GCF of 5792/708, 6083/8832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5792/708, 6083/8832 i.e 1/521088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5792/708, 6083/8832.
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 5792/708,6083/8832?
Given fractions are 5792/708,6083/8832
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 5792/708,6083/8832, numerators are 5792,6083
Denominators are 708,8832
The GCF of 5792,6083 is 1 .
LCM of 708,8832 is 521088.
The greatest common factor of 5792/708,6083/8832 = [GCF of 5792,6083]/[LCM of 708,8832]= 1/521088
Therefore, the GCF of 5792/708,6083/8832 is 1/521088.
To find the highest common factor of 5792,6083, 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 6083 are 1, 7, 11, 77, 79, 553, 869, 6083
The HCF of 5792,6083 is 1.
Lets's calculate GCF of 5792,6083
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5792,6083 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 6083
:1,7,11,77,79,553,869,6083
Greatest Common Factor
We found the factors 5792,6083 . The biggest common factor number is the GCF number.
So the greatest common factor 5792,6083 is 1.
Lets's calculate LCM of 708,8832
| 2 | 708, 8832 |
| 2 | 354, 4416 |
| 3 | 177, 2208 |
| 59, 736 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 59 x 736 = 521088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521088
Therefore, the GCF of Fractions 5792/708,6083/8832 is 1/521088
Least Common Multiple of 708,8832 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 708,8832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,8832) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(708,8832) x common factors =12 x 1 = 12
LCM(708,8832) = ( 708 × 8832 ) / 12
LCM(708,8832) = 6253056 / 12
LCM(708,8832) = 521088
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FAQs on GCF of Fractions of 5792/708, 6083/8832
1. What is the HCF of 5792,6083?
The HCF of 5792,6083 is 1
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 5792/708, 6083/8832?
Answer: GCF of Numerators as per given numbers 5792/708, 6083/8832 is
GCF of Numerators i.e. for 5792,6083 is 1
LCM of denominators i.e. for 708,8832 is 521088.
Thus, GCF of Fractions is 1/521088.Finally, GCF of Fractions for 5792/708, 6083/8832 is 1/521088.