GCF of 1048/404, 7214/4032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1048/404, 7214/4032 i.e 2/407232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1048/404, 7214/4032.
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 1048/404,7214/4032?
Given fractions are 1048/404,7214/4032
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 1048/404,7214/4032, numerators are 1048,7214
Denominators are 404,4032
The GCF of 1048,7214 is 2 .
LCM of 404,4032 is 407232.
The greatest common factor of 1048/404,7214/4032 = [GCF of 1048,7214]/[LCM of 404,4032]= 2/407232
Therefore, the GCF of 1048/404,7214/4032 is 2/407232.
To find the highest common factor of 1048,7214, we have to find the factors of both numbers and list the highest common factor.
The factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048
The factors of 7214 are 1, 2, 3607, 7214
The HCF of 1048,7214 is 2.
Lets's calculate GCF of 1048,7214
| 2 | 1048, 7214 |
| 524, 3607 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1048,7214 By Matching Biggest Common Factor Method
Now, list down the factors of 1048
:1,2,4,8,131,262,524,1048
Now, list down the factors of 7214
:1,2,3607,7214
Greatest Common Factor
We found the factors 1048,7214 . The biggest common factor number is the GCF number.
So the greatest common factor 1048,7214 is 2.
Lets's calculate LCM of 404,4032
| 2 | 404, 4032 |
| 2 | 202, 2016 |
| 101, 1008 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 1008 = 407232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/407232
Therefore, the GCF of Fractions 1048/404,7214/4032 is 2/407232
Least Common Multiple of 404,4032 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 404,4032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,4032) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(404,4032) x common factors =4 x 1 = 4
LCM(404,4032) = ( 404 × 4032 ) / 4
LCM(404,4032) = 1628928 / 4
LCM(404,4032) = 407232
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FAQs on GCF of Fractions of 1048/404, 7214/4032
1. What is the HCF of 1048,7214?
The HCF of 1048,7214 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 1048/404, 7214/4032?
Answer: GCF of Numerators as per given numbers 1048/404, 7214/4032 is
GCF of Numerators i.e. for 1048,7214 is 2
LCM of denominators i.e. for 404,4032 is 407232.
Thus, GCF of Fractions is 2/407232.Finally, GCF of Fractions for 1048/404, 7214/4032 is 2/407232.