GCF of 5268/296, 2263/6869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5268/296, 2263/6869 i.e 1/2033224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5268/296, 2263/6869.
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 5268/296,2263/6869?
Given fractions are 5268/296,2263/6869
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 5268/296,2263/6869, numerators are 5268,2263
Denominators are 296,6869
The GCF of 5268,2263 is 1 .
LCM of 296,6869 is 2033224.
The greatest common factor of 5268/296,2263/6869 = [GCF of 5268,2263]/[LCM of 296,6869]= 1/2033224
Therefore, the GCF of 5268/296,2263/6869 is 1/2033224.
To find the highest common factor of 5268,2263, we have to find the factors of both numbers and list the highest common factor.
The factors of 5268 are 1, 2, 3, 4, 6, 12, 439, 878, 1317, 1756, 2634, 5268
The factors of 2263 are 1, 31, 73, 2263
The HCF of 5268,2263 is 1.
Lets's calculate GCF of 5268,2263
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5268,2263 By Matching Biggest Common Factor Method
Now, list down the factors of 5268
:1,2,3,4,6,12,439,878,1317,1756,2634,5268
Now, list down the factors of 2263
:1,31,73,2263
Greatest Common Factor
We found the factors 5268,2263 . The biggest common factor number is the GCF number.
So the greatest common factor 5268,2263 is 1.
Lets's calculate LCM of 296,6869
Given numbers has no common factors except 1. So, there LCM is their product i.e 2033224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2033224
Therefore, the GCF of Fractions 5268/296,2263/6869 is 1/2033224
Least Common Multiple of 296,6869 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 296,6869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,6869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,6869) x common factors =1 x 1 = 1
LCM(296,6869) = ( 296 × 6869 ) / 1
LCM(296,6869) = 2033224 / 1
LCM(296,6869) = 2033224
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FAQs on GCF of Fractions of 5268/296, 2263/6869
1. What is the HCF of 5268,2263?
The HCF of 5268,2263 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 5268/296, 2263/6869?
Answer: GCF of Numerators as per given numbers 5268/296, 2263/6869 is
GCF of Numerators i.e. for 5268,2263 is 1
LCM of denominators i.e. for 296,6869 is 2033224.
Thus, GCF of Fractions is 1/2033224.Finally, GCF of Fractions for 5268/296, 2263/6869 is 1/2033224.