GCF of 7116/730, 1724/7259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7116/730, 1724/7259 i.e 4/5299070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7116/730, 1724/7259.
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 7116/730,1724/7259?
Given fractions are 7116/730,1724/7259
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 7116/730,1724/7259, numerators are 7116,1724
Denominators are 730,7259
The GCF of 7116,1724 is 4 .
LCM of 730,7259 is 5299070.
The greatest common factor of 7116/730,1724/7259 = [GCF of 7116,1724]/[LCM of 730,7259]= 4/5299070
Therefore, the GCF of 7116/730,1724/7259 is 4/5299070.
To find the highest common factor of 7116,1724, we have to find the factors of both numbers and list the highest common factor.
The factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116
The factors of 1724 are 1, 2, 4, 431, 862, 1724
The HCF of 7116,1724 is 4.
Lets's calculate GCF of 7116,1724
| 2 | 7116, 1724 |
| 2 | 3558, 862 |
| 1779, 431 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7116,1724 By Matching Biggest Common Factor Method
Now, list down the factors of 7116
:1,2,3,4,6,12,593,1186,1779,2372,3558,7116
Now, list down the factors of 1724
:1,2,4,431,862,1724
Greatest Common Factor
We found the factors 7116,1724 . The biggest common factor number is the GCF number.
So the greatest common factor 7116,1724 is 4.
Lets's calculate LCM of 730,7259
Given numbers has no common factors except 1. So, there LCM is their product i.e 5299070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5299070
Therefore, the GCF of Fractions 7116/730,1724/7259 is 4/5299070
Least Common Multiple of 730,7259 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 730,7259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,7259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(730,7259) x common factors =1 x 1 = 1
LCM(730,7259) = ( 730 × 7259 ) / 1
LCM(730,7259) = 5299070 / 1
LCM(730,7259) = 5299070
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FAQs on GCF of Fractions of 7116/730, 1724/7259
1. What is the HCF of 7116,1724?
The HCF of 7116,1724 is 4
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 7116/730, 1724/7259?
Answer: GCF of Numerators as per given numbers 7116/730, 1724/7259 is
GCF of Numerators i.e. for 7116,1724 is 4
LCM of denominators i.e. for 730,7259 is 5299070.
Thus, GCF of Fractions is 4/5299070.Finally, GCF of Fractions for 7116/730, 1724/7259 is 4/5299070.