GCF of 5353/653, 7266/2635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5353/653, 7266/2635 i.e 1/1720655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5353/653, 7266/2635.
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 5353/653,7266/2635?
Given fractions are 5353/653,7266/2635
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 5353/653,7266/2635, numerators are 5353,7266
Denominators are 653,2635
The GCF of 5353,7266 is 1 .
LCM of 653,2635 is 1720655.
The greatest common factor of 5353/653,7266/2635 = [GCF of 5353,7266]/[LCM of 653,2635]= 1/1720655
Therefore, the GCF of 5353/653,7266/2635 is 1/1720655.
To find the highest common factor of 5353,7266, we have to find the factors of both numbers and list the highest common factor.
The factors of 5353 are 1, 53, 101, 5353
The factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266
The HCF of 5353,7266 is 1.
Lets's calculate GCF of 5353,7266
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5353,7266 By Matching Biggest Common Factor Method
Now, list down the factors of 5353
:1,53,101,5353
Now, list down the factors of 7266
:1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266
Greatest Common Factor
We found the factors 5353,7266 . The biggest common factor number is the GCF number.
So the greatest common factor 5353,7266 is 1.
Lets's calculate LCM of 653,2635
Given numbers has no common factors except 1. So, there LCM is their product i.e 1720655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1720655
Therefore, the GCF of Fractions 5353/653,7266/2635 is 1/1720655
Least Common Multiple of 653,2635 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 653,2635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,2635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,2635) x common factors =1 x 1 = 1
LCM(653,2635) = ( 653 × 2635 ) / 1
LCM(653,2635) = 1720655 / 1
LCM(653,2635) = 1720655
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5353/653, 7266/2635
1. What is the HCF of 5353,7266?
The HCF of 5353,7266 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 5353/653, 7266/2635?
Answer: GCF of Numerators as per given numbers 5353/653, 7266/2635 is
GCF of Numerators i.e. for 5353,7266 is 1
LCM of denominators i.e. for 653,2635 is 1720655.
Thus, GCF of Fractions is 1/1720655.Finally, GCF of Fractions for 5353/653, 7266/2635 is 1/1720655.