GCF of 2973/239, 8829/5486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2973/239, 8829/5486 i.e 3/1311154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2973/239, 8829/5486.
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 2973/239,8829/5486?
Given fractions are 2973/239,8829/5486
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 2973/239,8829/5486, numerators are 2973,8829
Denominators are 239,5486
The GCF of 2973,8829 is 3 .
LCM of 239,5486 is 1311154.
The greatest common factor of 2973/239,8829/5486 = [GCF of 2973,8829]/[LCM of 239,5486]= 3/1311154
Therefore, the GCF of 2973/239,8829/5486 is 3/1311154.
To find the highest common factor of 2973,8829, we have to find the factors of both numbers and list the highest common factor.
The factors of 2973 are 1, 3, 991, 2973
The factors of 8829 are 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829
The HCF of 2973,8829 is 3.
Lets's calculate GCF of 2973,8829
| 3 | 2973, 8829 |
| 991, 2943 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2973,8829 By Matching Biggest Common Factor Method
Now, list down the factors of 2973
:1,3,991,2973
Now, list down the factors of 8829
:1,3,9,27,81,109,327,981,2943,8829
Greatest Common Factor
We found the factors 2973,8829 . The biggest common factor number is the GCF number.
So the greatest common factor 2973,8829 is 3.
Lets's calculate LCM of 239,5486
Given numbers has no common factors except 1. So, there LCM is their product i.e 1311154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1311154
Therefore, the GCF of Fractions 2973/239,8829/5486 is 3/1311154
Least Common Multiple of 239,5486 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 239,5486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,5486) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,5486) x common factors =1 x 1 = 1
LCM(239,5486) = ( 239 × 5486 ) / 1
LCM(239,5486) = 1311154 / 1
LCM(239,5486) = 1311154
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FAQs on GCF of Fractions of 2973/239, 8829/5486
1. What is the HCF of 2973,8829?
The HCF of 2973,8829 is 3
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 2973/239, 8829/5486?
Answer: GCF of Numerators as per given numbers 2973/239, 8829/5486 is
GCF of Numerators i.e. for 2973,8829 is 3
LCM of denominators i.e. for 239,5486 is 1311154.
Thus, GCF of Fractions is 3/1311154.Finally, GCF of Fractions for 2973/239, 8829/5486 is 3/1311154.