GCF of 2825/123, 6038/4929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2825/123, 6038/4929 i.e 1/202089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2825/123, 6038/4929.
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 2825/123,6038/4929?
Given fractions are 2825/123,6038/4929
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 2825/123,6038/4929, numerators are 2825,6038
Denominators are 123,4929
The GCF of 2825,6038 is 1 .
LCM of 123,4929 is 202089.
The greatest common factor of 2825/123,6038/4929 = [GCF of 2825,6038]/[LCM of 123,4929]= 1/202089
Therefore, the GCF of 2825/123,6038/4929 is 1/202089.
To find the highest common factor of 2825,6038, we have to find the factors of both numbers and list the highest common factor.
The factors of 2825 are 1, 5, 25, 113, 565, 2825
The factors of 6038 are 1, 2, 3019, 6038
The HCF of 2825,6038 is 1.
Lets's calculate GCF of 2825,6038
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2825,6038 By Matching Biggest Common Factor Method
Now, list down the factors of 2825
:1,5,25,113,565,2825
Now, list down the factors of 6038
:1,2,3019,6038
Greatest Common Factor
We found the factors 2825,6038 . The biggest common factor number is the GCF number.
So the greatest common factor 2825,6038 is 1.
Lets's calculate LCM of 123,4929
| 3 | 123, 4929 |
| 41, 1643 |
∴ So the LCM of the given numbers is 3 x 41 x 1643 = 202089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202089
Therefore, the GCF of Fractions 2825/123,6038/4929 is 1/202089
Least Common Multiple of 123,4929 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 123,4929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,4929) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,4929) x common factors =3 x 1 = 3
LCM(123,4929) = ( 123 × 4929 ) / 3
LCM(123,4929) = 606267 / 3
LCM(123,4929) = 202089
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FAQs on GCF of Fractions of 2825/123, 6038/4929
1. What is the HCF of 2825,6038?
The HCF of 2825,6038 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 2825/123, 6038/4929?
Answer: GCF of Numerators as per given numbers 2825/123, 6038/4929 is
GCF of Numerators i.e. for 2825,6038 is 1
LCM of denominators i.e. for 123,4929 is 202089.
Thus, GCF of Fractions is 1/202089.Finally, GCF of Fractions for 2825/123, 6038/4929 is 1/202089.