GCF of 628/34, 777/877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 628/34, 777/877 i.e 1/29818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/34, 777/877.
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 628/34,777/877?
Given fractions are 628/34,777/877
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 628/34,777/877, numerators are 628,777
Denominators are 34,877
The GCF of 628,777 is 1 .
LCM of 34,877 is 29818.
The greatest common factor of 628/34,777/877 = [GCF of 628,777]/[LCM of 34,877]= 1/29818
Therefore, the GCF of 628/34,777/877 is 1/29818.
To find the highest common factor of 628,777, we have to find the factors of both numbers and list the highest common factor.
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777
The HCF of 628,777 is 1.
Lets's calculate GCF of 628,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 628,777 By Matching Biggest Common Factor Method
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 777
:1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 628,777 . The biggest common factor number is the GCF number.
So the greatest common factor 628,777 is 1.
Lets's calculate LCM of 34,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 29818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29818
Therefore, the GCF of Fractions 628/34,777/877 is 1/29818
Least Common Multiple of 34,877 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 34,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,877) x common factors =1 x 1 = 1
LCM(34,877) = ( 34 × 877 ) / 1
LCM(34,877) = 29818 / 1
LCM(34,877) = 29818
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 628/34, 777/877
1. What is the HCF of 628,777?
The HCF of 628,777 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 628/34, 777/877?
Answer: GCF of Numerators as per given numbers 628/34, 777/877 is
GCF of Numerators i.e. for 628,777 is 1
LCM of denominators i.e. for 34,877 is 29818.
Thus, GCF of Fractions is 1/29818.Finally, GCF of Fractions for 628/34, 777/877 is 1/29818.