GCF of 7939/766, 5784/2863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7939/766, 5784/2863 i.e 1/2193058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7939/766, 5784/2863.
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 7939/766,5784/2863?
Given fractions are 7939/766,5784/2863
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 7939/766,5784/2863, numerators are 7939,5784
Denominators are 766,2863
The GCF of 7939,5784 is 1 .
LCM of 766,2863 is 2193058.
The greatest common factor of 7939/766,5784/2863 = [GCF of 7939,5784]/[LCM of 766,2863]= 1/2193058
Therefore, the GCF of 7939/766,5784/2863 is 1/2193058.
To find the highest common factor of 7939,5784, we have to find the factors of both numbers and list the highest common factor.
The factors of 7939 are 1, 17, 467, 7939
The factors of 5784 are 1, 2, 3, 4, 6, 8, 12, 24, 241, 482, 723, 964, 1446, 1928, 2892, 5784
The HCF of 7939,5784 is 1.
Lets's calculate GCF of 7939,5784
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7939,5784 By Matching Biggest Common Factor Method
Now, list down the factors of 7939
:1,17,467,7939
Now, list down the factors of 5784
:1,2,3,4,6,8,12,24,241,482,723,964,1446,1928,2892,5784
Greatest Common Factor
We found the factors 7939,5784 . The biggest common factor number is the GCF number.
So the greatest common factor 7939,5784 is 1.
Lets's calculate LCM of 766,2863
Given numbers has no common factors except 1. So, there LCM is their product i.e 2193058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2193058
Therefore, the GCF of Fractions 7939/766,5784/2863 is 1/2193058
Least Common Multiple of 766,2863 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 766,2863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,2863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,2863) x common factors =1 x 1 = 1
LCM(766,2863) = ( 766 × 2863 ) / 1
LCM(766,2863) = 2193058 / 1
LCM(766,2863) = 2193058
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FAQs on GCF of Fractions of 7939/766, 5784/2863
1. What is the HCF of 7939,5784?
The HCF of 7939,5784 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 7939/766, 5784/2863?
Answer: GCF of Numerators as per given numbers 7939/766, 5784/2863 is
GCF of Numerators i.e. for 7939,5784 is 1
LCM of denominators i.e. for 766,2863 is 2193058.
Thus, GCF of Fractions is 1/2193058.Finally, GCF of Fractions for 7939/766, 5784/2863 is 1/2193058.