GCF of 2728/111, 7502/444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2728/111, 7502/444 i.e 682/444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2728/111, 7502/444.
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 2728/111,7502/444?
Given fractions are 2728/111,7502/444
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 2728/111,7502/444, numerators are 2728,7502
Denominators are 111,444
The GCF of 2728,7502 is 682 .
LCM of 111,444 is 444.
The greatest common factor of 2728/111,7502/444 = [GCF of 2728,7502]/[LCM of 111,444]= 682/444
Therefore, the GCF of 2728/111,7502/444 is 682/444.
To find the highest common factor of 2728,7502, we have to find the factors of both numbers and list the highest common factor.
The factors of 2728 are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728
The factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502
The HCF of 2728,7502 is 682.
Lets's calculate GCF of 2728,7502
| 2 | 2728, 7502 |
| 11 | 1364, 3751 |
| 31 | 124, 341 |
| 4, 11 |
∴ So the GCF of the given numbers is 2 x 11 x 31 = 682
Greatest Common Factor of 2728,7502 By Matching Biggest Common Factor Method
Now, list down the factors of 2728
:1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728
Now, list down the factors of 7502
:1,2,11,22,31,62,121,242,341,682,3751,7502
Greatest Common Factor
We found the factors 2728,7502 . The biggest common factor number is the GCF number.
So the greatest common factor 2728,7502 is 682.
Lets's calculate LCM of 111,444
| 3 | 111, 444 |
| 37 | 37, 148 |
| 1, 4 |
∴ So the LCM of the given numbers is 3 x 37 x 1 x 4 = 444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 682/444
Therefore, the GCF of Fractions 2728/111,7502/444 is 682/444
Least Common Multiple of 111,444 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 111,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,444) = 111
common factors(in case of two or more numbers have common factors) = 1
GCF(111,444) x common factors =111 x 1 = 111
LCM(111,444) = ( 111 × 444 ) / 111
LCM(111,444) = 49284 / 111
LCM(111,444) = 444
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FAQs on GCF of Fractions of 2728/111, 7502/444
1. What is the HCF of 2728,7502?
The HCF of 2728,7502 is 682
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 2728/111, 7502/444?
Answer: GCF of Numerators as per given numbers 2728/111, 7502/444 is
GCF of Numerators i.e. for 2728,7502 is 682
LCM of denominators i.e. for 111,444 is 444.
Thus, GCF of Fractions is 682/444.Finally, GCF of Fractions for 2728/111, 7502/444 is 682/444.