GCF of 7735/824, 3824/1969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7735/824, 3824/1969 i.e 1/1622456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7735/824, 3824/1969.
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 7735/824,3824/1969?
Given fractions are 7735/824,3824/1969
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 7735/824,3824/1969, numerators are 7735,3824
Denominators are 824,1969
The GCF of 7735,3824 is 1 .
LCM of 824,1969 is 1622456.
The greatest common factor of 7735/824,3824/1969 = [GCF of 7735,3824]/[LCM of 824,1969]= 1/1622456
Therefore, the GCF of 7735/824,3824/1969 is 1/1622456.
To find the highest common factor of 7735,3824, we have to find the factors of both numbers and list the highest common factor.
The factors of 7735 are 1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735
The factors of 3824 are 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824
The HCF of 7735,3824 is 1.
Lets's calculate GCF of 7735,3824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7735,3824 By Matching Biggest Common Factor Method
Now, list down the factors of 7735
:1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735
Now, list down the factors of 3824
:1,2,4,8,16,239,478,956,1912,3824
Greatest Common Factor
We found the factors 7735,3824 . The biggest common factor number is the GCF number.
So the greatest common factor 7735,3824 is 1.
Lets's calculate LCM of 824,1969
Given numbers has no common factors except 1. So, there LCM is their product i.e 1622456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1622456
Therefore, the GCF of Fractions 7735/824,3824/1969 is 1/1622456
Least Common Multiple of 824,1969 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 824,1969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,1969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,1969) x common factors =1 x 1 = 1
LCM(824,1969) = ( 824 × 1969 ) / 1
LCM(824,1969) = 1622456 / 1
LCM(824,1969) = 1622456
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7735/824, 3824/1969
1. What is the HCF of 7735,3824?
The HCF of 7735,3824 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 7735/824, 3824/1969?
Answer: GCF of Numerators as per given numbers 7735/824, 3824/1969 is
GCF of Numerators i.e. for 7735,3824 is 1
LCM of denominators i.e. for 824,1969 is 1622456.
Thus, GCF of Fractions is 1/1622456.Finally, GCF of Fractions for 7735/824, 3824/1969 is 1/1622456.