GCF of 8062/890, 7974/2009
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8062/890, 7974/2009 i.e 2/1788010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8062/890, 7974/2009.
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 8062/890,7974/2009?
Given fractions are 8062/890,7974/2009
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 8062/890,7974/2009, numerators are 8062,7974
Denominators are 890,2009
The GCF of 8062,7974 is 2 .
LCM of 890,2009 is 1788010.
The greatest common factor of 8062/890,7974/2009 = [GCF of 8062,7974]/[LCM of 890,2009]= 2/1788010
Therefore, the GCF of 8062/890,7974/2009 is 2/1788010.
To find the highest common factor of 8062,7974, we have to find the factors of both numbers and list the highest common factor.
The factors of 8062 are 1, 2, 29, 58, 139, 278, 4031, 8062
The factors of 7974 are 1, 2, 3, 6, 9, 18, 443, 886, 1329, 2658, 3987, 7974
The HCF of 8062,7974 is 2.
Lets's calculate GCF of 8062,7974
| 2 | 8062, 7974 |
| 4031, 3987 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8062,7974 By Matching Biggest Common Factor Method
Now, list down the factors of 8062
:1,2,29,58,139,278,4031,8062
Now, list down the factors of 7974
:1,2,3,6,9,18,443,886,1329,2658,3987,7974
Greatest Common Factor
We found the factors 8062,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 8062,7974 is 2.
Lets's calculate LCM of 890,2009
Given numbers has no common factors except 1. So, there LCM is their product i.e 1788010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1788010
Therefore, the GCF of Fractions 8062/890,7974/2009 is 2/1788010
Least Common Multiple of 890,2009 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 890,2009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,2009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(890,2009) x common factors =1 x 1 = 1
LCM(890,2009) = ( 890 × 2009 ) / 1
LCM(890,2009) = 1788010 / 1
LCM(890,2009) = 1788010
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FAQs on GCF of Fractions of 8062/890, 7974/2009
1. What is the HCF of 8062,7974?
The HCF of 8062,7974 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 8062/890, 7974/2009?
Answer: GCF of Numerators as per given numbers 8062/890, 7974/2009 is
GCF of Numerators i.e. for 8062,7974 is 2
LCM of denominators i.e. for 890,2009 is 1788010.
Thus, GCF of Fractions is 2/1788010.Finally, GCF of Fractions for 8062/890, 7974/2009 is 2/1788010.