GCF of 2941/700, 5934/3101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2941/700, 5934/3101 i.e 1/310100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2941/700, 5934/3101.
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 2941/700,5934/3101?
Given fractions are 2941/700,5934/3101
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 2941/700,5934/3101, numerators are 2941,5934
Denominators are 700,3101
The GCF of 2941,5934 is 1 .
LCM of 700,3101 is 310100.
The greatest common factor of 2941/700,5934/3101 = [GCF of 2941,5934]/[LCM of 700,3101]= 1/310100
Therefore, the GCF of 2941/700,5934/3101 is 1/310100.
To find the highest common factor of 2941,5934, we have to find the factors of both numbers and list the highest common factor.
The factors of 2941 are 1, 17, 173, 2941
The factors of 5934 are 1, 2, 3, 6, 23, 43, 46, 69, 86, 129, 138, 258, 989, 1978, 2967, 5934
The HCF of 2941,5934 is 1.
Lets's calculate GCF of 2941,5934
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2941,5934 By Matching Biggest Common Factor Method
Now, list down the factors of 2941
:1,17,173,2941
Now, list down the factors of 5934
:1,2,3,6,23,43,46,69,86,129,138,258,989,1978,2967,5934
Greatest Common Factor
We found the factors 2941,5934 . The biggest common factor number is the GCF number.
So the greatest common factor 2941,5934 is 1.
Lets's calculate LCM of 700,3101
| 7 | 700, 3101 |
| 100, 443 |
∴ So the LCM of the given numbers is 7 x 100 x 443 = 310100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310100
Therefore, the GCF of Fractions 2941/700,5934/3101 is 1/310100
Least Common Multiple of 700,3101 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 700,3101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,3101) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(700,3101) x common factors =7 x 1 = 7
LCM(700,3101) = ( 700 × 3101 ) / 7
LCM(700,3101) = 2170700 / 7
LCM(700,3101) = 310100
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FAQs on GCF of Fractions of 2941/700, 5934/3101
1. What is the HCF of 2941,5934?
The HCF of 2941,5934 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 2941/700, 5934/3101?
Answer: GCF of Numerators as per given numbers 2941/700, 5934/3101 is
GCF of Numerators i.e. for 2941,5934 is 1
LCM of denominators i.e. for 700,3101 is 310100.
Thus, GCF of Fractions is 1/310100.Finally, GCF of Fractions for 2941/700, 5934/3101 is 1/310100.