440 is 22440.
Thus, GCF of Fractions is 4/22440.Finally, GCF of Fractions for 4052/102, 3880/440 is 4/22440.