GCF of 2374/274, 8118/5962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2374/274, 8118/5962 i.e 2/816794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2374/274, 8118/5962.
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 2374/274,8118/5962?
Given fractions are 2374/274,8118/5962
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 2374/274,8118/5962, numerators are 2374,8118
Denominators are 274,5962
The GCF of 2374,8118 is 2 .
LCM of 274,5962 is 816794.
The greatest common factor of 2374/274,8118/5962 = [GCF of 2374,8118]/[LCM of 274,5962]= 2/816794
Therefore, the GCF of 2374/274,8118/5962 is 2/816794.
To find the highest common factor of 2374,8118, we have to find the factors of both numbers and list the highest common factor.
The factors of 2374 are 1, 2, 1187, 2374
The factors of 8118 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059, 8118
The HCF of 2374,8118 is 2.
Lets's calculate GCF of 2374,8118
| 2 | 2374, 8118 |
| 1187, 4059 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2374,8118 By Matching Biggest Common Factor Method
Now, list down the factors of 2374
:1,2,1187,2374
Now, list down the factors of 8118
:1,2,3,6,9,11,18,22,33,41,66,82,99,123,198,246,369,451,738,902,1353,2706,4059,8118
Greatest Common Factor
We found the factors 2374,8118 . The biggest common factor number is the GCF number.
So the greatest common factor 2374,8118 is 2.
Lets's calculate LCM of 274,5962
| 2 | 274, 5962 |
| 137, 2981 |
∴ So the LCM of the given numbers is 2 x 137 x 2981 = 816794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/816794
Therefore, the GCF of Fractions 2374/274,8118/5962 is 2/816794
Least Common Multiple of 274,5962 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 274,5962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,5962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,5962) x common factors =2 x 1 = 2
LCM(274,5962) = ( 274 × 5962 ) / 2
LCM(274,5962) = 1633588 / 2
LCM(274,5962) = 816794
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FAQs on GCF of Fractions of 2374/274, 8118/5962
1. What is the HCF of 2374,8118?
The HCF of 2374,8118 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 2374/274, 8118/5962?
Answer: GCF of Numerators as per given numbers 2374/274, 8118/5962 is
GCF of Numerators i.e. for 2374,8118 is 2
LCM of denominators i.e. for 274,5962 is 816794.
Thus, GCF of Fractions is 2/816794.Finally, GCF of Fractions for 2374/274, 8118/5962 is 2/816794.