GCF of 629/157, 200/657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 629/157, 200/657 i.e 1/103149 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/157, 200/657.
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 629/157,200/657?
Given fractions are 629/157,200/657
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 629/157,200/657, numerators are 629,200
Denominators are 157,657
The GCF of 629,200 is 1 .
LCM of 157,657 is 103149.
The greatest common factor of 629/157,200/657 = [GCF of 629,200]/[LCM of 157,657]= 1/103149
Therefore, the GCF of 629/157,200/657 is 1/103149.
To find the highest common factor of 629,200, we have to find the factors of both numbers and list the highest common factor.
The factors of 629 are 1, 17, 37, 629
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The HCF of 629,200 is 1.
Lets's calculate GCF of 629,200
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 629,200 By Matching Biggest Common Factor Method
Now, list down the factors of 629
:1,17,37,629
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 629,200 . The biggest common factor number is the GCF number.
So the greatest common factor 629,200 is 1.
Lets's calculate LCM of 157,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 103149
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103149
Therefore, the GCF of Fractions 629/157,200/657 is 1/103149
Least Common Multiple of 157,657 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 157,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,657) x common factors =1 x 1 = 1
LCM(157,657) = ( 157 × 657 ) / 1
LCM(157,657) = 103149 / 1
LCM(157,657) = 103149
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 629/157, 200/657
1. What is the HCF of 629,200?
The HCF of 629,200 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 629/157, 200/657?
Answer: GCF of Numerators as per given numbers 629/157, 200/657 is
GCF of Numerators i.e. for 629,200 is 1
LCM of denominators i.e. for 157,657 is 103149.
Thus, GCF of Fractions is 1/103149.Finally, GCF of Fractions for 629/157, 200/657 is 1/103149.