GCF of 8533/191, 7208/7824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8533/191, 7208/7824 i.e 53/1494384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8533/191, 7208/7824.
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 8533/191,7208/7824?
Given fractions are 8533/191,7208/7824
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 8533/191,7208/7824, numerators are 8533,7208
Denominators are 191,7824
The GCF of 8533,7208 is 53 .
LCM of 191,7824 is 1494384.
The greatest common factor of 8533/191,7208/7824 = [GCF of 8533,7208]/[LCM of 191,7824]= 53/1494384
Therefore, the GCF of 8533/191,7208/7824 is 53/1494384.
To find the highest common factor of 8533,7208, we have to find the factors of both numbers and list the highest common factor.
The factors of 8533 are 1, 7, 23, 53, 161, 371, 1219, 8533
The factors of 7208 are 1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208
The HCF of 8533,7208 is 53.
Lets's calculate GCF of 8533,7208
| 53 | 8533, 7208 |
| 161, 136 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 8533,7208 By Matching Biggest Common Factor Method
Now, list down the factors of 8533
:1,7,23,53,161,371,1219,8533
Now, list down the factors of 7208
:1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208
Greatest Common Factor
We found the factors 8533,7208 . The biggest common factor number is the GCF number.
So the greatest common factor 8533,7208 is 53.
Lets's calculate LCM of 191,7824
Given numbers has no common factors except 1. So, there LCM is their product i.e 1494384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/1494384
Therefore, the GCF of Fractions 8533/191,7208/7824 is 53/1494384
Least Common Multiple of 191,7824 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 191,7824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,7824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,7824) x common factors =1 x 1 = 1
LCM(191,7824) = ( 191 × 7824 ) / 1
LCM(191,7824) = 1494384 / 1
LCM(191,7824) = 1494384
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FAQs on GCF of Fractions of 8533/191, 7208/7824
1. What is the HCF of 8533,7208?
The HCF of 8533,7208 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 8533/191, 7208/7824?
Answer: GCF of Numerators as per given numbers 8533/191, 7208/7824 is
GCF of Numerators i.e. for 8533,7208 is 53
LCM of denominators i.e. for 191,7824 is 1494384.
Thus, GCF of Fractions is 53/1494384.Finally, GCF of Fractions for 8533/191, 7208/7824 is 53/1494384.