GCF of 2043/749, 8086/7623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2043/749, 8086/7623 i.e 1/815661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2043/749, 8086/7623.
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 2043/749,8086/7623?
Given fractions are 2043/749,8086/7623
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 2043/749,8086/7623, numerators are 2043,8086
Denominators are 749,7623
The GCF of 2043,8086 is 1 .
LCM of 749,7623 is 815661.
The greatest common factor of 2043/749,8086/7623 = [GCF of 2043,8086]/[LCM of 749,7623]= 1/815661
Therefore, the GCF of 2043/749,8086/7623 is 1/815661.
To find the highest common factor of 2043,8086, we have to find the factors of both numbers and list the highest common factor.
The factors of 2043 are 1, 3, 9, 227, 681, 2043
The factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086
The HCF of 2043,8086 is 1.
Lets's calculate GCF of 2043,8086
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2043,8086 By Matching Biggest Common Factor Method
Now, list down the factors of 2043
:1,3,9,227,681,2043
Now, list down the factors of 8086
:1,2,13,26,311,622,4043,8086
Greatest Common Factor
We found the factors 2043,8086 . The biggest common factor number is the GCF number.
So the greatest common factor 2043,8086 is 1.
Lets's calculate LCM of 749,7623
| 7 | 749, 7623 |
| 107, 1089 |
∴ So the LCM of the given numbers is 7 x 107 x 1089 = 815661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/815661
Therefore, the GCF of Fractions 2043/749,8086/7623 is 1/815661
Least Common Multiple of 749,7623 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 749,7623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,7623) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,7623) x common factors =7 x 1 = 7
LCM(749,7623) = ( 749 × 7623 ) / 7
LCM(749,7623) = 5709627 / 7
LCM(749,7623) = 815661
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FAQs on GCF of Fractions of 2043/749, 8086/7623
1. What is the HCF of 2043,8086?
The HCF of 2043,8086 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 2043/749, 8086/7623?
Answer: GCF of Numerators as per given numbers 2043/749, 8086/7623 is
GCF of Numerators i.e. for 2043,8086 is 1
LCM of denominators i.e. for 749,7623 is 815661.
Thus, GCF of Fractions is 1/815661.Finally, GCF of Fractions for 2043/749, 8086/7623 is 1/815661.