GCF of 795/326, 6526/5929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 795/326, 6526/5929 i.e 1/1932854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 795/326, 6526/5929.
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 795/326,6526/5929?
Given fractions are 795/326,6526/5929
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 795/326,6526/5929, numerators are 795,6526
Denominators are 326,5929
The GCF of 795,6526 is 1 .
LCM of 326,5929 is 1932854.
The greatest common factor of 795/326,6526/5929 = [GCF of 795,6526]/[LCM of 326,5929]= 1/1932854
Therefore, the GCF of 795/326,6526/5929 is 1/1932854.
To find the highest common factor of 795,6526, we have to find the factors of both numbers and list the highest common factor.
The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795
The factors of 6526 are 1, 2, 13, 26, 251, 502, 3263, 6526
The HCF of 795,6526 is 1.
Lets's calculate GCF of 795,6526
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 795,6526 By Matching Biggest Common Factor Method
Now, list down the factors of 795
:1,3,5,15,53,159,265,795
Now, list down the factors of 6526
:1,2,13,26,251,502,3263,6526
Greatest Common Factor
We found the factors 795,6526 . The biggest common factor number is the GCF number.
So the greatest common factor 795,6526 is 1.
Lets's calculate LCM of 326,5929
Given numbers has no common factors except 1. So, there LCM is their product i.e 1932854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1932854
Therefore, the GCF of Fractions 795/326,6526/5929 is 1/1932854
Least Common Multiple of 326,5929 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 326,5929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,5929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,5929) x common factors =1 x 1 = 1
LCM(326,5929) = ( 326 × 5929 ) / 1
LCM(326,5929) = 1932854 / 1
LCM(326,5929) = 1932854
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FAQs on GCF of Fractions of 795/326, 6526/5929
1. What is the HCF of 795,6526?
The HCF of 795,6526 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 795/326, 6526/5929?
Answer: GCF of Numerators as per given numbers 795/326, 6526/5929 is
GCF of Numerators i.e. for 795,6526 is 1
LCM of denominators i.e. for 326,5929 is 1932854.
Thus, GCF of Fractions is 1/1932854.Finally, GCF of Fractions for 795/326, 6526/5929 is 1/1932854.