GCF of 8921/123, 5112/5523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8921/123, 5112/5523 i.e 1/226443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8921/123, 5112/5523.
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 8921/123,5112/5523?
Given fractions are 8921/123,5112/5523
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 8921/123,5112/5523, numerators are 8921,5112
Denominators are 123,5523
The GCF of 8921,5112 is 1 .
LCM of 123,5523 is 226443.
The greatest common factor of 8921/123,5112/5523 = [GCF of 8921,5112]/[LCM of 123,5523]= 1/226443
Therefore, the GCF of 8921/123,5112/5523 is 1/226443.
To find the highest common factor of 8921,5112, we have to find the factors of both numbers and list the highest common factor.
The factors of 8921 are 1, 11, 811, 8921
The factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112
The HCF of 8921,5112 is 1.
Lets's calculate GCF of 8921,5112
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8921,5112 By Matching Biggest Common Factor Method
Now, list down the factors of 8921
:1,11,811,8921
Now, list down the factors of 5112
:1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112
Greatest Common Factor
We found the factors 8921,5112 . The biggest common factor number is the GCF number.
So the greatest common factor 8921,5112 is 1.
Lets's calculate LCM of 123,5523
| 3 | 123, 5523 |
| 41, 1841 |
∴ So the LCM of the given numbers is 3 x 41 x 1841 = 226443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226443
Therefore, the GCF of Fractions 8921/123,5112/5523 is 1/226443
Least Common Multiple of 123,5523 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 123,5523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,5523) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,5523) x common factors =3 x 1 = 3
LCM(123,5523) = ( 123 × 5523 ) / 3
LCM(123,5523) = 679329 / 3
LCM(123,5523) = 226443
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FAQs on GCF of Fractions of 8921/123, 5112/5523
1. What is the HCF of 8921,5112?
The HCF of 8921,5112 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 8921/123, 5112/5523?
Answer: GCF of Numerators as per given numbers 8921/123, 5112/5523 is
GCF of Numerators i.e. for 8921,5112 is 1
LCM of denominators i.e. for 123,5523 is 226443.
Thus, GCF of Fractions is 1/226443.Finally, GCF of Fractions for 8921/123, 5112/5523 is 1/226443.