GCF of 5292/382, 2079/998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5292/382, 2079/998 i.e 189/190618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5292/382, 2079/998.
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 5292/382,2079/998?
Given fractions are 5292/382,2079/998
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 5292/382,2079/998, numerators are 5292,2079
Denominators are 382,998
The GCF of 5292,2079 is 189 .
LCM of 382,998 is 190618.
The greatest common factor of 5292/382,2079/998 = [GCF of 5292,2079]/[LCM of 382,998]= 189/190618
Therefore, the GCF of 5292/382,2079/998 is 189/190618.
To find the highest common factor of 5292,2079, we have to find the factors of both numbers and list the highest common factor.
The factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292
The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
The HCF of 5292,2079 is 189.
Lets's calculate GCF of 5292,2079
| 3 | 5292, 2079 |
| 3 | 1764, 693 |
| 3 | 588, 231 |
| 7 | 196, 77 |
| 28, 11 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 7 = 189
Greatest Common Factor of 5292,2079 By Matching Biggest Common Factor Method
Now, list down the factors of 5292
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,49,54,63,84,98,108,126,147,189,196,252,294,378,441,588,756,882,1323,1764,2646,5292
Now, list down the factors of 2079
:1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079
Greatest Common Factor
We found the factors 5292,2079 . The biggest common factor number is the GCF number.
So the greatest common factor 5292,2079 is 189.
Lets's calculate LCM of 382,998
| 2 | 382, 998 |
| 191, 499 |
∴ So the LCM of the given numbers is 2 x 191 x 499 = 190618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 189/190618
Therefore, the GCF of Fractions 5292/382,2079/998 is 189/190618
Least Common Multiple of 382,998 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 382,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,998) x common factors =2 x 1 = 2
LCM(382,998) = ( 382 × 998 ) / 2
LCM(382,998) = 381236 / 2
LCM(382,998) = 190618
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FAQs on GCF of Fractions of 5292/382, 2079/998
1. What is the HCF of 5292,2079?
The HCF of 5292,2079 is 189
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 5292/382, 2079/998?
Answer: GCF of Numerators as per given numbers 5292/382, 2079/998 is
GCF of Numerators i.e. for 5292,2079 is 189
LCM of denominators i.e. for 382,998 is 190618.
Thus, GCF of Fractions is 189/190618.Finally, GCF of Fractions for 5292/382, 2079/998 is 189/190618.