GCF of 5825/912, 4571/1162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5825/912, 4571/1162 i.e 1/529872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5825/912, 4571/1162.
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 5825/912,4571/1162?
Given fractions are 5825/912,4571/1162
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 5825/912,4571/1162, numerators are 5825,4571
Denominators are 912,1162
The GCF of 5825,4571 is 1 .
LCM of 912,1162 is 529872.
The greatest common factor of 5825/912,4571/1162 = [GCF of 5825,4571]/[LCM of 912,1162]= 1/529872
Therefore, the GCF of 5825/912,4571/1162 is 1/529872.
To find the highest common factor of 5825,4571, we have to find the factors of both numbers and list the highest common factor.
The factors of 5825 are 1, 5, 25, 233, 1165, 5825
The factors of 4571 are 1, 7, 653, 4571
The HCF of 5825,4571 is 1.
Lets's calculate GCF of 5825,4571
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5825,4571 By Matching Biggest Common Factor Method
Now, list down the factors of 5825
:1,5,25,233,1165,5825
Now, list down the factors of 4571
:1,7,653,4571
Greatest Common Factor
We found the factors 5825,4571 . The biggest common factor number is the GCF number.
So the greatest common factor 5825,4571 is 1.
Lets's calculate LCM of 912,1162
| 2 | 912, 1162 |
| 456, 581 |
∴ So the LCM of the given numbers is 2 x 456 x 581 = 529872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/529872
Therefore, the GCF of Fractions 5825/912,4571/1162 is 1/529872
Least Common Multiple of 912,1162 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 912,1162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,1162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(912,1162) x common factors =2 x 1 = 2
LCM(912,1162) = ( 912 × 1162 ) / 2
LCM(912,1162) = 1059744 / 2
LCM(912,1162) = 529872
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FAQs on GCF of Fractions of 5825/912, 4571/1162
1. What is the HCF of 5825,4571?
The HCF of 5825,4571 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 5825/912, 4571/1162?
Answer: GCF of Numerators as per given numbers 5825/912, 4571/1162 is
GCF of Numerators i.e. for 5825,4571 is 1
LCM of denominators i.e. for 912,1162 is 529872.
Thus, GCF of Fractions is 1/529872.Finally, GCF of Fractions for 5825/912, 4571/1162 is 1/529872.