GCF of 2879/270, 5512/3897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2879/270, 5512/3897 i.e 1/116910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2879/270, 5512/3897.
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 2879/270,5512/3897?
Given fractions are 2879/270,5512/3897
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 2879/270,5512/3897, numerators are 2879,5512
Denominators are 270,3897
The GCF of 2879,5512 is 1 .
LCM of 270,3897 is 116910.
The greatest common factor of 2879/270,5512/3897 = [GCF of 2879,5512]/[LCM of 270,3897]= 1/116910
Therefore, the GCF of 2879/270,5512/3897 is 1/116910.
To find the highest common factor of 2879,5512, we have to find the factors of both numbers and list the highest common factor.
The factors of 2879 are 1, 2879
The factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512
The HCF of 2879,5512 is 1.
Lets's calculate GCF of 2879,5512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2879,5512 By Matching Biggest Common Factor Method
Now, list down the factors of 2879
:1,2879
Now, list down the factors of 5512
:1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512
Greatest Common Factor
We found the factors 2879,5512 . The biggest common factor number is the GCF number.
So the greatest common factor 2879,5512 is 1.
Lets's calculate LCM of 270,3897
| 3 | 270, 3897 |
| 3 | 90, 1299 |
| 30, 433 |
∴ So the LCM of the given numbers is 3 x 3 x 30 x 433 = 116910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116910
Therefore, the GCF of Fractions 2879/270,5512/3897 is 1/116910
Least Common Multiple of 270,3897 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 270,3897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,3897) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(270,3897) x common factors =9 x 1 = 9
LCM(270,3897) = ( 270 × 3897 ) / 9
LCM(270,3897) = 1052190 / 9
LCM(270,3897) = 116910
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FAQs on GCF of Fractions of 2879/270, 5512/3897
1. What is the HCF of 2879,5512?
The HCF of 2879,5512 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 2879/270, 5512/3897?
Answer: GCF of Numerators as per given numbers 2879/270, 5512/3897 is
GCF of Numerators i.e. for 2879,5512 is 1
LCM of denominators i.e. for 270,3897 is 116910.
Thus, GCF of Fractions is 1/116910.Finally, GCF of Fractions for 2879/270, 5512/3897 is 1/116910.