GCF of 641/31, 828/4900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 641/31, 828/4900 i.e 1/151900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 641/31, 828/4900.
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 641/31,828/4900?
Given fractions are 641/31,828/4900
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 641/31,828/4900, numerators are 641,828
Denominators are 31,4900
The GCF of 641,828 is 1 .
LCM of 31,4900 is 151900.
The greatest common factor of 641/31,828/4900 = [GCF of 641,828]/[LCM of 31,4900]= 1/151900
Therefore, the GCF of 641/31,828/4900 is 1/151900.
To find the highest common factor of 641,828, we have to find the factors of both numbers and list the highest common factor.
The factors of 641 are 1, 641
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The HCF of 641,828 is 1.
Lets's calculate GCF of 641,828
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 641,828 By Matching Biggest Common Factor Method
Now, list down the factors of 641
:1,641
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 641,828 . The biggest common factor number is the GCF number.
So the greatest common factor 641,828 is 1.
Lets's calculate LCM of 31,4900
Given numbers has no common factors except 1. So, there LCM is their product i.e 151900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151900
Therefore, the GCF of Fractions 641/31,828/4900 is 1/151900
Least Common Multiple of 31,4900 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 31,4900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,4900) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,4900) x common factors =1 x 1 = 1
LCM(31,4900) = ( 31 × 4900 ) / 1
LCM(31,4900) = 151900 / 1
LCM(31,4900) = 151900
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FAQs on GCF of Fractions of 641/31, 828/4900
1. What is the HCF of 641,828?
The HCF of 641,828 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 641/31, 828/4900?
Answer: GCF of Numerators as per given numbers 641/31, 828/4900 is
GCF of Numerators i.e. for 641,828 is 1
LCM of denominators i.e. for 31,4900 is 151900.
Thus, GCF of Fractions is 1/151900.Finally, GCF of Fractions for 641/31, 828/4900 is 1/151900.