GCF of 7553/910, 6498/3639
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7553/910, 6498/3639 i.e 1/3311490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7553/910, 6498/3639.
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 7553/910,6498/3639?
Given fractions are 7553/910,6498/3639
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 7553/910,6498/3639, numerators are 7553,6498
Denominators are 910,3639
The GCF of 7553,6498 is 1 .
LCM of 910,3639 is 3311490.
The greatest common factor of 7553/910,6498/3639 = [GCF of 7553,6498]/[LCM of 910,3639]= 1/3311490
Therefore, the GCF of 7553/910,6498/3639 is 1/3311490.
To find the highest common factor of 7553,6498, we have to find the factors of both numbers and list the highest common factor.
The factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553
The factors of 6498 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342, 361, 722, 1083, 2166, 3249, 6498
The HCF of 7553,6498 is 1.
Lets's calculate GCF of 7553,6498
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7553,6498 By Matching Biggest Common Factor Method
Now, list down the factors of 7553
:1,7,13,83,91,581,1079,7553
Now, list down the factors of 6498
:1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498
Greatest Common Factor
We found the factors 7553,6498 . The biggest common factor number is the GCF number.
So the greatest common factor 7553,6498 is 1.
Lets's calculate LCM of 910,3639
Given numbers has no common factors except 1. So, there LCM is their product i.e 3311490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3311490
Therefore, the GCF of Fractions 7553/910,6498/3639 is 1/3311490
Least Common Multiple of 910,3639 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 910,3639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,3639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,3639) x common factors =1 x 1 = 1
LCM(910,3639) = ( 910 × 3639 ) / 1
LCM(910,3639) = 3311490 / 1
LCM(910,3639) = 3311490
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7553/910, 6498/3639
1. What is the HCF of 7553,6498?
The HCF of 7553,6498 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 7553/910, 6498/3639?
Answer: GCF of Numerators as per given numbers 7553/910, 6498/3639 is
GCF of Numerators i.e. for 7553,6498 is 1
LCM of denominators i.e. for 910,3639 is 3311490.
Thus, GCF of Fractions is 1/3311490.Finally, GCF of Fractions for 7553/910, 6498/3639 is 1/3311490.