GCF of 8939/601, 8344/8956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8939/601, 8344/8956 i.e 7/5382556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8939/601, 8344/8956.
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 8939/601,8344/8956?
Given fractions are 8939/601,8344/8956
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 8939/601,8344/8956, numerators are 8939,8344
Denominators are 601,8956
The GCF of 8939,8344 is 7 .
LCM of 601,8956 is 5382556.
The greatest common factor of 8939/601,8344/8956 = [GCF of 8939,8344]/[LCM of 601,8956]= 7/5382556
Therefore, the GCF of 8939/601,8344/8956 is 7/5382556.
To find the highest common factor of 8939,8344, 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 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344
The HCF of 8939,8344 is 7.
Lets's calculate GCF of 8939,8344
| 7 | 8939, 8344 |
| 1277, 1192 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8939,8344 By Matching Biggest Common Factor Method
Now, list down the factors of 8939
:1,7,1277,8939
Now, list down the factors of 8344
:1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344
Greatest Common Factor
We found the factors 8939,8344 . The biggest common factor number is the GCF number.
So the greatest common factor 8939,8344 is 7.
Lets's calculate LCM of 601,8956
Given numbers has no common factors except 1. So, there LCM is their product i.e 5382556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5382556
Therefore, the GCF of Fractions 8939/601,8344/8956 is 7/5382556
Least Common Multiple of 601,8956 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 601,8956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,8956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,8956) x common factors =1 x 1 = 1
LCM(601,8956) = ( 601 × 8956 ) / 1
LCM(601,8956) = 5382556 / 1
LCM(601,8956) = 5382556
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FAQs on GCF of Fractions of 8939/601, 8344/8956
1. What is the HCF of 8939,8344?
The HCF of 8939,8344 is 7
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 8939/601, 8344/8956?
Answer: GCF of Numerators as per given numbers 8939/601, 8344/8956 is
GCF of Numerators i.e. for 8939,8344 is 7
LCM of denominators i.e. for 601,8956 is 5382556.
Thus, GCF of Fractions is 7/5382556.Finally, GCF of Fractions for 8939/601, 8344/8956 is 7/5382556.