GCF of 8320/468, 8147/780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8320/468, 8147/780 i.e 1/2340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8320/468, 8147/780.
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 8320/468,8147/780?
Given fractions are 8320/468,8147/780
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 8320/468,8147/780, numerators are 8320,8147
Denominators are 468,780
The GCF of 8320,8147 is 1 .
LCM of 468,780 is 2340.
The greatest common factor of 8320/468,8147/780 = [GCF of 8320,8147]/[LCM of 468,780]= 1/2340
Therefore, the GCF of 8320/468,8147/780 is 1/2340.
To find the highest common factor of 8320,8147, we have to find the factors of both numbers and list the highest common factor.
The factors of 8320 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320
The factors of 8147 are 1, 8147
The HCF of 8320,8147 is 1.
Lets's calculate GCF of 8320,8147
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8320,8147 By Matching Biggest Common Factor Method
Now, list down the factors of 8320
:1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320
Now, list down the factors of 8147
:1,8147
Greatest Common Factor
We found the factors 8320,8147 . The biggest common factor number is the GCF number.
So the greatest common factor 8320,8147 is 1.
Lets's calculate LCM of 468,780
| 2 | 468, 780 |
| 2 | 234, 390 |
| 3 | 117, 195 |
| 13 | 39, 65 |
| 3, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 3 x 5 = 2340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2340
Therefore, the GCF of Fractions 8320/468,8147/780 is 1/2340
Least Common Multiple of 468,780 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 468,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,780) = 156
common factors(in case of two or more numbers have common factors) = 1
GCF(468,780) x common factors =156 x 1 = 156
LCM(468,780) = ( 468 × 780 ) / 156
LCM(468,780) = 365040 / 156
LCM(468,780) = 2340
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FAQs on GCF of Fractions of 8320/468, 8147/780
1. What is the HCF of 8320,8147?
The HCF of 8320,8147 is 1
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 8320/468, 8147/780?
Answer: GCF of Numerators as per given numbers 8320/468, 8147/780 is
GCF of Numerators i.e. for 8320,8147 is 1
LCM of denominators i.e. for 468,780 is 2340.
Thus, GCF of Fractions is 1/2340.Finally, GCF of Fractions for 8320/468, 8147/780 is 1/2340.