GCF of 4592/802, 1880/4964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4592/802, 1880/4964 i.e 8/1990564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4592/802, 1880/4964.
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 4592/802,1880/4964?
Given fractions are 4592/802,1880/4964
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 4592/802,1880/4964, numerators are 4592,1880
Denominators are 802,4964
The GCF of 4592,1880 is 8 .
LCM of 802,4964 is 1990564.
The greatest common factor of 4592/802,1880/4964 = [GCF of 4592,1880]/[LCM of 802,4964]= 8/1990564
Therefore, the GCF of 4592/802,1880/4964 is 8/1990564.
To find the highest common factor of 4592,1880, we have to find the factors of both numbers and list the highest common factor.
The factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592
The factors of 1880 are 1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940, 1880
The HCF of 4592,1880 is 8.
Lets's calculate GCF of 4592,1880
| 2 | 4592, 1880 |
| 2 | 2296, 940 |
| 2 | 1148, 470 |
| 574, 235 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4592,1880 By Matching Biggest Common Factor Method
Now, list down the factors of 4592
:1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592
Now, list down the factors of 1880
:1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880
Greatest Common Factor
We found the factors 4592,1880 . The biggest common factor number is the GCF number.
So the greatest common factor 4592,1880 is 8.
Lets's calculate LCM of 802,4964
| 2 | 802, 4964 |
| 401, 2482 |
∴ So the LCM of the given numbers is 2 x 401 x 2482 = 1990564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1990564
Therefore, the GCF of Fractions 4592/802,1880/4964 is 8/1990564
Least Common Multiple of 802,4964 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 802,4964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,4964) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,4964) x common factors =2 x 1 = 2
LCM(802,4964) = ( 802 × 4964 ) / 2
LCM(802,4964) = 3981128 / 2
LCM(802,4964) = 1990564
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FAQs on GCF of Fractions of 4592/802, 1880/4964
1. What is the HCF of 4592,1880?
The HCF of 4592,1880 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 4592/802, 1880/4964?
Answer: GCF of Numerators as per given numbers 4592/802, 1880/4964 is
GCF of Numerators i.e. for 4592,1880 is 8
LCM of denominators i.e. for 802,4964 is 1990564.
Thus, GCF of Fractions is 8/1990564.Finally, GCF of Fractions for 4592/802, 1880/4964 is 8/1990564.