GCF of 8208/851, 5152/9291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8208/851, 5152/9291 i.e 16/7906641 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8208/851, 5152/9291.
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 8208/851,5152/9291?
Given fractions are 8208/851,5152/9291
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 8208/851,5152/9291, numerators are 8208,5152
Denominators are 851,9291
The GCF of 8208,5152 is 16 .
LCM of 851,9291 is 7906641.
The greatest common factor of 8208/851,5152/9291 = [GCF of 8208,5152]/[LCM of 851,9291]= 16/7906641
Therefore, the GCF of 8208/851,5152/9291 is 16/7906641.
To find the highest common factor of 8208,5152, we have to find the factors of both numbers and list the highest common factor.
The factors of 8208 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208
The factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152
The HCF of 8208,5152 is 16.
Lets's calculate GCF of 8208,5152
| 2 | 8208, 5152 |
| 2 | 4104, 2576 |
| 2 | 2052, 1288 |
| 2 | 1026, 644 |
| 513, 322 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 8208,5152 By Matching Biggest Common Factor Method
Now, list down the factors of 8208
:1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208
Now, list down the factors of 5152
:1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152
Greatest Common Factor
We found the factors 8208,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 8208,5152 is 16.
Lets's calculate LCM of 851,9291
Given numbers has no common factors except 1. So, there LCM is their product i.e 7906641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/7906641
Therefore, the GCF of Fractions 8208/851,5152/9291 is 16/7906641
Least Common Multiple of 851,9291 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 851,9291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,9291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,9291) x common factors =1 x 1 = 1
LCM(851,9291) = ( 851 × 9291 ) / 1
LCM(851,9291) = 7906641 / 1
LCM(851,9291) = 7906641
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8208/851, 5152/9291
1. What is the HCF of 8208,5152?
The HCF of 8208,5152 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 8208/851, 5152/9291?
Answer: GCF of Numerators as per given numbers 8208/851, 5152/9291 is
GCF of Numerators i.e. for 8208,5152 is 16
LCM of denominators i.e. for 851,9291 is 7906641.
Thus, GCF of Fractions is 16/7906641.Finally, GCF of Fractions for 8208/851, 5152/9291 is 16/7906641.