GCF of 2276/586, 5213/1297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2276/586, 5213/1297 i.e 1/760042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2276/586, 5213/1297.
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 2276/586,5213/1297?
Given fractions are 2276/586,5213/1297
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 2276/586,5213/1297, numerators are 2276,5213
Denominators are 586,1297
The GCF of 2276,5213 is 1 .
LCM of 586,1297 is 760042.
The greatest common factor of 2276/586,5213/1297 = [GCF of 2276,5213]/[LCM of 586,1297]= 1/760042
Therefore, the GCF of 2276/586,5213/1297 is 1/760042.
To find the highest common factor of 2276,5213, we have to find the factors of both numbers and list the highest common factor.
The factors of 2276 are 1, 2, 4, 569, 1138, 2276
The factors of 5213 are 1, 13, 401, 5213
The HCF of 2276,5213 is 1.
Lets's calculate GCF of 2276,5213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2276,5213 By Matching Biggest Common Factor Method
Now, list down the factors of 2276
:1,2,4,569,1138,2276
Now, list down the factors of 5213
:1,13,401,5213
Greatest Common Factor
We found the factors 2276,5213 . The biggest common factor number is the GCF number.
So the greatest common factor 2276,5213 is 1.
Lets's calculate LCM of 586,1297
Given numbers has no common factors except 1. So, there LCM is their product i.e 760042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760042
Therefore, the GCF of Fractions 2276/586,5213/1297 is 1/760042
Least Common Multiple of 586,1297 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 586,1297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,1297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,1297) x common factors =1 x 1 = 1
LCM(586,1297) = ( 586 × 1297 ) / 1
LCM(586,1297) = 760042 / 1
LCM(586,1297) = 760042
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FAQs on GCF of Fractions of 2276/586, 5213/1297
1. What is the HCF of 2276,5213?
The HCF of 2276,5213 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 2276/586, 5213/1297?
Answer: GCF of Numerators as per given numbers 2276/586, 5213/1297 is
GCF of Numerators i.e. for 2276,5213 is 1
LCM of denominators i.e. for 586,1297 is 760042.
Thus, GCF of Fractions is 1/760042.Finally, GCF of Fractions for 2276/586, 5213/1297 is 1/760042.