GCF of 5398/340, 1752/3923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5398/340, 1752/3923 i.e 2/1333820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5398/340, 1752/3923.
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 5398/340,1752/3923?
Given fractions are 5398/340,1752/3923
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 5398/340,1752/3923, numerators are 5398,1752
Denominators are 340,3923
The GCF of 5398,1752 is 2 .
LCM of 340,3923 is 1333820.
The greatest common factor of 5398/340,1752/3923 = [GCF of 5398,1752]/[LCM of 340,3923]= 2/1333820
Therefore, the GCF of 5398/340,1752/3923 is 2/1333820.
To find the highest common factor of 5398,1752, we have to find the factors of both numbers and list the highest common factor.
The factors of 5398 are 1, 2, 2699, 5398
The factors of 1752 are 1, 2, 3, 4, 6, 8, 12, 24, 73, 146, 219, 292, 438, 584, 876, 1752
The HCF of 5398,1752 is 2.
Lets's calculate GCF of 5398,1752
| 2 | 5398, 1752 |
| 2699, 876 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5398,1752 By Matching Biggest Common Factor Method
Now, list down the factors of 5398
:1,2,2699,5398
Now, list down the factors of 1752
:1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752
Greatest Common Factor
We found the factors 5398,1752 . The biggest common factor number is the GCF number.
So the greatest common factor 5398,1752 is 2.
Lets's calculate LCM of 340,3923
Given numbers has no common factors except 1. So, there LCM is their product i.e 1333820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1333820
Therefore, the GCF of Fractions 5398/340,1752/3923 is 2/1333820
Least Common Multiple of 340,3923 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 340,3923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,3923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,3923) x common factors =1 x 1 = 1
LCM(340,3923) = ( 340 × 3923 ) / 1
LCM(340,3923) = 1333820 / 1
LCM(340,3923) = 1333820
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FAQs on GCF of Fractions of 5398/340, 1752/3923
1. What is the HCF of 5398,1752?
The HCF of 5398,1752 is 2
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 5398/340, 1752/3923?
Answer: GCF of Numerators as per given numbers 5398/340, 1752/3923 is
GCF of Numerators i.e. for 5398,1752 is 2
LCM of denominators i.e. for 340,3923 is 1333820.
Thus, GCF of Fractions is 2/1333820.Finally, GCF of Fractions for 5398/340, 1752/3923 is 2/1333820.