GCF of 7592/758, 4672/4877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7592/758, 4672/4877 i.e 584/3696766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7592/758, 4672/4877.
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 7592/758,4672/4877?
Given fractions are 7592/758,4672/4877
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 7592/758,4672/4877, numerators are 7592,4672
Denominators are 758,4877
The GCF of 7592,4672 is 584 .
LCM of 758,4877 is 3696766.
The greatest common factor of 7592/758,4672/4877 = [GCF of 7592,4672]/[LCM of 758,4877]= 584/3696766
Therefore, the GCF of 7592/758,4672/4877 is 584/3696766.
To find the highest common factor of 7592,4672, we have to find the factors of both numbers and list the highest common factor.
The factors of 7592 are 1, 2, 4, 8, 13, 26, 52, 73, 104, 146, 292, 584, 949, 1898, 3796, 7592
The factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672
The HCF of 7592,4672 is 584.
Lets's calculate GCF of 7592,4672
| 2 | 7592, 4672 |
| 2 | 3796, 2336 |
| 2 | 1898, 1168 |
| 73 | 949, 584 |
| 13, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 73 = 584
Greatest Common Factor of 7592,4672 By Matching Biggest Common Factor Method
Now, list down the factors of 7592
:1,2,4,8,13,26,52,73,104,146,292,584,949,1898,3796,7592
Now, list down the factors of 4672
:1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672
Greatest Common Factor
We found the factors 7592,4672 . The biggest common factor number is the GCF number.
So the greatest common factor 7592,4672 is 584.
Lets's calculate LCM of 758,4877
Given numbers has no common factors except 1. So, there LCM is their product i.e 3696766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 584/3696766
Therefore, the GCF of Fractions 7592/758,4672/4877 is 584/3696766
Least Common Multiple of 758,4877 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 758,4877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,4877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,4877) x common factors =1 x 1 = 1
LCM(758,4877) = ( 758 × 4877 ) / 1
LCM(758,4877) = 3696766 / 1
LCM(758,4877) = 3696766
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FAQs on GCF of Fractions of 7592/758, 4672/4877
1. What is the HCF of 7592,4672?
The HCF of 7592,4672 is 584
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 7592/758, 4672/4877?
Answer: GCF of Numerators as per given numbers 7592/758, 4672/4877 is
GCF of Numerators i.e. for 7592,4672 is 584
LCM of denominators i.e. for 758,4877 is 3696766.
Thus, GCF of Fractions is 584/3696766.Finally, GCF of Fractions for 7592/758, 4672/4877 is 584/3696766.