GCF of 8767/992, 1781/2743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8767/992, 1781/2743 i.e 1/2721056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8767/992, 1781/2743.
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 8767/992,1781/2743?
Given fractions are 8767/992,1781/2743
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 8767/992,1781/2743, numerators are 8767,1781
Denominators are 992,2743
The GCF of 8767,1781 is 1 .
LCM of 992,2743 is 2721056.
The greatest common factor of 8767/992,1781/2743 = [GCF of 8767,1781]/[LCM of 992,2743]= 1/2721056
Therefore, the GCF of 8767/992,1781/2743 is 1/2721056.
To find the highest common factor of 8767,1781, we have to find the factors of both numbers and list the highest common factor.
The factors of 8767 are 1, 11, 797, 8767
The factors of 1781 are 1, 13, 137, 1781
The HCF of 8767,1781 is 1.
Lets's calculate GCF of 8767,1781
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8767,1781 By Matching Biggest Common Factor Method
Now, list down the factors of 8767
:1,11,797,8767
Now, list down the factors of 1781
:1,13,137,1781
Greatest Common Factor
We found the factors 8767,1781 . The biggest common factor number is the GCF number.
So the greatest common factor 8767,1781 is 1.
Lets's calculate LCM of 992,2743
Given numbers has no common factors except 1. So, there LCM is their product i.e 2721056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2721056
Therefore, the GCF of Fractions 8767/992,1781/2743 is 1/2721056
Least Common Multiple of 992,2743 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 992,2743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,2743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(992,2743) x common factors =1 x 1 = 1
LCM(992,2743) = ( 992 × 2743 ) / 1
LCM(992,2743) = 2721056 / 1
LCM(992,2743) = 2721056
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FAQs on GCF of Fractions of 8767/992, 1781/2743
1. What is the HCF of 8767,1781?
The HCF of 8767,1781 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 8767/992, 1781/2743?
Answer: GCF of Numerators as per given numbers 8767/992, 1781/2743 is
GCF of Numerators i.e. for 8767,1781 is 1
LCM of denominators i.e. for 992,2743 is 2721056.
Thus, GCF of Fractions is 1/2721056.Finally, GCF of Fractions for 8767/992, 1781/2743 is 1/2721056.