GCF of 5213/363, 5472/6874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5213/363, 5472/6874 i.e 1/2495262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5213/363, 5472/6874.
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 5213/363,5472/6874?
Given fractions are 5213/363,5472/6874
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 5213/363,5472/6874, numerators are 5213,5472
Denominators are 363,6874
The GCF of 5213,5472 is 1 .
LCM of 363,6874 is 2495262.
The greatest common factor of 5213/363,5472/6874 = [GCF of 5213,5472]/[LCM of 363,6874]= 1/2495262
Therefore, the GCF of 5213/363,5472/6874 is 1/2495262.
To find the highest common factor of 5213,5472, we have to find the factors of both numbers and list the highest common factor.
The factors of 5213 are 1, 13, 401, 5213
The factors of 5472 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472
The HCF of 5213,5472 is 1.
Lets's calculate GCF of 5213,5472
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5213,5472 By Matching Biggest Common Factor Method
Now, list down the factors of 5213
:1,13,401,5213
Now, list down the factors of 5472
:1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472
Greatest Common Factor
We found the factors 5213,5472 . The biggest common factor number is the GCF number.
So the greatest common factor 5213,5472 is 1.
Lets's calculate LCM of 363,6874
Given numbers has no common factors except 1. So, there LCM is their product i.e 2495262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2495262
Therefore, the GCF of Fractions 5213/363,5472/6874 is 1/2495262
Least Common Multiple of 363,6874 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 363,6874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,6874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,6874) x common factors =1 x 1 = 1
LCM(363,6874) = ( 363 × 6874 ) / 1
LCM(363,6874) = 2495262 / 1
LCM(363,6874) = 2495262
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FAQs on GCF of Fractions of 5213/363, 5472/6874
1. What is the HCF of 5213,5472?
The HCF of 5213,5472 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 5213/363, 5472/6874?
Answer: GCF of Numerators as per given numbers 5213/363, 5472/6874 is
GCF of Numerators i.e. for 5213,5472 is 1
LCM of denominators i.e. for 363,6874 is 2495262.
Thus, GCF of Fractions is 1/2495262.Finally, GCF of Fractions for 5213/363, 5472/6874 is 1/2495262.