GCF of 2753/564, 2366/1930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2753/564, 2366/1930 i.e 1/544260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2753/564, 2366/1930.
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 2753/564,2366/1930?
Given fractions are 2753/564,2366/1930
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 2753/564,2366/1930, numerators are 2753,2366
Denominators are 564,1930
The GCF of 2753,2366 is 1 .
LCM of 564,1930 is 544260.
The greatest common factor of 2753/564,2366/1930 = [GCF of 2753,2366]/[LCM of 564,1930]= 1/544260
Therefore, the GCF of 2753/564,2366/1930 is 1/544260.
To find the highest common factor of 2753,2366, we have to find the factors of both numbers and list the highest common factor.
The factors of 2753 are 1, 2753
The factors of 2366 are 1, 2, 7, 13, 14, 26, 91, 169, 182, 338, 1183, 2366
The HCF of 2753,2366 is 1.
Lets's calculate GCF of 2753,2366
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2753,2366 By Matching Biggest Common Factor Method
Now, list down the factors of 2753
:1,2753
Now, list down the factors of 2366
:1,2,7,13,14,26,91,169,182,338,1183,2366
Greatest Common Factor
We found the factors 2753,2366 . The biggest common factor number is the GCF number.
So the greatest common factor 2753,2366 is 1.
Lets's calculate LCM of 564,1930
| 2 | 564, 1930 |
| 282, 965 |
∴ So the LCM of the given numbers is 2 x 282 x 965 = 544260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544260
Therefore, the GCF of Fractions 2753/564,2366/1930 is 1/544260
Least Common Multiple of 564,1930 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 564,1930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,1930) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,1930) x common factors =2 x 1 = 2
LCM(564,1930) = ( 564 × 1930 ) / 2
LCM(564,1930) = 1088520 / 2
LCM(564,1930) = 544260
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FAQs on GCF of Fractions of 2753/564, 2366/1930
1. What is the HCF of 2753,2366?
The HCF of 2753,2366 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 2753/564, 2366/1930?
Answer: GCF of Numerators as per given numbers 2753/564, 2366/1930 is
GCF of Numerators i.e. for 2753,2366 is 1
LCM of denominators i.e. for 564,1930 is 544260.
Thus, GCF of Fractions is 1/544260.Finally, GCF of Fractions for 2753/564, 2366/1930 is 1/544260.