GCF of 5502/585, 6530/8144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5502/585, 6530/8144 i.e 2/4764240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5502/585, 6530/8144.
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 5502/585,6530/8144?
Given fractions are 5502/585,6530/8144
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 5502/585,6530/8144, numerators are 5502,6530
Denominators are 585,8144
The GCF of 5502,6530 is 2 .
LCM of 585,8144 is 4764240.
The greatest common factor of 5502/585,6530/8144 = [GCF of 5502,6530]/[LCM of 585,8144]= 2/4764240
Therefore, the GCF of 5502/585,6530/8144 is 2/4764240.
To find the highest common factor of 5502,6530, we have to find the factors of both numbers and list the highest common factor.
The factors of 5502 are 1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502
The factors of 6530 are 1, 2, 5, 10, 653, 1306, 3265, 6530
The HCF of 5502,6530 is 2.
Lets's calculate GCF of 5502,6530
| 2 | 5502, 6530 |
| 2751, 3265 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5502,6530 By Matching Biggest Common Factor Method
Now, list down the factors of 5502
:1,2,3,6,7,14,21,42,131,262,393,786,917,1834,2751,5502
Now, list down the factors of 6530
:1,2,5,10,653,1306,3265,6530
Greatest Common Factor
We found the factors 5502,6530 . The biggest common factor number is the GCF number.
So the greatest common factor 5502,6530 is 2.
Lets's calculate LCM of 585,8144
Given numbers has no common factors except 1. So, there LCM is their product i.e 4764240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4764240
Therefore, the GCF of Fractions 5502/585,6530/8144 is 2/4764240
Least Common Multiple of 585,8144 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 585,8144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,8144) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,8144) x common factors =1 x 1 = 1
LCM(585,8144) = ( 585 × 8144 ) / 1
LCM(585,8144) = 4764240 / 1
LCM(585,8144) = 4764240
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FAQs on GCF of Fractions of 5502/585, 6530/8144
1. What is the HCF of 5502,6530?
The HCF of 5502,6530 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 5502/585, 6530/8144?
Answer: GCF of Numerators as per given numbers 5502/585, 6530/8144 is
GCF of Numerators i.e. for 5502,6530 is 2
LCM of denominators i.e. for 585,8144 is 4764240.
Thus, GCF of Fractions is 2/4764240.Finally, GCF of Fractions for 5502/585, 6530/8144 is 2/4764240.