GCF of 2929/469, 4949/285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2929/469, 4949/285 i.e 101/133665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2929/469, 4949/285.
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 2929/469,4949/285?
Given fractions are 2929/469,4949/285
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 2929/469,4949/285, numerators are 2929,4949
Denominators are 469,285
The GCF of 2929,4949 is 101 .
LCM of 469,285 is 133665.
The greatest common factor of 2929/469,4949/285 = [GCF of 2929,4949]/[LCM of 469,285]= 101/133665
Therefore, the GCF of 2929/469,4949/285 is 101/133665.
To find the highest common factor of 2929,4949, we have to find the factors of both numbers and list the highest common factor.
The factors of 2929 are 1, 29, 101, 2929
The factors of 4949 are 1, 7, 49, 101, 707, 4949
The HCF of 2929,4949 is 101.
Lets's calculate GCF of 2929,4949
| 101 | 2929, 4949 |
| 29, 49 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 2929,4949 By Matching Biggest Common Factor Method
Now, list down the factors of 2929
:1,29,101,2929
Now, list down the factors of 4949
:1,7,49,101,707,4949
Greatest Common Factor
We found the factors 2929,4949 . The biggest common factor number is the GCF number.
So the greatest common factor 2929,4949 is 101.
Lets's calculate LCM of 469,285
Given numbers has no common factors except 1. So, there LCM is their product i.e 133665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/133665
Therefore, the GCF of Fractions 2929/469,4949/285 is 101/133665
Least Common Multiple of 469,285 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 469,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,285) x common factors =1 x 1 = 1
LCM(469,285) = ( 469 × 285 ) / 1
LCM(469,285) = 133665 / 1
LCM(469,285) = 133665
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FAQs on GCF of Fractions of 2929/469, 4949/285
1. What is the HCF of 2929,4949?
The HCF of 2929,4949 is 101
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 2929/469, 4949/285?
Answer: GCF of Numerators as per given numbers 2929/469, 4949/285 is
GCF of Numerators i.e. for 2929,4949 is 101
LCM of denominators i.e. for 469,285 is 133665.
Thus, GCF of Fractions is 101/133665.Finally, GCF of Fractions for 2929/469, 4949/285 is 101/133665.