GCF of 4699/414, 2118/1358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4699/414, 2118/1358 i.e 1/281106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4699/414, 2118/1358.
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 4699/414,2118/1358?
Given fractions are 4699/414,2118/1358
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 4699/414,2118/1358, numerators are 4699,2118
Denominators are 414,1358
The GCF of 4699,2118 is 1 .
LCM of 414,1358 is 281106.
The greatest common factor of 4699/414,2118/1358 = [GCF of 4699,2118]/[LCM of 414,1358]= 1/281106
Therefore, the GCF of 4699/414,2118/1358 is 1/281106.
To find the highest common factor of 4699,2118, we have to find the factors of both numbers and list the highest common factor.
The factors of 4699 are 1, 37, 127, 4699
The factors of 2118 are 1, 2, 3, 6, 353, 706, 1059, 2118
The HCF of 4699,2118 is 1.
Lets's calculate GCF of 4699,2118
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4699,2118 By Matching Biggest Common Factor Method
Now, list down the factors of 4699
:1,37,127,4699
Now, list down the factors of 2118
:1,2,3,6,353,706,1059,2118
Greatest Common Factor
We found the factors 4699,2118 . The biggest common factor number is the GCF number.
So the greatest common factor 4699,2118 is 1.
Lets's calculate LCM of 414,1358
| 2 | 414, 1358 |
| 207, 679 |
∴ So the LCM of the given numbers is 2 x 207 x 679 = 281106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281106
Therefore, the GCF of Fractions 4699/414,2118/1358 is 1/281106
Least Common Multiple of 414,1358 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 414,1358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,1358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,1358) x common factors =2 x 1 = 2
LCM(414,1358) = ( 414 × 1358 ) / 2
LCM(414,1358) = 562212 / 2
LCM(414,1358) = 281106
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FAQs on GCF of Fractions of 4699/414, 2118/1358
1. What is the HCF of 4699,2118?
The HCF of 4699,2118 is 1
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 4699/414, 2118/1358?
Answer: GCF of Numerators as per given numbers 4699/414, 2118/1358 is
GCF of Numerators i.e. for 4699,2118 is 1
LCM of denominators i.e. for 414,1358 is 281106.
Thus, GCF of Fractions is 1/281106.Finally, GCF of Fractions for 4699/414, 2118/1358 is 1/281106.