GCF of 8023/902, 7132/7653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8023/902, 7132/7653 i.e 1/6903006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8023/902, 7132/7653.
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 8023/902,7132/7653?
Given fractions are 8023/902,7132/7653
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 8023/902,7132/7653, numerators are 8023,7132
Denominators are 902,7653
The GCF of 8023,7132 is 1 .
LCM of 902,7653 is 6903006.
The greatest common factor of 8023/902,7132/7653 = [GCF of 8023,7132]/[LCM of 902,7653]= 1/6903006
Therefore, the GCF of 8023/902,7132/7653 is 1/6903006.
To find the highest common factor of 8023,7132, we have to find the factors of both numbers and list the highest common factor.
The factors of 8023 are 1, 71, 113, 8023
The factors of 7132 are 1, 2, 4, 1783, 3566, 7132
The HCF of 8023,7132 is 1.
Lets's calculate GCF of 8023,7132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8023,7132 By Matching Biggest Common Factor Method
Now, list down the factors of 8023
:1,71,113,8023
Now, list down the factors of 7132
:1,2,4,1783,3566,7132
Greatest Common Factor
We found the factors 8023,7132 . The biggest common factor number is the GCF number.
So the greatest common factor 8023,7132 is 1.
Lets's calculate LCM of 902,7653
Given numbers has no common factors except 1. So, there LCM is their product i.e 6903006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6903006
Therefore, the GCF of Fractions 8023/902,7132/7653 is 1/6903006
Least Common Multiple of 902,7653 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 902,7653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,7653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(902,7653) x common factors =1 x 1 = 1
LCM(902,7653) = ( 902 × 7653 ) / 1
LCM(902,7653) = 6903006 / 1
LCM(902,7653) = 6903006
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FAQs on GCF of Fractions of 8023/902, 7132/7653
1. What is the HCF of 8023,7132?
The HCF of 8023,7132 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 8023/902, 7132/7653?
Answer: GCF of Numerators as per given numbers 8023/902, 7132/7653 is
GCF of Numerators i.e. for 8023,7132 is 1
LCM of denominators i.e. for 902,7653 is 6903006.
Thus, GCF of Fractions is 1/6903006.Finally, GCF of Fractions for 8023/902, 7132/7653 is 1/6903006.