GCF of 6608/261, 6522/3815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6608/261, 6522/3815 i.e 2/995715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6608/261, 6522/3815.
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 6608/261,6522/3815?
Given fractions are 6608/261,6522/3815
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 6608/261,6522/3815, numerators are 6608,6522
Denominators are 261,3815
The GCF of 6608,6522 is 2 .
LCM of 261,3815 is 995715.
The greatest common factor of 6608/261,6522/3815 = [GCF of 6608,6522]/[LCM of 261,3815]= 2/995715
Therefore, the GCF of 6608/261,6522/3815 is 2/995715.
To find the highest common factor of 6608,6522, we have to find the factors of both numbers and list the highest common factor.
The factors of 6608 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304, 6608
The factors of 6522 are 1, 2, 3, 6, 1087, 2174, 3261, 6522
The HCF of 6608,6522 is 2.
Lets's calculate GCF of 6608,6522
| 2 | 6608, 6522 |
| 3304, 3261 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6608,6522 By Matching Biggest Common Factor Method
Now, list down the factors of 6608
:1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608
Now, list down the factors of 6522
:1,2,3,6,1087,2174,3261,6522
Greatest Common Factor
We found the factors 6608,6522 . The biggest common factor number is the GCF number.
So the greatest common factor 6608,6522 is 2.
Lets's calculate LCM of 261,3815
Given numbers has no common factors except 1. So, there LCM is their product i.e 995715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/995715
Therefore, the GCF of Fractions 6608/261,6522/3815 is 2/995715
Least Common Multiple of 261,3815 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 261,3815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,3815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,3815) x common factors =1 x 1 = 1
LCM(261,3815) = ( 261 × 3815 ) / 1
LCM(261,3815) = 995715 / 1
LCM(261,3815) = 995715
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FAQs on GCF of Fractions of 6608/261, 6522/3815
1. What is the HCF of 6608,6522?
The HCF of 6608,6522 is 2
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 6608/261, 6522/3815?
Answer: GCF of Numerators as per given numbers 6608/261, 6522/3815 is
GCF of Numerators i.e. for 6608,6522 is 2
LCM of denominators i.e. for 261,3815 is 995715.
Thus, GCF of Fractions is 2/995715.Finally, GCF of Fractions for 6608/261, 6522/3815 is 2/995715.