GCF of 8986/749, 1626/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8986/749, 1626/320 i.e 2/239680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8986/749, 1626/320.
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 8986/749,1626/320?
Given fractions are 8986/749,1626/320
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 8986/749,1626/320, numerators are 8986,1626
Denominators are 749,320
The GCF of 8986,1626 is 2 .
LCM of 749,320 is 239680.
The greatest common factor of 8986/749,1626/320 = [GCF of 8986,1626]/[LCM of 749,320]= 2/239680
Therefore, the GCF of 8986/749,1626/320 is 2/239680.
To find the highest common factor of 8986,1626, we have to find the factors of both numbers and list the highest common factor.
The factors of 8986 are 1, 2, 4493, 8986
The factors of 1626 are 1, 2, 3, 6, 271, 542, 813, 1626
The HCF of 8986,1626 is 2.
Lets's calculate GCF of 8986,1626
| 2 | 8986, 1626 |
| 4493, 813 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8986,1626 By Matching Biggest Common Factor Method
Now, list down the factors of 8986
:1,2,4493,8986
Now, list down the factors of 1626
:1,2,3,6,271,542,813,1626
Greatest Common Factor
We found the factors 8986,1626 . The biggest common factor number is the GCF number.
So the greatest common factor 8986,1626 is 2.
Lets's calculate LCM of 749,320
Given numbers has no common factors except 1. So, there LCM is their product i.e 239680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/239680
Therefore, the GCF of Fractions 8986/749,1626/320 is 2/239680
Least Common Multiple of 749,320 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 749,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,320) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,320) x common factors =1 x 1 = 1
LCM(749,320) = ( 749 × 320 ) / 1
LCM(749,320) = 239680 / 1
LCM(749,320) = 239680
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FAQs on GCF of Fractions of 8986/749, 1626/320
1. What is the HCF of 8986,1626?
The HCF of 8986,1626 is 2
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 8986/749, 1626/320?
Answer: GCF of Numerators as per given numbers 8986/749, 1626/320 is
GCF of Numerators i.e. for 8986,1626 is 2
LCM of denominators i.e. for 749,320 is 239680.
Thus, GCF of Fractions is 2/239680.Finally, GCF of Fractions for 8986/749, 1626/320 is 2/239680.