GCF of 6989/937, 3471/2672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6989/937, 3471/2672 i.e 1/2503664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6989/937, 3471/2672.
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 6989/937,3471/2672?
Given fractions are 6989/937,3471/2672
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 6989/937,3471/2672, numerators are 6989,3471
Denominators are 937,2672
The GCF of 6989,3471 is 1 .
LCM of 937,2672 is 2503664.
The greatest common factor of 6989/937,3471/2672 = [GCF of 6989,3471]/[LCM of 937,2672]= 1/2503664
Therefore, the GCF of 6989/937,3471/2672 is 1/2503664.
To find the highest common factor of 6989,3471, we have to find the factors of both numbers and list the highest common factor.
The factors of 6989 are 1, 29, 241, 6989
The factors of 3471 are 1, 3, 13, 39, 89, 267, 1157, 3471
The HCF of 6989,3471 is 1.
Lets's calculate GCF of 6989,3471
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6989,3471 By Matching Biggest Common Factor Method
Now, list down the factors of 6989
:1,29,241,6989
Now, list down the factors of 3471
:1,3,13,39,89,267,1157,3471
Greatest Common Factor
We found the factors 6989,3471 . The biggest common factor number is the GCF number.
So the greatest common factor 6989,3471 is 1.
Lets's calculate LCM of 937,2672
Given numbers has no common factors except 1. So, there LCM is their product i.e 2503664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2503664
Therefore, the GCF of Fractions 6989/937,3471/2672 is 1/2503664
Least Common Multiple of 937,2672 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 937,2672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,2672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,2672) x common factors =1 x 1 = 1
LCM(937,2672) = ( 937 × 2672 ) / 1
LCM(937,2672) = 2503664 / 1
LCM(937,2672) = 2503664
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FAQs on GCF of Fractions of 6989/937, 3471/2672
1. What is the HCF of 6989,3471?
The HCF of 6989,3471 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 6989/937, 3471/2672?
Answer: GCF of Numerators as per given numbers 6989/937, 3471/2672 is
GCF of Numerators i.e. for 6989,3471 is 1
LCM of denominators i.e. for 937,2672 is 2503664.
Thus, GCF of Fractions is 1/2503664.Finally, GCF of Fractions for 6989/937, 3471/2672 is 1/2503664.