GCF of 2854/644, 8164/4832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2854/644, 8164/4832 i.e 2/777952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2854/644, 8164/4832.
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 2854/644,8164/4832?
Given fractions are 2854/644,8164/4832
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 2854/644,8164/4832, numerators are 2854,8164
Denominators are 644,4832
The GCF of 2854,8164 is 2 .
LCM of 644,4832 is 777952.
The greatest common factor of 2854/644,8164/4832 = [GCF of 2854,8164]/[LCM of 644,4832]= 2/777952
Therefore, the GCF of 2854/644,8164/4832 is 2/777952.
To find the highest common factor of 2854,8164, we have to find the factors of both numbers and list the highest common factor.
The factors of 2854 are 1, 2, 1427, 2854
The factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164
The HCF of 2854,8164 is 2.
Lets's calculate GCF of 2854,8164
| 2 | 2854, 8164 |
| 1427, 4082 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2854,8164 By Matching Biggest Common Factor Method
Now, list down the factors of 2854
:1,2,1427,2854
Now, list down the factors of 8164
:1,2,4,13,26,52,157,314,628,2041,4082,8164
Greatest Common Factor
We found the factors 2854,8164 . The biggest common factor number is the GCF number.
So the greatest common factor 2854,8164 is 2.
Lets's calculate LCM of 644,4832
| 2 | 644, 4832 |
| 2 | 322, 2416 |
| 161, 1208 |
∴ So the LCM of the given numbers is 2 x 2 x 161 x 1208 = 777952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/777952
Therefore, the GCF of Fractions 2854/644,8164/4832 is 2/777952
Least Common Multiple of 644,4832 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 644,4832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,4832) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(644,4832) x common factors =4 x 1 = 4
LCM(644,4832) = ( 644 × 4832 ) / 4
LCM(644,4832) = 3111808 / 4
LCM(644,4832) = 777952
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FAQs on GCF of Fractions of 2854/644, 8164/4832
1. What is the HCF of 2854,8164?
The HCF of 2854,8164 is 2
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 2854/644, 8164/4832?
Answer: GCF of Numerators as per given numbers 2854/644, 8164/4832 is
GCF of Numerators i.e. for 2854,8164 is 2
LCM of denominators i.e. for 644,4832 is 777952.
Thus, GCF of Fractions is 2/777952.Finally, GCF of Fractions for 2854/644, 8164/4832 is 2/777952.