GCF of 2777/872, 4625/247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2777/872, 4625/247 i.e 1/215384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2777/872, 4625/247.
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 2777/872,4625/247?
Given fractions are 2777/872,4625/247
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 2777/872,4625/247, numerators are 2777,4625
Denominators are 872,247
The GCF of 2777,4625 is 1 .
LCM of 872,247 is 215384.
The greatest common factor of 2777/872,4625/247 = [GCF of 2777,4625]/[LCM of 872,247]= 1/215384
Therefore, the GCF of 2777/872,4625/247 is 1/215384.
To find the highest common factor of 2777,4625, we have to find the factors of both numbers and list the highest common factor.
The factors of 2777 are 1, 2777
The factors of 4625 are 1, 5, 25, 37, 125, 185, 925, 4625
The HCF of 2777,4625 is 1.
Lets's calculate GCF of 2777,4625
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2777,4625 By Matching Biggest Common Factor Method
Now, list down the factors of 2777
:1,2777
Now, list down the factors of 4625
:1,5,25,37,125,185,925,4625
Greatest Common Factor
We found the factors 2777,4625 . The biggest common factor number is the GCF number.
So the greatest common factor 2777,4625 is 1.
Lets's calculate LCM of 872,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 215384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215384
Therefore, the GCF of Fractions 2777/872,4625/247 is 1/215384
Least Common Multiple of 872,247 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 872,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,247) x common factors =1 x 1 = 1
LCM(872,247) = ( 872 × 247 ) / 1
LCM(872,247) = 215384 / 1
LCM(872,247) = 215384
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2777/872, 4625/247
1. What is the HCF of 2777,4625?
The HCF of 2777,4625 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 2777/872, 4625/247?
Answer: GCF of Numerators as per given numbers 2777/872, 4625/247 is
GCF of Numerators i.e. for 2777,4625 is 1
LCM of denominators i.e. for 872,247 is 215384.
Thus, GCF of Fractions is 1/215384.Finally, GCF of Fractions for 2777/872, 4625/247 is 1/215384.