GCF of 1198/538, 4345/7828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1198/538, 4345/7828 i.e 1/2105732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1198/538, 4345/7828.
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 1198/538,4345/7828?
Given fractions are 1198/538,4345/7828
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 1198/538,4345/7828, numerators are 1198,4345
Denominators are 538,7828
The GCF of 1198,4345 is 1 .
LCM of 538,7828 is 2105732.
The greatest common factor of 1198/538,4345/7828 = [GCF of 1198,4345]/[LCM of 538,7828]= 1/2105732
Therefore, the GCF of 1198/538,4345/7828 is 1/2105732.
To find the highest common factor of 1198,4345, we have to find the factors of both numbers and list the highest common factor.
The factors of 1198 are 1, 2, 599, 1198
The factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345
The HCF of 1198,4345 is 1.
Lets's calculate GCF of 1198,4345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1198,4345 By Matching Biggest Common Factor Method
Now, list down the factors of 1198
:1,2,599,1198
Now, list down the factors of 4345
:1,5,11,55,79,395,869,4345
Greatest Common Factor
We found the factors 1198,4345 . The biggest common factor number is the GCF number.
So the greatest common factor 1198,4345 is 1.
Lets's calculate LCM of 538,7828
| 2 | 538, 7828 |
| 269, 3914 |
∴ So the LCM of the given numbers is 2 x 269 x 3914 = 2105732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2105732
Therefore, the GCF of Fractions 1198/538,4345/7828 is 1/2105732
Least Common Multiple of 538,7828 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 538,7828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,7828) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,7828) x common factors =2 x 1 = 2
LCM(538,7828) = ( 538 × 7828 ) / 2
LCM(538,7828) = 4211464 / 2
LCM(538,7828) = 2105732
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FAQs on GCF of Fractions of 1198/538, 4345/7828
1. What is the HCF of 1198,4345?
The HCF of 1198,4345 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 1198/538, 4345/7828?
Answer: GCF of Numerators as per given numbers 1198/538, 4345/7828 is
GCF of Numerators i.e. for 1198,4345 is 1
LCM of denominators i.e. for 538,7828 is 2105732.
Thus, GCF of Fractions is 1/2105732.Finally, GCF of Fractions for 1198/538, 4345/7828 is 1/2105732.