GCF of 8762/993, 8906/489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8762/993, 8906/489 i.e 2/161859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8762/993, 8906/489.
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 8762/993,8906/489?
Given fractions are 8762/993,8906/489
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 8762/993,8906/489, numerators are 8762,8906
Denominators are 993,489
The GCF of 8762,8906 is 2 .
LCM of 993,489 is 161859.
The greatest common factor of 8762/993,8906/489 = [GCF of 8762,8906]/[LCM of 993,489]= 2/161859
Therefore, the GCF of 8762/993,8906/489 is 2/161859.
To find the highest common factor of 8762,8906, we have to find the factors of both numbers and list the highest common factor.
The factors of 8762 are 1, 2, 13, 26, 337, 674, 4381, 8762
The factors of 8906 are 1, 2, 61, 73, 122, 146, 4453, 8906
The HCF of 8762,8906 is 2.
Lets's calculate GCF of 8762,8906
| 2 | 8762, 8906 |
| 4381, 4453 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8762,8906 By Matching Biggest Common Factor Method
Now, list down the factors of 8762
:1,2,13,26,337,674,4381,8762
Now, list down the factors of 8906
:1,2,61,73,122,146,4453,8906
Greatest Common Factor
We found the factors 8762,8906 . The biggest common factor number is the GCF number.
So the greatest common factor 8762,8906 is 2.
Lets's calculate LCM of 993,489
| 3 | 993, 489 |
| 331, 163 |
∴ So the LCM of the given numbers is 3 x 331 x 163 = 161859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/161859
Therefore, the GCF of Fractions 8762/993,8906/489 is 2/161859
Least Common Multiple of 993,489 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 993,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,489) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(993,489) x common factors =3 x 1 = 3
LCM(993,489) = ( 993 × 489 ) / 3
LCM(993,489) = 485577 / 3
LCM(993,489) = 161859
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FAQs on GCF of Fractions of 8762/993, 8906/489
1. What is the HCF of 8762,8906?
The HCF of 8762,8906 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 8762/993, 8906/489?
Answer: GCF of Numerators as per given numbers 8762/993, 8906/489 is
GCF of Numerators i.e. for 8762,8906 is 2
LCM of denominators i.e. for 993,489 is 161859.
Thus, GCF of Fractions is 2/161859.Finally, GCF of Fractions for 8762/993, 8906/489 is 2/161859.