GCF of 4319/853, 2564/3012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4319/853, 2564/3012 i.e 1/2569236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4319/853, 2564/3012.
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 4319/853,2564/3012?
Given fractions are 4319/853,2564/3012
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 4319/853,2564/3012, numerators are 4319,2564
Denominators are 853,3012
The GCF of 4319,2564 is 1 .
LCM of 853,3012 is 2569236.
The greatest common factor of 4319/853,2564/3012 = [GCF of 4319,2564]/[LCM of 853,3012]= 1/2569236
Therefore, the GCF of 4319/853,2564/3012 is 1/2569236.
To find the highest common factor of 4319,2564, we have to find the factors of both numbers and list the highest common factor.
The factors of 4319 are 1, 7, 617, 4319
The factors of 2564 are 1, 2, 4, 641, 1282, 2564
The HCF of 4319,2564 is 1.
Lets's calculate GCF of 4319,2564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4319,2564 By Matching Biggest Common Factor Method
Now, list down the factors of 4319
:1,7,617,4319
Now, list down the factors of 2564
:1,2,4,641,1282,2564
Greatest Common Factor
We found the factors 4319,2564 . The biggest common factor number is the GCF number.
So the greatest common factor 4319,2564 is 1.
Lets's calculate LCM of 853,3012
Given numbers has no common factors except 1. So, there LCM is their product i.e 2569236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2569236
Therefore, the GCF of Fractions 4319/853,2564/3012 is 1/2569236
Least Common Multiple of 853,3012 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 853,3012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,3012) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,3012) x common factors =1 x 1 = 1
LCM(853,3012) = ( 853 × 3012 ) / 1
LCM(853,3012) = 2569236 / 1
LCM(853,3012) = 2569236
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FAQs on GCF of Fractions of 4319/853, 2564/3012
1. What is the HCF of 4319,2564?
The HCF of 4319,2564 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 4319/853, 2564/3012?
Answer: GCF of Numerators as per given numbers 4319/853, 2564/3012 is
GCF of Numerators i.e. for 4319,2564 is 1
LCM of denominators i.e. for 853,3012 is 2569236.
Thus, GCF of Fractions is 1/2569236.Finally, GCF of Fractions for 4319/853, 2564/3012 is 1/2569236.