GCF of 8939/119, 5258/5608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8939/119, 5258/5608 i.e 1/667352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8939/119, 5258/5608.
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 8939/119,5258/5608?
Given fractions are 8939/119,5258/5608
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 8939/119,5258/5608, numerators are 8939,5258
Denominators are 119,5608
The GCF of 8939,5258 is 1 .
LCM of 119,5608 is 667352.
The greatest common factor of 8939/119,5258/5608 = [GCF of 8939,5258]/[LCM of 119,5608]= 1/667352
Therefore, the GCF of 8939/119,5258/5608 is 1/667352.
To find the highest common factor of 8939,5258, we have to find the factors of both numbers and list the highest common factor.
The factors of 8939 are 1, 7, 1277, 8939
The factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258
The HCF of 8939,5258 is 1.
Lets's calculate GCF of 8939,5258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8939,5258 By Matching Biggest Common Factor Method
Now, list down the factors of 8939
:1,7,1277,8939
Now, list down the factors of 5258
:1,2,11,22,239,478,2629,5258
Greatest Common Factor
We found the factors 8939,5258 . The biggest common factor number is the GCF number.
So the greatest common factor 8939,5258 is 1.
Lets's calculate LCM of 119,5608
Given numbers has no common factors except 1. So, there LCM is their product i.e 667352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667352
Therefore, the GCF of Fractions 8939/119,5258/5608 is 1/667352
Least Common Multiple of 119,5608 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 119,5608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,5608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,5608) x common factors =1 x 1 = 1
LCM(119,5608) = ( 119 × 5608 ) / 1
LCM(119,5608) = 667352 / 1
LCM(119,5608) = 667352
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FAQs on GCF of Fractions of 8939/119, 5258/5608
1. What is the HCF of 8939,5258?
The HCF of 8939,5258 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 8939/119, 5258/5608?
Answer: GCF of Numerators as per given numbers 8939/119, 5258/5608 is
GCF of Numerators i.e. for 8939,5258 is 1
LCM of denominators i.e. for 119,5608 is 667352.
Thus, GCF of Fractions is 1/667352.Finally, GCF of Fractions for 8939/119, 5258/5608 is 1/667352.