GCF of 5792/534, 5192/621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5792/534, 5192/621 i.e 8/110538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5792/534, 5192/621.
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 5792/534,5192/621?
Given fractions are 5792/534,5192/621
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 5792/534,5192/621, numerators are 5792,5192
Denominators are 534,621
The GCF of 5792,5192 is 8 .
LCM of 534,621 is 110538.
The greatest common factor of 5792/534,5192/621 = [GCF of 5792,5192]/[LCM of 534,621]= 8/110538
Therefore, the GCF of 5792/534,5192/621 is 8/110538.
To find the highest common factor of 5792,5192, we have to find the factors of both numbers and list the highest common factor.
The factors of 5792 are 1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792
The factors of 5192 are 1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 236, 472, 649, 1298, 2596, 5192
The HCF of 5792,5192 is 8.
Lets's calculate GCF of 5792,5192
| 2 | 5792, 5192 |
| 2 | 2896, 2596 |
| 2 | 1448, 1298 |
| 724, 649 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5792,5192 By Matching Biggest Common Factor Method
Now, list down the factors of 5792
:1,2,4,8,16,32,181,362,724,1448,2896,5792
Now, list down the factors of 5192
:1,2,4,8,11,22,44,59,88,118,236,472,649,1298,2596,5192
Greatest Common Factor
We found the factors 5792,5192 . The biggest common factor number is the GCF number.
So the greatest common factor 5792,5192 is 8.
Lets's calculate LCM of 534,621
| 3 | 534, 621 |
| 178, 207 |
∴ So the LCM of the given numbers is 3 x 178 x 207 = 110538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/110538
Therefore, the GCF of Fractions 5792/534,5192/621 is 8/110538
Least Common Multiple of 534,621 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 534,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,621) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(534,621) x common factors =3 x 1 = 3
LCM(534,621) = ( 534 × 621 ) / 3
LCM(534,621) = 331614 / 3
LCM(534,621) = 110538
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FAQs on GCF of Fractions of 5792/534, 5192/621
1. What is the HCF of 5792,5192?
The HCF of 5792,5192 is 8
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 5792/534, 5192/621?
Answer: GCF of Numerators as per given numbers 5792/534, 5192/621 is
GCF of Numerators i.e. for 5792,5192 is 8
LCM of denominators i.e. for 534,621 is 110538.
Thus, GCF of Fractions is 8/110538.Finally, GCF of Fractions for 5792/534, 5192/621 is 8/110538.