GCF of 6495/121, 5342/8760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6495/121, 5342/8760 i.e 1/1059960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6495/121, 5342/8760.
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 6495/121,5342/8760?
Given fractions are 6495/121,5342/8760
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 6495/121,5342/8760, numerators are 6495,5342
Denominators are 121,8760
The GCF of 6495,5342 is 1 .
LCM of 121,8760 is 1059960.
The greatest common factor of 6495/121,5342/8760 = [GCF of 6495,5342]/[LCM of 121,8760]= 1/1059960
Therefore, the GCF of 6495/121,5342/8760 is 1/1059960.
To find the highest common factor of 6495,5342, we have to find the factors of both numbers and list the highest common factor.
The factors of 6495 are 1, 3, 5, 15, 433, 1299, 2165, 6495
The factors of 5342 are 1, 2, 2671, 5342
The HCF of 6495,5342 is 1.
Lets's calculate GCF of 6495,5342
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6495,5342 By Matching Biggest Common Factor Method
Now, list down the factors of 6495
:1,3,5,15,433,1299,2165,6495
Now, list down the factors of 5342
:1,2,2671,5342
Greatest Common Factor
We found the factors 6495,5342 . The biggest common factor number is the GCF number.
So the greatest common factor 6495,5342 is 1.
Lets's calculate LCM of 121,8760
Given numbers has no common factors except 1. So, there LCM is their product i.e 1059960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1059960
Therefore, the GCF of Fractions 6495/121,5342/8760 is 1/1059960
Least Common Multiple of 121,8760 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 121,8760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,8760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,8760) x common factors =1 x 1 = 1
LCM(121,8760) = ( 121 × 8760 ) / 1
LCM(121,8760) = 1059960 / 1
LCM(121,8760) = 1059960
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FAQs on GCF of Fractions of 6495/121, 5342/8760
1. What is the HCF of 6495,5342?
The HCF of 6495,5342 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 6495/121, 5342/8760?
Answer: GCF of Numerators as per given numbers 6495/121, 5342/8760 is
GCF of Numerators i.e. for 6495,5342 is 1
LCM of denominators i.e. for 121,8760 is 1059960.
Thus, GCF of Fractions is 1/1059960.Finally, GCF of Fractions for 6495/121, 5342/8760 is 1/1059960.