GCF of 2792/725, 1991/5576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2792/725, 1991/5576 i.e 1/4042600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2792/725, 1991/5576.
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 2792/725,1991/5576?
Given fractions are 2792/725,1991/5576
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 2792/725,1991/5576, numerators are 2792,1991
Denominators are 725,5576
The GCF of 2792,1991 is 1 .
LCM of 725,5576 is 4042600.
The greatest common factor of 2792/725,1991/5576 = [GCF of 2792,1991]/[LCM of 725,5576]= 1/4042600
Therefore, the GCF of 2792/725,1991/5576 is 1/4042600.
To find the highest common factor of 2792,1991, we have to find the factors of both numbers and list the highest common factor.
The factors of 2792 are 1, 2, 4, 8, 349, 698, 1396, 2792
The factors of 1991 are 1, 11, 181, 1991
The HCF of 2792,1991 is 1.
Lets's calculate GCF of 2792,1991
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2792,1991 By Matching Biggest Common Factor Method
Now, list down the factors of 2792
:1,2,4,8,349,698,1396,2792
Now, list down the factors of 1991
:1,11,181,1991
Greatest Common Factor
We found the factors 2792,1991 . The biggest common factor number is the GCF number.
So the greatest common factor 2792,1991 is 1.
Lets's calculate LCM of 725,5576
Given numbers has no common factors except 1. So, there LCM is their product i.e 4042600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4042600
Therefore, the GCF of Fractions 2792/725,1991/5576 is 1/4042600
Least Common Multiple of 725,5576 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 725,5576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,5576) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,5576) x common factors =1 x 1 = 1
LCM(725,5576) = ( 725 × 5576 ) / 1
LCM(725,5576) = 4042600 / 1
LCM(725,5576) = 4042600
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FAQs on GCF of Fractions of 2792/725, 1991/5576
1. What is the HCF of 2792,1991?
The HCF of 2792,1991 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 2792/725, 1991/5576?
Answer: GCF of Numerators as per given numbers 2792/725, 1991/5576 is
GCF of Numerators i.e. for 2792,1991 is 1
LCM of denominators i.e. for 725,5576 is 4042600.
Thus, GCF of Fractions is 1/4042600.Finally, GCF of Fractions for 2792/725, 1991/5576 is 1/4042600.