GCF of 7111/942, 5289/9764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7111/942, 5289/9764 i.e 1/4598844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7111/942, 5289/9764.
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 7111/942,5289/9764?
Given fractions are 7111/942,5289/9764
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 7111/942,5289/9764, numerators are 7111,5289
Denominators are 942,9764
The GCF of 7111,5289 is 1 .
LCM of 942,9764 is 4598844.
The greatest common factor of 7111/942,5289/9764 = [GCF of 7111,5289]/[LCM of 942,9764]= 1/4598844
Therefore, the GCF of 7111/942,5289/9764 is 1/4598844.
To find the highest common factor of 7111,5289, we have to find the factors of both numbers and list the highest common factor.
The factors of 7111 are 1, 13, 547, 7111
The factors of 5289 are 1, 3, 41, 43, 123, 129, 1763, 5289
The HCF of 7111,5289 is 1.
Lets's calculate GCF of 7111,5289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7111,5289 By Matching Biggest Common Factor Method
Now, list down the factors of 7111
:1,13,547,7111
Now, list down the factors of 5289
:1,3,41,43,123,129,1763,5289
Greatest Common Factor
We found the factors 7111,5289 . The biggest common factor number is the GCF number.
So the greatest common factor 7111,5289 is 1.
Lets's calculate LCM of 942,9764
| 2 | 942, 9764 |
| 471, 4882 |
∴ So the LCM of the given numbers is 2 x 471 x 4882 = 4598844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4598844
Therefore, the GCF of Fractions 7111/942,5289/9764 is 1/4598844
Least Common Multiple of 942,9764 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 942,9764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,9764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,9764) x common factors =2 x 1 = 2
LCM(942,9764) = ( 942 × 9764 ) / 2
LCM(942,9764) = 9197688 / 2
LCM(942,9764) = 4598844
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FAQs on GCF of Fractions of 7111/942, 5289/9764
1. What is the HCF of 7111,5289?
The HCF of 7111,5289 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 7111/942, 5289/9764?
Answer: GCF of Numerators as per given numbers 7111/942, 5289/9764 is
GCF of Numerators i.e. for 7111,5289 is 1
LCM of denominators i.e. for 942,9764 is 4598844.
Thus, GCF of Fractions is 1/4598844.Finally, GCF of Fractions for 7111/942, 5289/9764 is 1/4598844.