GCF of 5273/873, 3485/8585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5273/873, 3485/8585 i.e 1/7494705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5273/873, 3485/8585.
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 5273/873,3485/8585?
Given fractions are 5273/873,3485/8585
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 5273/873,3485/8585, numerators are 5273,3485
Denominators are 873,8585
The GCF of 5273,3485 is 1 .
LCM of 873,8585 is 7494705.
The greatest common factor of 5273/873,3485/8585 = [GCF of 5273,3485]/[LCM of 873,8585]= 1/7494705
Therefore, the GCF of 5273/873,3485/8585 is 1/7494705.
To find the highest common factor of 5273,3485, we have to find the factors of both numbers and list the highest common factor.
The factors of 5273 are 1, 5273
The factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485
The HCF of 5273,3485 is 1.
Lets's calculate GCF of 5273,3485
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5273,3485 By Matching Biggest Common Factor Method
Now, list down the factors of 5273
:1,5273
Now, list down the factors of 3485
:1,5,17,41,85,205,697,3485
Greatest Common Factor
We found the factors 5273,3485 . The biggest common factor number is the GCF number.
So the greatest common factor 5273,3485 is 1.
Lets's calculate LCM of 873,8585
Given numbers has no common factors except 1. So, there LCM is their product i.e 7494705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7494705
Therefore, the GCF of Fractions 5273/873,3485/8585 is 1/7494705
Least Common Multiple of 873,8585 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 873,8585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,8585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,8585) x common factors =1 x 1 = 1
LCM(873,8585) = ( 873 × 8585 ) / 1
LCM(873,8585) = 7494705 / 1
LCM(873,8585) = 7494705
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FAQs on GCF of Fractions of 5273/873, 3485/8585
1. What is the HCF of 5273,3485?
The HCF of 5273,3485 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 5273/873, 3485/8585?
Answer: GCF of Numerators as per given numbers 5273/873, 3485/8585 is
GCF of Numerators i.e. for 5273,3485 is 1
LCM of denominators i.e. for 873,8585 is 7494705.
Thus, GCF of Fractions is 1/7494705.Finally, GCF of Fractions for 5273/873, 3485/8585 is 1/7494705.