GCF of 9263/763, 3514/643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9263/763, 3514/643 i.e 1/490609 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9263/763, 3514/643.
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 9263/763,3514/643?
Given fractions are 9263/763,3514/643
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 9263/763,3514/643, numerators are 9263,3514
Denominators are 763,643
The GCF of 9263,3514 is 1 .
LCM of 763,643 is 490609.
The greatest common factor of 9263/763,3514/643 = [GCF of 9263,3514]/[LCM of 763,643]= 1/490609
Therefore, the GCF of 9263/763,3514/643 is 1/490609.
To find the highest common factor of 9263,3514, we have to find the factors of both numbers and list the highest common factor.
The factors of 9263 are 1, 59, 157, 9263
The factors of 3514 are 1, 2, 7, 14, 251, 502, 1757, 3514
The HCF of 9263,3514 is 1.
Lets's calculate GCF of 9263,3514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9263,3514 By Matching Biggest Common Factor Method
Now, list down the factors of 9263
:1,59,157,9263
Now, list down the factors of 3514
:1,2,7,14,251,502,1757,3514
Greatest Common Factor
We found the factors 9263,3514 . The biggest common factor number is the GCF number.
So the greatest common factor 9263,3514 is 1.
Lets's calculate LCM of 763,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 490609
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/490609
Therefore, the GCF of Fractions 9263/763,3514/643 is 1/490609
Least Common Multiple of 763,643 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 763,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,643) x common factors =1 x 1 = 1
LCM(763,643) = ( 763 × 643 ) / 1
LCM(763,643) = 490609 / 1
LCM(763,643) = 490609
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FAQs on GCF of Fractions of 9263/763, 3514/643
1. What is the HCF of 9263,3514?
The HCF of 9263,3514 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 9263/763, 3514/643?
Answer: GCF of Numerators as per given numbers 9263/763, 3514/643 is
GCF of Numerators i.e. for 9263,3514 is 1
LCM of denominators i.e. for 763,643 is 490609.
Thus, GCF of Fractions is 1/490609.Finally, GCF of Fractions for 9263/763, 3514/643 is 1/490609.