GCF of 2783/749, 2663/8054
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2783/749, 2663/8054 i.e 1/6032446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2783/749, 2663/8054.
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 2783/749,2663/8054?
Given fractions are 2783/749,2663/8054
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 2783/749,2663/8054, numerators are 2783,2663
Denominators are 749,8054
The GCF of 2783,2663 is 1 .
LCM of 749,8054 is 6032446.
The greatest common factor of 2783/749,2663/8054 = [GCF of 2783,2663]/[LCM of 749,8054]= 1/6032446
Therefore, the GCF of 2783/749,2663/8054 is 1/6032446.
To find the highest common factor of 2783,2663, we have to find the factors of both numbers and list the highest common factor.
The factors of 2783 are 1, 11, 23, 121, 253, 2783
The factors of 2663 are 1, 2663
The HCF of 2783,2663 is 1.
Lets's calculate GCF of 2783,2663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2783,2663 By Matching Biggest Common Factor Method
Now, list down the factors of 2783
:1,11,23,121,253,2783
Now, list down the factors of 2663
:1,2663
Greatest Common Factor
We found the factors 2783,2663 . The biggest common factor number is the GCF number.
So the greatest common factor 2783,2663 is 1.
Lets's calculate LCM of 749,8054
Given numbers has no common factors except 1. So, there LCM is their product i.e 6032446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6032446
Therefore, the GCF of Fractions 2783/749,2663/8054 is 1/6032446
Least Common Multiple of 749,8054 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 749,8054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,8054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,8054) x common factors =1 x 1 = 1
LCM(749,8054) = ( 749 × 8054 ) / 1
LCM(749,8054) = 6032446 / 1
LCM(749,8054) = 6032446
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FAQs on GCF of Fractions of 2783/749, 2663/8054
1. What is the HCF of 2783,2663?
The HCF of 2783,2663 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 2783/749, 2663/8054?
Answer: GCF of Numerators as per given numbers 2783/749, 2663/8054 is
GCF of Numerators i.e. for 2783,2663 is 1
LCM of denominators i.e. for 749,8054 is 6032446.
Thus, GCF of Fractions is 1/6032446.Finally, GCF of Fractions for 2783/749, 2663/8054 is 1/6032446.