GCF of 5516/328, 2758/6453
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5516/328, 2758/6453 i.e 2758/2116584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5516/328, 2758/6453.
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 5516/328,2758/6453?
Given fractions are 5516/328,2758/6453
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 5516/328,2758/6453, numerators are 5516,2758
Denominators are 328,6453
The GCF of 5516,2758 is 2758 .
LCM of 328,6453 is 2116584.
The greatest common factor of 5516/328,2758/6453 = [GCF of 5516,2758]/[LCM of 328,6453]= 2758/2116584
Therefore, the GCF of 5516/328,2758/6453 is 2758/2116584.
To find the highest common factor of 5516,2758, we have to find the factors of both numbers and list the highest common factor.
The factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516
The factors of 2758 are 1, 2, 7, 14, 197, 394, 1379, 2758
The HCF of 5516,2758 is 2758.
Lets's calculate GCF of 5516,2758
| 2 | 5516, 2758 |
| 7 | 2758, 1379 |
| 197 | 394, 197 |
| 2, 1 |
∴ So the GCF of the given numbers is 2 x 7 x 197 = 2758
Greatest Common Factor of 5516,2758 By Matching Biggest Common Factor Method
Now, list down the factors of 5516
:1,2,4,7,14,28,197,394,788,1379,2758,5516
Now, list down the factors of 2758
:1,2,7,14,197,394,1379,2758
Greatest Common Factor
We found the factors 5516,2758 . The biggest common factor number is the GCF number.
So the greatest common factor 5516,2758 is 2758.
Lets's calculate LCM of 328,6453
Given numbers has no common factors except 1. So, there LCM is their product i.e 2116584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2758/2116584
Therefore, the GCF of Fractions 5516/328,2758/6453 is 2758/2116584
Least Common Multiple of 328,6453 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 328,6453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,6453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,6453) x common factors =1 x 1 = 1
LCM(328,6453) = ( 328 × 6453 ) / 1
LCM(328,6453) = 2116584 / 1
LCM(328,6453) = 2116584
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FAQs on GCF of Fractions of 5516/328, 2758/6453
1. What is the HCF of 5516,2758?
The HCF of 5516,2758 is 2758
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 5516/328, 2758/6453?
Answer: GCF of Numerators as per given numbers 5516/328, 2758/6453 is
GCF of Numerators i.e. for 5516,2758 is 2758
LCM of denominators i.e. for 328,6453 is 2116584.
Thus, GCF of Fractions is 2758/2116584.Finally, GCF of Fractions for 5516/328, 2758/6453 is 2758/2116584.