GCF of 1844/414, 8498/6735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1844/414, 8498/6735 i.e 2/929430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1844/414, 8498/6735.
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 1844/414,8498/6735?
Given fractions are 1844/414,8498/6735
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 1844/414,8498/6735, numerators are 1844,8498
Denominators are 414,6735
The GCF of 1844,8498 is 2 .
LCM of 414,6735 is 929430.
The greatest common factor of 1844/414,8498/6735 = [GCF of 1844,8498]/[LCM of 414,6735]= 2/929430
Therefore, the GCF of 1844/414,8498/6735 is 2/929430.
To find the highest common factor of 1844,8498, we have to find the factors of both numbers and list the highest common factor.
The factors of 1844 are 1, 2, 4, 461, 922, 1844
The factors of 8498 are 1, 2, 7, 14, 607, 1214, 4249, 8498
The HCF of 1844,8498 is 2.
Lets's calculate GCF of 1844,8498
| 2 | 1844, 8498 |
| 922, 4249 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1844,8498 By Matching Biggest Common Factor Method
Now, list down the factors of 1844
:1,2,4,461,922,1844
Now, list down the factors of 8498
:1,2,7,14,607,1214,4249,8498
Greatest Common Factor
We found the factors 1844,8498 . The biggest common factor number is the GCF number.
So the greatest common factor 1844,8498 is 2.
Lets's calculate LCM of 414,6735
| 3 | 414, 6735 |
| 138, 2245 |
∴ So the LCM of the given numbers is 3 x 138 x 2245 = 929430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/929430
Therefore, the GCF of Fractions 1844/414,8498/6735 is 2/929430
Least Common Multiple of 414,6735 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 414,6735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,6735) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(414,6735) x common factors =3 x 1 = 3
LCM(414,6735) = ( 414 × 6735 ) / 3
LCM(414,6735) = 2788290 / 3
LCM(414,6735) = 929430
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FAQs on GCF of Fractions of 1844/414, 8498/6735
1. What is the HCF of 1844,8498?
The HCF of 1844,8498 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 1844/414, 8498/6735?
Answer: GCF of Numerators as per given numbers 1844/414, 8498/6735 is
GCF of Numerators i.e. for 1844,8498 is 2
LCM of denominators i.e. for 414,6735 is 929430.
Thus, GCF of Fractions is 2/929430.Finally, GCF of Fractions for 1844/414, 8498/6735 is 2/929430.