GCF of 7208/717, 5069/1356
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7208/717, 5069/1356 i.e 1/324084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7208/717, 5069/1356.
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 7208/717,5069/1356?
Given fractions are 7208/717,5069/1356
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 7208/717,5069/1356, numerators are 7208,5069
Denominators are 717,1356
The GCF of 7208,5069 is 1 .
LCM of 717,1356 is 324084.
The greatest common factor of 7208/717,5069/1356 = [GCF of 7208,5069]/[LCM of 717,1356]= 1/324084
Therefore, the GCF of 7208/717,5069/1356 is 1/324084.
To find the highest common factor of 7208,5069, 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 5069 are 1, 37, 137, 5069
The HCF of 7208,5069 is 1.
Lets's calculate GCF of 7208,5069
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7208,5069 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 5069
:1,37,137,5069
Greatest Common Factor
We found the factors 7208,5069 . The biggest common factor number is the GCF number.
So the greatest common factor 7208,5069 is 1.
Lets's calculate LCM of 717,1356
| 3 | 717, 1356 |
| 239, 452 |
∴ So the LCM of the given numbers is 3 x 239 x 452 = 324084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324084
Therefore, the GCF of Fractions 7208/717,5069/1356 is 1/324084
Least Common Multiple of 717,1356 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 717,1356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,1356) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,1356) x common factors =3 x 1 = 3
LCM(717,1356) = ( 717 × 1356 ) / 3
LCM(717,1356) = 972252 / 3
LCM(717,1356) = 324084
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FAQs on GCF of Fractions of 7208/717, 5069/1356
1. What is the HCF of 7208,5069?
The HCF of 7208,5069 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 7208/717, 5069/1356?
Answer: GCF of Numerators as per given numbers 7208/717, 5069/1356 is
GCF of Numerators i.e. for 7208,5069 is 1
LCM of denominators i.e. for 717,1356 is 324084.
Thus, GCF of Fractions is 1/324084.Finally, GCF of Fractions for 7208/717, 5069/1356 is 1/324084.