GCF of 2759/528, 2277/3148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2759/528, 2277/3148 i.e 1/415536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2759/528, 2277/3148.
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 2759/528,2277/3148?
Given fractions are 2759/528,2277/3148
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 2759/528,2277/3148, numerators are 2759,2277
Denominators are 528,3148
The GCF of 2759,2277 is 1 .
LCM of 528,3148 is 415536.
The greatest common factor of 2759/528,2277/3148 = [GCF of 2759,2277]/[LCM of 528,3148]= 1/415536
Therefore, the GCF of 2759/528,2277/3148 is 1/415536.
To find the highest common factor of 2759,2277, we have to find the factors of both numbers and list the highest common factor.
The factors of 2759 are 1, 31, 89, 2759
The factors of 2277 are 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759, 2277
The HCF of 2759,2277 is 1.
Lets's calculate GCF of 2759,2277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2759,2277 By Matching Biggest Common Factor Method
Now, list down the factors of 2759
:1,31,89,2759
Now, list down the factors of 2277
:1,3,9,11,23,33,69,99,207,253,759,2277
Greatest Common Factor
We found the factors 2759,2277 . The biggest common factor number is the GCF number.
So the greatest common factor 2759,2277 is 1.
Lets's calculate LCM of 528,3148
| 2 | 528, 3148 |
| 2 | 264, 1574 |
| 132, 787 |
∴ So the LCM of the given numbers is 2 x 2 x 132 x 787 = 415536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/415536
Therefore, the GCF of Fractions 2759/528,2277/3148 is 1/415536
Least Common Multiple of 528,3148 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 528,3148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,3148) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(528,3148) x common factors =4 x 1 = 4
LCM(528,3148) = ( 528 × 3148 ) / 4
LCM(528,3148) = 1662144 / 4
LCM(528,3148) = 415536
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FAQs on GCF of Fractions of 2759/528, 2277/3148
1. What is the HCF of 2759,2277?
The HCF of 2759,2277 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 2759/528, 2277/3148?
Answer: GCF of Numerators as per given numbers 2759/528, 2277/3148 is
GCF of Numerators i.e. for 2759,2277 is 1
LCM of denominators i.e. for 528,3148 is 415536.
Thus, GCF of Fractions is 1/415536.Finally, GCF of Fractions for 2759/528, 2277/3148 is 1/415536.