GCF of 7248/216, 6321/5759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7248/216, 6321/5759 i.e 3/1243944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7248/216, 6321/5759.
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 7248/216,6321/5759?
Given fractions are 7248/216,6321/5759
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 7248/216,6321/5759, numerators are 7248,6321
Denominators are 216,5759
The GCF of 7248,6321 is 3 .
LCM of 216,5759 is 1243944.
The greatest common factor of 7248/216,6321/5759 = [GCF of 7248,6321]/[LCM of 216,5759]= 3/1243944
Therefore, the GCF of 7248/216,6321/5759 is 3/1243944.
To find the highest common factor of 7248,6321, we have to find the factors of both numbers and list the highest common factor.
The factors of 7248 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248
The factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321
The HCF of 7248,6321 is 3.
Lets's calculate GCF of 7248,6321
| 3 | 7248, 6321 |
| 2416, 2107 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7248,6321 By Matching Biggest Common Factor Method
Now, list down the factors of 7248
:1,2,3,4,6,8,12,16,24,48,151,302,453,604,906,1208,1812,2416,3624,7248
Now, list down the factors of 6321
:1,3,7,21,43,49,129,147,301,903,2107,6321
Greatest Common Factor
We found the factors 7248,6321 . The biggest common factor number is the GCF number.
So the greatest common factor 7248,6321 is 3.
Lets's calculate LCM of 216,5759
Given numbers has no common factors except 1. So, there LCM is their product i.e 1243944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1243944
Therefore, the GCF of Fractions 7248/216,6321/5759 is 3/1243944
Least Common Multiple of 216,5759 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 216,5759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,5759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(216,5759) x common factors =1 x 1 = 1
LCM(216,5759) = ( 216 × 5759 ) / 1
LCM(216,5759) = 1243944 / 1
LCM(216,5759) = 1243944
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FAQs on GCF of Fractions of 7248/216, 6321/5759
1. What is the HCF of 7248,6321?
The HCF of 7248,6321 is 3
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 7248/216, 6321/5759?
Answer: GCF of Numerators as per given numbers 7248/216, 6321/5759 is
GCF of Numerators i.e. for 7248,6321 is 3
LCM of denominators i.e. for 216,5759 is 1243944.
Thus, GCF of Fractions is 3/1243944.Finally, GCF of Fractions for 7248/216, 6321/5759 is 3/1243944.