GCF of 2757/294, 2311/759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2757/294, 2311/759 i.e 1/74382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2757/294, 2311/759.
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 2757/294,2311/759?
Given fractions are 2757/294,2311/759
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 2757/294,2311/759, numerators are 2757,2311
Denominators are 294,759
The GCF of 2757,2311 is 1 .
LCM of 294,759 is 74382.
The greatest common factor of 2757/294,2311/759 = [GCF of 2757,2311]/[LCM of 294,759]= 1/74382
Therefore, the GCF of 2757/294,2311/759 is 1/74382.
To find the highest common factor of 2757,2311, we have to find the factors of both numbers and list the highest common factor.
The factors of 2757 are 1, 3, 919, 2757
The factors of 2311 are 1, 2311
The HCF of 2757,2311 is 1.
Lets's calculate GCF of 2757,2311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2757,2311 By Matching Biggest Common Factor Method
Now, list down the factors of 2757
:1,3,919,2757
Now, list down the factors of 2311
:1,2311
Greatest Common Factor
We found the factors 2757,2311 . The biggest common factor number is the GCF number.
So the greatest common factor 2757,2311 is 1.
Lets's calculate LCM of 294,759
| 3 | 294, 759 |
| 98, 253 |
∴ So the LCM of the given numbers is 3 x 98 x 253 = 74382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74382
Therefore, the GCF of Fractions 2757/294,2311/759 is 1/74382
Least Common Multiple of 294,759 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 294,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,759) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(294,759) x common factors =3 x 1 = 3
LCM(294,759) = ( 294 × 759 ) / 3
LCM(294,759) = 223146 / 3
LCM(294,759) = 74382
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FAQs on GCF of Fractions of 2757/294, 2311/759
1. What is the HCF of 2757,2311?
The HCF of 2757,2311 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 2757/294, 2311/759?
Answer: GCF of Numerators as per given numbers 2757/294, 2311/759 is
GCF of Numerators i.e. for 2757,2311 is 1
LCM of denominators i.e. for 294,759 is 74382.
Thus, GCF of Fractions is 1/74382.Finally, GCF of Fractions for 2757/294, 2311/759 is 1/74382.