GCF of 1928/952, 7699/1738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1928/952, 7699/1738 i.e 1/827288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1928/952, 7699/1738.
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 1928/952,7699/1738?
Given fractions are 1928/952,7699/1738
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 1928/952,7699/1738, numerators are 1928,7699
Denominators are 952,1738
The GCF of 1928,7699 is 1 .
LCM of 952,1738 is 827288.
The greatest common factor of 1928/952,7699/1738 = [GCF of 1928,7699]/[LCM of 952,1738]= 1/827288
Therefore, the GCF of 1928/952,7699/1738 is 1/827288.
To find the highest common factor of 1928,7699, we have to find the factors of both numbers and list the highest common factor.
The factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928
The factors of 7699 are 1, 7699
The HCF of 1928,7699 is 1.
Lets's calculate GCF of 1928,7699
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1928,7699 By Matching Biggest Common Factor Method
Now, list down the factors of 1928
:1,2,4,8,241,482,964,1928
Now, list down the factors of 7699
:1,7699
Greatest Common Factor
We found the factors 1928,7699 . The biggest common factor number is the GCF number.
So the greatest common factor 1928,7699 is 1.
Lets's calculate LCM of 952,1738
| 2 | 952, 1738 |
| 476, 869 |
∴ So the LCM of the given numbers is 2 x 476 x 869 = 827288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/827288
Therefore, the GCF of Fractions 1928/952,7699/1738 is 1/827288
Least Common Multiple of 952,1738 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 952,1738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,1738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(952,1738) x common factors =2 x 1 = 2
LCM(952,1738) = ( 952 × 1738 ) / 2
LCM(952,1738) = 1654576 / 2
LCM(952,1738) = 827288
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1928/952, 7699/1738
1. What is the HCF of 1928,7699?
The HCF of 1928,7699 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 1928/952, 7699/1738?
Answer: GCF of Numerators as per given numbers 1928/952, 7699/1738 is
GCF of Numerators i.e. for 1928,7699 is 1
LCM of denominators i.e. for 952,1738 is 827288.
Thus, GCF of Fractions is 1/827288.Finally, GCF of Fractions for 1928/952, 7699/1738 is 1/827288.