GCF of 1328/758, 2641/6825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1328/758, 2641/6825 i.e 1/5173350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1328/758, 2641/6825.
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 1328/758,2641/6825?
Given fractions are 1328/758,2641/6825
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 1328/758,2641/6825, numerators are 1328,2641
Denominators are 758,6825
The GCF of 1328,2641 is 1 .
LCM of 758,6825 is 5173350.
The greatest common factor of 1328/758,2641/6825 = [GCF of 1328,2641]/[LCM of 758,6825]= 1/5173350
Therefore, the GCF of 1328/758,2641/6825 is 1/5173350.
To find the highest common factor of 1328,2641, we have to find the factors of both numbers and list the highest common factor.
The factors of 1328 are 1, 2, 4, 8, 16, 83, 166, 332, 664, 1328
The factors of 2641 are 1, 19, 139, 2641
The HCF of 1328,2641 is 1.
Lets's calculate GCF of 1328,2641
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1328,2641 By Matching Biggest Common Factor Method
Now, list down the factors of 1328
:1,2,4,8,16,83,166,332,664,1328
Now, list down the factors of 2641
:1,19,139,2641
Greatest Common Factor
We found the factors 1328,2641 . The biggest common factor number is the GCF number.
So the greatest common factor 1328,2641 is 1.
Lets's calculate LCM of 758,6825
Given numbers has no common factors except 1. So, there LCM is their product i.e 5173350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5173350
Therefore, the GCF of Fractions 1328/758,2641/6825 is 1/5173350
Least Common Multiple of 758,6825 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 758,6825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,6825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,6825) x common factors =1 x 1 = 1
LCM(758,6825) = ( 758 × 6825 ) / 1
LCM(758,6825) = 5173350 / 1
LCM(758,6825) = 5173350
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FAQs on GCF of Fractions of 1328/758, 2641/6825
1. What is the HCF of 1328,2641?
The HCF of 1328,2641 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 1328/758, 2641/6825?
Answer: GCF of Numerators as per given numbers 1328/758, 2641/6825 is
GCF of Numerators i.e. for 1328,2641 is 1
LCM of denominators i.e. for 758,6825 is 5173350.
Thus, GCF of Fractions is 1/5173350.Finally, GCF of Fractions for 1328/758, 2641/6825 is 1/5173350.