GCF of 4864/823, 7540/8279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4864/823, 7540/8279 i.e 4/6813617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4864/823, 7540/8279.
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 4864/823,7540/8279?
Given fractions are 4864/823,7540/8279
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 4864/823,7540/8279, numerators are 4864,7540
Denominators are 823,8279
The GCF of 4864,7540 is 4 .
LCM of 823,8279 is 6813617.
The greatest common factor of 4864/823,7540/8279 = [GCF of 4864,7540]/[LCM of 823,8279]= 4/6813617
Therefore, the GCF of 4864/823,7540/8279 is 4/6813617.
To find the highest common factor of 4864,7540, we have to find the factors of both numbers and list the highest common factor.
The factors of 4864 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432, 4864
The factors of 7540 are 1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540
The HCF of 4864,7540 is 4.
Lets's calculate GCF of 4864,7540
| 2 | 4864, 7540 |
| 2 | 2432, 3770 |
| 1216, 1885 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4864,7540 By Matching Biggest Common Factor Method
Now, list down the factors of 4864
:1,2,4,8,16,19,32,38,64,76,128,152,256,304,608,1216,2432,4864
Now, list down the factors of 7540
:1,2,4,5,10,13,20,26,29,52,58,65,116,130,145,260,290,377,580,754,1508,1885,3770,7540
Greatest Common Factor
We found the factors 4864,7540 . The biggest common factor number is the GCF number.
So the greatest common factor 4864,7540 is 4.
Lets's calculate LCM of 823,8279
Given numbers has no common factors except 1. So, there LCM is their product i.e 6813617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6813617
Therefore, the GCF of Fractions 4864/823,7540/8279 is 4/6813617
Least Common Multiple of 823,8279 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 823,8279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,8279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,8279) x common factors =1 x 1 = 1
LCM(823,8279) = ( 823 × 8279 ) / 1
LCM(823,8279) = 6813617 / 1
LCM(823,8279) = 6813617
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FAQs on GCF of Fractions of 4864/823, 7540/8279
1. What is the HCF of 4864,7540?
The HCF of 4864,7540 is 4
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 4864/823, 7540/8279?
Answer: GCF of Numerators as per given numbers 4864/823, 7540/8279 is
GCF of Numerators i.e. for 4864,7540 is 4
LCM of denominators i.e. for 823,8279 is 6813617.
Thus, GCF of Fractions is 4/6813617.Finally, GCF of Fractions for 4864/823, 7540/8279 is 4/6813617.