GCF of 4112/748, 5374/1468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4112/748, 5374/1468 i.e 2/274516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4112/748, 5374/1468.
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 4112/748,5374/1468?
Given fractions are 4112/748,5374/1468
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 4112/748,5374/1468, numerators are 4112,5374
Denominators are 748,1468
The GCF of 4112,5374 is 2 .
LCM of 748,1468 is 274516.
The greatest common factor of 4112/748,5374/1468 = [GCF of 4112,5374]/[LCM of 748,1468]= 2/274516
Therefore, the GCF of 4112/748,5374/1468 is 2/274516.
To find the highest common factor of 4112,5374, we have to find the factors of both numbers and list the highest common factor.
The factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112
The factors of 5374 are 1, 2, 2687, 5374
The HCF of 4112,5374 is 2.
Lets's calculate GCF of 4112,5374
| 2 | 4112, 5374 |
| 2056, 2687 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4112,5374 By Matching Biggest Common Factor Method
Now, list down the factors of 4112
:1,2,4,8,16,257,514,1028,2056,4112
Now, list down the factors of 5374
:1,2,2687,5374
Greatest Common Factor
We found the factors 4112,5374 . The biggest common factor number is the GCF number.
So the greatest common factor 4112,5374 is 2.
Lets's calculate LCM of 748,1468
| 2 | 748, 1468 |
| 2 | 374, 734 |
| 187, 367 |
∴ So the LCM of the given numbers is 2 x 2 x 187 x 367 = 274516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/274516
Therefore, the GCF of Fractions 4112/748,5374/1468 is 2/274516
Least Common Multiple of 748,1468 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 748,1468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,1468) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(748,1468) x common factors =4 x 1 = 4
LCM(748,1468) = ( 748 × 1468 ) / 4
LCM(748,1468) = 1098064 / 4
LCM(748,1468) = 274516
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FAQs on GCF of Fractions of 4112/748, 5374/1468
1. What is the HCF of 4112,5374?
The HCF of 4112,5374 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 4112/748, 5374/1468?
Answer: GCF of Numerators as per given numbers 4112/748, 5374/1468 is
GCF of Numerators i.e. for 4112,5374 is 2
LCM of denominators i.e. for 748,1468 is 274516.
Thus, GCF of Fractions is 2/274516.Finally, GCF of Fractions for 4112/748, 5374/1468 is 2/274516.