GCF of 2328/262, 8054/1712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2328/262, 8054/1712 i.e 2/224272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2328/262, 8054/1712.
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 2328/262,8054/1712?
Given fractions are 2328/262,8054/1712
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 2328/262,8054/1712, numerators are 2328,8054
Denominators are 262,1712
The GCF of 2328,8054 is 2 .
LCM of 262,1712 is 224272.
The greatest common factor of 2328/262,8054/1712 = [GCF of 2328,8054]/[LCM of 262,1712]= 2/224272
Therefore, the GCF of 2328/262,8054/1712 is 2/224272.
To find the highest common factor of 2328,8054, we have to find the factors of both numbers and list the highest common factor.
The factors of 2328 are 1, 2, 3, 4, 6, 8, 12, 24, 97, 194, 291, 388, 582, 776, 1164, 2328
The factors of 8054 are 1, 2, 4027, 8054
The HCF of 2328,8054 is 2.
Lets's calculate GCF of 2328,8054
| 2 | 2328, 8054 |
| 1164, 4027 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2328,8054 By Matching Biggest Common Factor Method
Now, list down the factors of 2328
:1,2,3,4,6,8,12,24,97,194,291,388,582,776,1164,2328
Now, list down the factors of 8054
:1,2,4027,8054
Greatest Common Factor
We found the factors 2328,8054 . The biggest common factor number is the GCF number.
So the greatest common factor 2328,8054 is 2.
Lets's calculate LCM of 262,1712
| 2 | 262, 1712 |
| 131, 856 |
∴ So the LCM of the given numbers is 2 x 131 x 856 = 224272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/224272
Therefore, the GCF of Fractions 2328/262,8054/1712 is 2/224272
Least Common Multiple of 262,1712 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 262,1712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,1712) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,1712) x common factors =2 x 1 = 2
LCM(262,1712) = ( 262 × 1712 ) / 2
LCM(262,1712) = 448544 / 2
LCM(262,1712) = 224272
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FAQs on GCF of Fractions of 2328/262, 8054/1712
1. What is the HCF of 2328,8054?
The HCF of 2328,8054 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 2328/262, 8054/1712?
Answer: GCF of Numerators as per given numbers 2328/262, 8054/1712 is
GCF of Numerators i.e. for 2328,8054 is 2
LCM of denominators i.e. for 262,1712 is 224272.
Thus, GCF of Fractions is 2/224272.Finally, GCF of Fractions for 2328/262, 8054/1712 is 2/224272.