GCF of 5797/984, 4972/7495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5797/984, 4972/7495 i.e 11/7375080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5797/984, 4972/7495.
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 5797/984,4972/7495?
Given fractions are 5797/984,4972/7495
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 5797/984,4972/7495, numerators are 5797,4972
Denominators are 984,7495
The GCF of 5797,4972 is 11 .
LCM of 984,7495 is 7375080.
The greatest common factor of 5797/984,4972/7495 = [GCF of 5797,4972]/[LCM of 984,7495]= 11/7375080
Therefore, the GCF of 5797/984,4972/7495 is 11/7375080.
To find the highest common factor of 5797,4972, we have to find the factors of both numbers and list the highest common factor.
The factors of 5797 are 1, 11, 17, 31, 187, 341, 527, 5797
The factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972
The HCF of 5797,4972 is 11.
Lets's calculate GCF of 5797,4972
| 11 | 5797, 4972 |
| 527, 452 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5797,4972 By Matching Biggest Common Factor Method
Now, list down the factors of 5797
:1,11,17,31,187,341,527,5797
Now, list down the factors of 4972
:1,2,4,11,22,44,113,226,452,1243,2486,4972
Greatest Common Factor
We found the factors 5797,4972 . The biggest common factor number is the GCF number.
So the greatest common factor 5797,4972 is 11.
Lets's calculate LCM of 984,7495
Given numbers has no common factors except 1. So, there LCM is their product i.e 7375080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/7375080
Therefore, the GCF of Fractions 5797/984,4972/7495 is 11/7375080
Least Common Multiple of 984,7495 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 984,7495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,7495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(984,7495) x common factors =1 x 1 = 1
LCM(984,7495) = ( 984 × 7495 ) / 1
LCM(984,7495) = 7375080 / 1
LCM(984,7495) = 7375080
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FAQs on GCF of Fractions of 5797/984, 4972/7495
1. What is the HCF of 5797,4972?
The HCF of 5797,4972 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 5797/984, 4972/7495?
Answer: GCF of Numerators as per given numbers 5797/984, 4972/7495 is
GCF of Numerators i.e. for 5797,4972 is 11
LCM of denominators i.e. for 984,7495 is 7375080.
Thus, GCF of Fractions is 11/7375080.Finally, GCF of Fractions for 5797/984, 4972/7495 is 11/7375080.