GCF of 7208/567, 3233/2893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7208/567, 3233/2893 i.e 53/1640331 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7208/567, 3233/2893.
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 7208/567,3233/2893?
Given fractions are 7208/567,3233/2893
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 7208/567,3233/2893, numerators are 7208,3233
Denominators are 567,2893
The GCF of 7208,3233 is 53 .
LCM of 567,2893 is 1640331.
The greatest common factor of 7208/567,3233/2893 = [GCF of 7208,3233]/[LCM of 567,2893]= 53/1640331
Therefore, the GCF of 7208/567,3233/2893 is 53/1640331.
To find the highest common factor of 7208,3233, we have to find the factors of both numbers and list the highest common factor.
The factors of 7208 are 1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208
The factors of 3233 are 1, 53, 61, 3233
The HCF of 7208,3233 is 53.
Lets's calculate GCF of 7208,3233
| 53 | 7208, 3233 |
| 136, 61 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 7208,3233 By Matching Biggest Common Factor Method
Now, list down the factors of 7208
:1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208
Now, list down the factors of 3233
:1,53,61,3233
Greatest Common Factor
We found the factors 7208,3233 . The biggest common factor number is the GCF number.
So the greatest common factor 7208,3233 is 53.
Lets's calculate LCM of 567,2893
Given numbers has no common factors except 1. So, there LCM is their product i.e 1640331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/1640331
Therefore, the GCF of Fractions 7208/567,3233/2893 is 53/1640331
Least Common Multiple of 567,2893 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 567,2893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,2893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,2893) x common factors =1 x 1 = 1
LCM(567,2893) = ( 567 × 2893 ) / 1
LCM(567,2893) = 1640331 / 1
LCM(567,2893) = 1640331
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FAQs on GCF of Fractions of 7208/567, 3233/2893
1. What is the HCF of 7208,3233?
The HCF of 7208,3233 is 53
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 7208/567, 3233/2893?
Answer: GCF of Numerators as per given numbers 7208/567, 3233/2893 is
GCF of Numerators i.e. for 7208,3233 is 53
LCM of denominators i.e. for 567,2893 is 1640331.
Thus, GCF of Fractions is 53/1640331.Finally, GCF of Fractions for 7208/567, 3233/2893 is 53/1640331.