GCF of 7084/891, 1876/5769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7084/891, 1876/5769 i.e 28/571131 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7084/891, 1876/5769.
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 7084/891,1876/5769?
Given fractions are 7084/891,1876/5769
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 7084/891,1876/5769, numerators are 7084,1876
Denominators are 891,5769
The GCF of 7084,1876 is 28 .
LCM of 891,5769 is 571131.
The greatest common factor of 7084/891,1876/5769 = [GCF of 7084,1876]/[LCM of 891,5769]= 28/571131
Therefore, the GCF of 7084/891,1876/5769 is 28/571131.
To find the highest common factor of 7084,1876, we have to find the factors of both numbers and list the highest common factor.
The factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084
The factors of 1876 are 1, 2, 4, 7, 14, 28, 67, 134, 268, 469, 938, 1876
The HCF of 7084,1876 is 28.
Lets's calculate GCF of 7084,1876
| 2 | 7084, 1876 |
| 2 | 3542, 938 |
| 7 | 1771, 469 |
| 253, 67 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 7084,1876 By Matching Biggest Common Factor Method
Now, list down the factors of 7084
:1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084
Now, list down the factors of 1876
:1,2,4,7,14,28,67,134,268,469,938,1876
Greatest Common Factor
We found the factors 7084,1876 . The biggest common factor number is the GCF number.
So the greatest common factor 7084,1876 is 28.
Lets's calculate LCM of 891,5769
| 3 | 891, 5769 |
| 3 | 297, 1923 |
| 99, 641 |
∴ So the LCM of the given numbers is 3 x 3 x 99 x 641 = 571131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/571131
Therefore, the GCF of Fractions 7084/891,1876/5769 is 28/571131
Least Common Multiple of 891,5769 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 891,5769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,5769) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(891,5769) x common factors =9 x 1 = 9
LCM(891,5769) = ( 891 × 5769 ) / 9
LCM(891,5769) = 5140179 / 9
LCM(891,5769) = 571131
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FAQs on GCF of Fractions of 7084/891, 1876/5769
1. What is the HCF of 7084,1876?
The HCF of 7084,1876 is 28
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 7084/891, 1876/5769?
Answer: GCF of Numerators as per given numbers 7084/891, 1876/5769 is
GCF of Numerators i.e. for 7084,1876 is 28
LCM of denominators i.e. for 891,5769 is 571131.
Thus, GCF of Fractions is 28/571131.Finally, GCF of Fractions for 7084/891, 1876/5769 is 28/571131.