GCF of 2947/259, 4921/8409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2947/259, 4921/8409 i.e 7/2177931 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2947/259, 4921/8409.
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 2947/259,4921/8409?
Given fractions are 2947/259,4921/8409
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 2947/259,4921/8409, numerators are 2947,4921
Denominators are 259,8409
The GCF of 2947,4921 is 7 .
LCM of 259,8409 is 2177931.
The greatest common factor of 2947/259,4921/8409 = [GCF of 2947,4921]/[LCM of 259,8409]= 7/2177931
Therefore, the GCF of 2947/259,4921/8409 is 7/2177931.
To find the highest common factor of 2947,4921, we have to find the factors of both numbers and list the highest common factor.
The factors of 2947 are 1, 7, 421, 2947
The factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921
The HCF of 2947,4921 is 7.
Lets's calculate GCF of 2947,4921
| 7 | 2947, 4921 |
| 421, 703 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2947,4921 By Matching Biggest Common Factor Method
Now, list down the factors of 2947
:1,7,421,2947
Now, list down the factors of 4921
:1,7,19,37,133,259,703,4921
Greatest Common Factor
We found the factors 2947,4921 . The biggest common factor number is the GCF number.
So the greatest common factor 2947,4921 is 7.
Lets's calculate LCM of 259,8409
Given numbers has no common factors except 1. So, there LCM is their product i.e 2177931
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2177931
Therefore, the GCF of Fractions 2947/259,4921/8409 is 7/2177931
Least Common Multiple of 259,8409 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 259,8409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,8409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,8409) x common factors =1 x 1 = 1
LCM(259,8409) = ( 259 × 8409 ) / 1
LCM(259,8409) = 2177931 / 1
LCM(259,8409) = 2177931
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FAQs on GCF of Fractions of 2947/259, 4921/8409
1. What is the HCF of 2947,4921?
The HCF of 2947,4921 is 7
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 2947/259, 4921/8409?
Answer: GCF of Numerators as per given numbers 2947/259, 4921/8409 is
GCF of Numerators i.e. for 2947,4921 is 7
LCM of denominators i.e. for 259,8409 is 2177931.
Thus, GCF of Fractions is 7/2177931.Finally, GCF of Fractions for 2947/259, 4921/8409 is 7/2177931.