GCF of 5512/163, 4160/616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5512/163, 4160/616 i.e 104/100408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5512/163, 4160/616.
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 5512/163,4160/616?
Given fractions are 5512/163,4160/616
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 5512/163,4160/616, numerators are 5512,4160
Denominators are 163,616
The GCF of 5512,4160 is 104 .
LCM of 163,616 is 100408.
The greatest common factor of 5512/163,4160/616 = [GCF of 5512,4160]/[LCM of 163,616]= 104/100408
Therefore, the GCF of 5512/163,4160/616 is 104/100408.
To find the highest common factor of 5512,4160, we have to find the factors of both numbers and list the highest common factor.
The factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512
The factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160
The HCF of 5512,4160 is 104.
Lets's calculate GCF of 5512,4160
| 2 | 5512, 4160 |
| 2 | 2756, 2080 |
| 2 | 1378, 1040 |
| 13 | 689, 520 |
| 53, 40 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104
Greatest Common Factor of 5512,4160 By Matching Biggest Common Factor Method
Now, list down the factors of 5512
:1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512
Now, list down the factors of 4160
:1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160
Greatest Common Factor
We found the factors 5512,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 5512,4160 is 104.
Lets's calculate LCM of 163,616
Given numbers has no common factors except 1. So, there LCM is their product i.e 100408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 104/100408
Therefore, the GCF of Fractions 5512/163,4160/616 is 104/100408
Least Common Multiple of 163,616 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 163,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,616) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,616) x common factors =1 x 1 = 1
LCM(163,616) = ( 163 × 616 ) / 1
LCM(163,616) = 100408 / 1
LCM(163,616) = 100408
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FAQs on GCF of Fractions of 5512/163, 4160/616
1. What is the HCF of 5512,4160?
The HCF of 5512,4160 is 104
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 5512/163, 4160/616?
Answer: GCF of Numerators as per given numbers 5512/163, 4160/616 is
GCF of Numerators i.e. for 5512,4160 is 104
LCM of denominators i.e. for 163,616 is 100408.
Thus, GCF of Fractions is 104/100408.Finally, GCF of Fractions for 5512/163, 4160/616 is 104/100408.