GCF of 5748/960, 3122/8614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5748/960, 3122/8614 i.e 2/4134720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5748/960, 3122/8614.
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 5748/960,3122/8614?
Given fractions are 5748/960,3122/8614
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 5748/960,3122/8614, numerators are 5748,3122
Denominators are 960,8614
The GCF of 5748,3122 is 2 .
LCM of 960,8614 is 4134720.
The greatest common factor of 5748/960,3122/8614 = [GCF of 5748,3122]/[LCM of 960,8614]= 2/4134720
Therefore, the GCF of 5748/960,3122/8614 is 2/4134720.
To find the highest common factor of 5748,3122, we have to find the factors of both numbers and list the highest common factor.
The factors of 5748 are 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748
The factors of 3122 are 1, 2, 7, 14, 223, 446, 1561, 3122
The HCF of 5748,3122 is 2.
Lets's calculate GCF of 5748,3122
| 2 | 5748, 3122 |
| 2874, 1561 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5748,3122 By Matching Biggest Common Factor Method
Now, list down the factors of 5748
:1,2,3,4,6,12,479,958,1437,1916,2874,5748
Now, list down the factors of 3122
:1,2,7,14,223,446,1561,3122
Greatest Common Factor
We found the factors 5748,3122 . The biggest common factor number is the GCF number.
So the greatest common factor 5748,3122 is 2.
Lets's calculate LCM of 960,8614
| 2 | 960, 8614 |
| 480, 4307 |
∴ So the LCM of the given numbers is 2 x 480 x 4307 = 4134720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4134720
Therefore, the GCF of Fractions 5748/960,3122/8614 is 2/4134720
Least Common Multiple of 960,8614 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 960,8614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,8614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(960,8614) x common factors =2 x 1 = 2
LCM(960,8614) = ( 960 × 8614 ) / 2
LCM(960,8614) = 8269440 / 2
LCM(960,8614) = 4134720
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FAQs on GCF of Fractions of 5748/960, 3122/8614
1. What is the HCF of 5748,3122?
The HCF of 5748,3122 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 5748/960, 3122/8614?
Answer: GCF of Numerators as per given numbers 5748/960, 3122/8614 is
GCF of Numerators i.e. for 5748,3122 is 2
LCM of denominators i.e. for 960,8614 is 4134720.
Thus, GCF of Fractions is 2/4134720.Finally, GCF of Fractions for 5748/960, 3122/8614 is 2/4134720.