GCF of 7444/159, 8687/6274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7444/159, 8687/6274 i.e 1/997566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7444/159, 8687/6274.
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 7444/159,8687/6274?
Given fractions are 7444/159,8687/6274
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 7444/159,8687/6274, numerators are 7444,8687
Denominators are 159,6274
The GCF of 7444,8687 is 1 .
LCM of 159,6274 is 997566.
The greatest common factor of 7444/159,8687/6274 = [GCF of 7444,8687]/[LCM of 159,6274]= 1/997566
Therefore, the GCF of 7444/159,8687/6274 is 1/997566.
To find the highest common factor of 7444,8687, we have to find the factors of both numbers and list the highest common factor.
The factors of 7444 are 1, 2, 4, 1861, 3722, 7444
The factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687
The HCF of 7444,8687 is 1.
Lets's calculate GCF of 7444,8687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7444,8687 By Matching Biggest Common Factor Method
Now, list down the factors of 7444
:1,2,4,1861,3722,7444
Now, list down the factors of 8687
:1,7,17,73,119,511,1241,8687
Greatest Common Factor
We found the factors 7444,8687 . The biggest common factor number is the GCF number.
So the greatest common factor 7444,8687 is 1.
Lets's calculate LCM of 159,6274
Given numbers has no common factors except 1. So, there LCM is their product i.e 997566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/997566
Therefore, the GCF of Fractions 7444/159,8687/6274 is 1/997566
Least Common Multiple of 159,6274 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 159,6274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,6274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,6274) x common factors =1 x 1 = 1
LCM(159,6274) = ( 159 × 6274 ) / 1
LCM(159,6274) = 997566 / 1
LCM(159,6274) = 997566
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FAQs on GCF of Fractions of 7444/159, 8687/6274
1. What is the HCF of 7444,8687?
The HCF of 7444,8687 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 7444/159, 8687/6274?
Answer: GCF of Numerators as per given numbers 7444/159, 8687/6274 is
GCF of Numerators i.e. for 7444,8687 is 1
LCM of denominators i.e. for 159,6274 is 997566.
Thus, GCF of Fractions is 1/997566.Finally, GCF of Fractions for 7444/159, 8687/6274 is 1/997566.