GCF of 8939/371, 6614/597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8939/371, 6614/597 i.e 1/221487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8939/371, 6614/597.
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 8939/371,6614/597?
Given fractions are 8939/371,6614/597
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 8939/371,6614/597, numerators are 8939,6614
Denominators are 371,597
The GCF of 8939,6614 is 1 .
LCM of 371,597 is 221487.
The greatest common factor of 8939/371,6614/597 = [GCF of 8939,6614]/[LCM of 371,597]= 1/221487
Therefore, the GCF of 8939/371,6614/597 is 1/221487.
To find the highest common factor of 8939,6614, 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 6614 are 1, 2, 3307, 6614
The HCF of 8939,6614 is 1.
Lets's calculate GCF of 8939,6614
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8939,6614 By Matching Biggest Common Factor Method
Now, list down the factors of 8939
:1,7,1277,8939
Now, list down the factors of 6614
:1,2,3307,6614
Greatest Common Factor
We found the factors 8939,6614 . The biggest common factor number is the GCF number.
So the greatest common factor 8939,6614 is 1.
Lets's calculate LCM of 371,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 221487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221487
Therefore, the GCF of Fractions 8939/371,6614/597 is 1/221487
Least Common Multiple of 371,597 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 371,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,597) x common factors =1 x 1 = 1
LCM(371,597) = ( 371 × 597 ) / 1
LCM(371,597) = 221487 / 1
LCM(371,597) = 221487
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FAQs on GCF of Fractions of 8939/371, 6614/597
1. What is the HCF of 8939,6614?
The HCF of 8939,6614 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 8939/371, 6614/597?
Answer: GCF of Numerators as per given numbers 8939/371, 6614/597 is
GCF of Numerators i.e. for 8939,6614 is 1
LCM of denominators i.e. for 371,597 is 221487.
Thus, GCF of Fractions is 1/221487.Finally, GCF of Fractions for 8939/371, 6614/597 is 1/221487.