GCF of 4118/268, 1712/6894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4118/268, 1712/6894 i.e 2/923796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4118/268, 1712/6894.
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 4118/268,1712/6894?
Given fractions are 4118/268,1712/6894
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 4118/268,1712/6894, numerators are 4118,1712
Denominators are 268,6894
The GCF of 4118,1712 is 2 .
LCM of 268,6894 is 923796.
The greatest common factor of 4118/268,1712/6894 = [GCF of 4118,1712]/[LCM of 268,6894]= 2/923796
Therefore, the GCF of 4118/268,1712/6894 is 2/923796.
To find the highest common factor of 4118,1712, we have to find the factors of both numbers and list the highest common factor.
The factors of 4118 are 1, 2, 29, 58, 71, 142, 2059, 4118
The factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712
The HCF of 4118,1712 is 2.
Lets's calculate GCF of 4118,1712
| 2 | 4118, 1712 |
| 2059, 856 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4118,1712 By Matching Biggest Common Factor Method
Now, list down the factors of 4118
:1,2,29,58,71,142,2059,4118
Now, list down the factors of 1712
:1,2,4,8,16,107,214,428,856,1712
Greatest Common Factor
We found the factors 4118,1712 . The biggest common factor number is the GCF number.
So the greatest common factor 4118,1712 is 2.
Lets's calculate LCM of 268,6894
| 2 | 268, 6894 |
| 134, 3447 |
∴ So the LCM of the given numbers is 2 x 134 x 3447 = 923796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/923796
Therefore, the GCF of Fractions 4118/268,1712/6894 is 2/923796
Least Common Multiple of 268,6894 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 268,6894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,6894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,6894) x common factors =2 x 1 = 2
LCM(268,6894) = ( 268 × 6894 ) / 2
LCM(268,6894) = 1847592 / 2
LCM(268,6894) = 923796
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FAQs on GCF of Fractions of 4118/268, 1712/6894
1. What is the HCF of 4118,1712?
The HCF of 4118,1712 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 4118/268, 1712/6894?
Answer: GCF of Numerators as per given numbers 4118/268, 1712/6894 is
GCF of Numerators i.e. for 4118,1712 is 2
LCM of denominators i.e. for 268,6894 is 923796.
Thus, GCF of Fractions is 2/923796.Finally, GCF of Fractions for 4118/268, 1712/6894 is 2/923796.