GCF of 2968/638, 8324/323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2968/638, 8324/323 i.e 4/206074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2968/638, 8324/323.
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 2968/638,8324/323?
Given fractions are 2968/638,8324/323
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 2968/638,8324/323, numerators are 2968,8324
Denominators are 638,323
The GCF of 2968,8324 is 4 .
LCM of 638,323 is 206074.
The greatest common factor of 2968/638,8324/323 = [GCF of 2968,8324]/[LCM of 638,323]= 4/206074
Therefore, the GCF of 2968/638,8324/323 is 4/206074.
To find the highest common factor of 2968,8324, we have to find the factors of both numbers and list the highest common factor.
The factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968
The factors of 8324 are 1, 2, 4, 2081, 4162, 8324
The HCF of 2968,8324 is 4.
Lets's calculate GCF of 2968,8324
| 2 | 2968, 8324 |
| 2 | 1484, 4162 |
| 742, 2081 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2968,8324 By Matching Biggest Common Factor Method
Now, list down the factors of 2968
:1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968
Now, list down the factors of 8324
:1,2,4,2081,4162,8324
Greatest Common Factor
We found the factors 2968,8324 . The biggest common factor number is the GCF number.
So the greatest common factor 2968,8324 is 4.
Lets's calculate LCM of 638,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 206074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/206074
Therefore, the GCF of Fractions 2968/638,8324/323 is 4/206074
Least Common Multiple of 638,323 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 638,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,323) x common factors =1 x 1 = 1
LCM(638,323) = ( 638 × 323 ) / 1
LCM(638,323) = 206074 / 1
LCM(638,323) = 206074
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FAQs on GCF of Fractions of 2968/638, 8324/323
1. What is the HCF of 2968,8324?
The HCF of 2968,8324 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 2968/638, 8324/323?
Answer: GCF of Numerators as per given numbers 2968/638, 8324/323 is
GCF of Numerators i.e. for 2968,8324 is 4
LCM of denominators i.e. for 638,323 is 206074.
Thus, GCF of Fractions is 4/206074.Finally, GCF of Fractions for 2968/638, 8324/323 is 4/206074.