GCF of 2559/712, 5455/6786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2559/712, 5455/6786 i.e 1/2415816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2559/712, 5455/6786.
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 2559/712,5455/6786?
Given fractions are 2559/712,5455/6786
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 2559/712,5455/6786, numerators are 2559,5455
Denominators are 712,6786
The GCF of 2559,5455 is 1 .
LCM of 712,6786 is 2415816.
The greatest common factor of 2559/712,5455/6786 = [GCF of 2559,5455]/[LCM of 712,6786]= 1/2415816
Therefore, the GCF of 2559/712,5455/6786 is 1/2415816.
To find the highest common factor of 2559,5455, we have to find the factors of both numbers and list the highest common factor.
The factors of 2559 are 1, 3, 853, 2559
The factors of 5455 are 1, 5, 1091, 5455
The HCF of 2559,5455 is 1.
Lets's calculate GCF of 2559,5455
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2559,5455 By Matching Biggest Common Factor Method
Now, list down the factors of 2559
:1,3,853,2559
Now, list down the factors of 5455
:1,5,1091,5455
Greatest Common Factor
We found the factors 2559,5455 . The biggest common factor number is the GCF number.
So the greatest common factor 2559,5455 is 1.
Lets's calculate LCM of 712,6786
| 2 | 712, 6786 |
| 356, 3393 |
∴ So the LCM of the given numbers is 2 x 356 x 3393 = 2415816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2415816
Therefore, the GCF of Fractions 2559/712,5455/6786 is 1/2415816
Least Common Multiple of 712,6786 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 712,6786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,6786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(712,6786) x common factors =2 x 1 = 2
LCM(712,6786) = ( 712 × 6786 ) / 2
LCM(712,6786) = 4831632 / 2
LCM(712,6786) = 2415816
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FAQs on GCF of Fractions of 2559/712, 5455/6786
1. What is the HCF of 2559,5455?
The HCF of 2559,5455 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 2559/712, 5455/6786?
Answer: GCF of Numerators as per given numbers 2559/712, 5455/6786 is
GCF of Numerators i.e. for 2559,5455 is 1
LCM of denominators i.e. for 712,6786 is 2415816.
Thus, GCF of Fractions is 1/2415816.Finally, GCF of Fractions for 2559/712, 5455/6786 is 1/2415816.