GCF of 5247/653, 5269/7384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5247/653, 5269/7384 i.e 11/4821752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5247/653, 5269/7384.
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 5247/653,5269/7384?
Given fractions are 5247/653,5269/7384
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 5247/653,5269/7384, numerators are 5247,5269
Denominators are 653,7384
The GCF of 5247,5269 is 11 .
LCM of 653,7384 is 4821752.
The greatest common factor of 5247/653,5269/7384 = [GCF of 5247,5269]/[LCM of 653,7384]= 11/4821752
Therefore, the GCF of 5247/653,5269/7384 is 11/4821752.
To find the highest common factor of 5247,5269, we have to find the factors of both numbers and list the highest common factor.
The factors of 5247 are 1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247
The factors of 5269 are 1, 11, 479, 5269
The HCF of 5247,5269 is 11.
Lets's calculate GCF of 5247,5269
| 11 | 5247, 5269 |
| 477, 479 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5247,5269 By Matching Biggest Common Factor Method
Now, list down the factors of 5247
:1,3,9,11,33,53,99,159,477,583,1749,5247
Now, list down the factors of 5269
:1,11,479,5269
Greatest Common Factor
We found the factors 5247,5269 . The biggest common factor number is the GCF number.
So the greatest common factor 5247,5269 is 11.
Lets's calculate LCM of 653,7384
Given numbers has no common factors except 1. So, there LCM is their product i.e 4821752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4821752
Therefore, the GCF of Fractions 5247/653,5269/7384 is 11/4821752
Least Common Multiple of 653,7384 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 653,7384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,7384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,7384) x common factors =1 x 1 = 1
LCM(653,7384) = ( 653 × 7384 ) / 1
LCM(653,7384) = 4821752 / 1
LCM(653,7384) = 4821752
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FAQs on GCF of Fractions of 5247/653, 5269/7384
1. What is the HCF of 5247,5269?
The HCF of 5247,5269 is 11
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 5247/653, 5269/7384?
Answer: GCF of Numerators as per given numbers 5247/653, 5269/7384 is
GCF of Numerators i.e. for 5247,5269 is 11
LCM of denominators i.e. for 653,7384 is 4821752.
Thus, GCF of Fractions is 11/4821752.Finally, GCF of Fractions for 5247/653, 5269/7384 is 11/4821752.