GCF of 4528/902, 8997/1012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4528/902, 8997/1012 i.e 1/41492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4528/902, 8997/1012.
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 4528/902,8997/1012?
Given fractions are 4528/902,8997/1012
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 4528/902,8997/1012, numerators are 4528,8997
Denominators are 902,1012
The GCF of 4528,8997 is 1 .
LCM of 902,1012 is 41492.
The greatest common factor of 4528/902,8997/1012 = [GCF of 4528,8997]/[LCM of 902,1012]= 1/41492
Therefore, the GCF of 4528/902,8997/1012 is 1/41492.
To find the highest common factor of 4528,8997, we have to find the factors of both numbers and list the highest common factor.
The factors of 4528 are 1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528
The factors of 8997 are 1, 3, 2999, 8997
The HCF of 4528,8997 is 1.
Lets's calculate GCF of 4528,8997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4528,8997 By Matching Biggest Common Factor Method
Now, list down the factors of 4528
:1,2,4,8,16,283,566,1132,2264,4528
Now, list down the factors of 8997
:1,3,2999,8997
Greatest Common Factor
We found the factors 4528,8997 . The biggest common factor number is the GCF number.
So the greatest common factor 4528,8997 is 1.
Lets's calculate LCM of 902,1012
| 2 | 902, 1012 |
| 11 | 451, 506 |
| 41, 46 |
∴ So the LCM of the given numbers is 2 x 11 x 41 x 46 = 41492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41492
Therefore, the GCF of Fractions 4528/902,8997/1012 is 1/41492
Least Common Multiple of 902,1012 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 902,1012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,1012) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(902,1012) x common factors =22 x 1 = 22
LCM(902,1012) = ( 902 × 1012 ) / 22
LCM(902,1012) = 912824 / 22
LCM(902,1012) = 41492
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FAQs on GCF of Fractions of 4528/902, 8997/1012
1. What is the HCF of 4528,8997?
The HCF of 4528,8997 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 4528/902, 8997/1012?
Answer: GCF of Numerators as per given numbers 4528/902, 8997/1012 is
GCF of Numerators i.e. for 4528,8997 is 1
LCM of denominators i.e. for 902,1012 is 41492.
Thus, GCF of Fractions is 1/41492.Finally, GCF of Fractions for 4528/902, 8997/1012 is 1/41492.