GCF of 5635/139, 8838/9431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5635/139, 8838/9431 i.e 1/1310909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5635/139, 8838/9431.
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 5635/139,8838/9431?
Given fractions are 5635/139,8838/9431
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 5635/139,8838/9431, numerators are 5635,8838
Denominators are 139,9431
The GCF of 5635,8838 is 1 .
LCM of 139,9431 is 1310909.
The greatest common factor of 5635/139,8838/9431 = [GCF of 5635,8838]/[LCM of 139,9431]= 1/1310909
Therefore, the GCF of 5635/139,8838/9431 is 1/1310909.
To find the highest common factor of 5635,8838, we have to find the factors of both numbers and list the highest common factor.
The factors of 5635 are 1, 5, 7, 23, 35, 49, 115, 161, 245, 805, 1127, 5635
The factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838
The HCF of 5635,8838 is 1.
Lets's calculate GCF of 5635,8838
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5635,8838 By Matching Biggest Common Factor Method
Now, list down the factors of 5635
:1,5,7,23,35,49,115,161,245,805,1127,5635
Now, list down the factors of 8838
:1,2,3,6,9,18,491,982,1473,2946,4419,8838
Greatest Common Factor
We found the factors 5635,8838 . The biggest common factor number is the GCF number.
So the greatest common factor 5635,8838 is 1.
Lets's calculate LCM of 139,9431
Given numbers has no common factors except 1. So, there LCM is their product i.e 1310909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1310909
Therefore, the GCF of Fractions 5635/139,8838/9431 is 1/1310909
Least Common Multiple of 139,9431 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 139,9431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,9431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,9431) x common factors =1 x 1 = 1
LCM(139,9431) = ( 139 × 9431 ) / 1
LCM(139,9431) = 1310909 / 1
LCM(139,9431) = 1310909
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FAQs on GCF of Fractions of 5635/139, 8838/9431
1. What is the HCF of 5635,8838?
The HCF of 5635,8838 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 5635/139, 8838/9431?
Answer: GCF of Numerators as per given numbers 5635/139, 8838/9431 is
GCF of Numerators i.e. for 5635,8838 is 1
LCM of denominators i.e. for 139,9431 is 1310909.
Thus, GCF of Fractions is 1/1310909.Finally, GCF of Fractions for 5635/139, 8838/9431 is 1/1310909.