GCF of 5216/817, 5104/140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5216/817, 5104/140 i.e 16/114380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5216/817, 5104/140.
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 5216/817,5104/140?
Given fractions are 5216/817,5104/140
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 5216/817,5104/140, numerators are 5216,5104
Denominators are 817,140
The GCF of 5216,5104 is 16 .
LCM of 817,140 is 114380.
The greatest common factor of 5216/817,5104/140 = [GCF of 5216,5104]/[LCM of 817,140]= 16/114380
Therefore, the GCF of 5216/817,5104/140 is 16/114380.
To find the highest common factor of 5216,5104, we have to find the factors of both numbers and list the highest common factor.
The factors of 5216 are 1, 2, 4, 8, 16, 32, 163, 326, 652, 1304, 2608, 5216
The factors of 5104 are 1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104
The HCF of 5216,5104 is 16.
Lets's calculate GCF of 5216,5104
| 2 | 5216, 5104 |
| 2 | 2608, 2552 |
| 2 | 1304, 1276 |
| 2 | 652, 638 |
| 326, 319 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5216,5104 By Matching Biggest Common Factor Method
Now, list down the factors of 5216
:1,2,4,8,16,32,163,326,652,1304,2608,5216
Now, list down the factors of 5104
:1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104
Greatest Common Factor
We found the factors 5216,5104 . The biggest common factor number is the GCF number.
So the greatest common factor 5216,5104 is 16.
Lets's calculate LCM of 817,140
Given numbers has no common factors except 1. So, there LCM is their product i.e 114380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/114380
Therefore, the GCF of Fractions 5216/817,5104/140 is 16/114380
Least Common Multiple of 817,140 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 817,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,140) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,140) x common factors =1 x 1 = 1
LCM(817,140) = ( 817 × 140 ) / 1
LCM(817,140) = 114380 / 1
LCM(817,140) = 114380
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FAQs on GCF of Fractions of 5216/817, 5104/140
1. What is the HCF of 5216,5104?
The HCF of 5216,5104 is 16
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 5216/817, 5104/140?
Answer: GCF of Numerators as per given numbers 5216/817, 5104/140 is
GCF of Numerators i.e. for 5216,5104 is 16
LCM of denominators i.e. for 817,140 is 114380.
Thus, GCF of Fractions is 16/114380.Finally, GCF of Fractions for 5216/817, 5104/140 is 16/114380.