GCF of 3124/671, 9667/1451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3124/671, 9667/1451 i.e 1/973621 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3124/671, 9667/1451.
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 3124/671,9667/1451?
Given fractions are 3124/671,9667/1451
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 3124/671,9667/1451, numerators are 3124,9667
Denominators are 671,1451
The GCF of 3124,9667 is 1 .
LCM of 671,1451 is 973621.
The greatest common factor of 3124/671,9667/1451 = [GCF of 3124,9667]/[LCM of 671,1451]= 1/973621
Therefore, the GCF of 3124/671,9667/1451 is 1/973621.
To find the highest common factor of 3124,9667, we have to find the factors of both numbers and list the highest common factor.
The factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124
The factors of 9667 are 1, 7, 1381, 9667
The HCF of 3124,9667 is 1.
Lets's calculate GCF of 3124,9667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3124,9667 By Matching Biggest Common Factor Method
Now, list down the factors of 3124
:1,2,4,11,22,44,71,142,284,781,1562,3124
Now, list down the factors of 9667
:1,7,1381,9667
Greatest Common Factor
We found the factors 3124,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 3124,9667 is 1.
Lets's calculate LCM of 671,1451
Given numbers has no common factors except 1. So, there LCM is their product i.e 973621
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/973621
Therefore, the GCF of Fractions 3124/671,9667/1451 is 1/973621
Least Common Multiple of 671,1451 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 671,1451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,1451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,1451) x common factors =1 x 1 = 1
LCM(671,1451) = ( 671 × 1451 ) / 1
LCM(671,1451) = 973621 / 1
LCM(671,1451) = 973621
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FAQs on GCF of Fractions of 3124/671, 9667/1451
1. What is the HCF of 3124,9667?
The HCF of 3124,9667 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 3124/671, 9667/1451?
Answer: GCF of Numerators as per given numbers 3124/671, 9667/1451 is
GCF of Numerators i.e. for 3124,9667 is 1
LCM of denominators i.e. for 671,1451 is 973621.
Thus, GCF of Fractions is 1/973621.Finally, GCF of Fractions for 3124/671, 9667/1451 is 1/973621.