GCF of 4230/838, 9748/4142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4230/838, 9748/4142 i.e 2/1735498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4230/838, 9748/4142.
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 4230/838,9748/4142?
Given fractions are 4230/838,9748/4142
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 4230/838,9748/4142, numerators are 4230,9748
Denominators are 838,4142
The GCF of 4230,9748 is 2 .
LCM of 838,4142 is 1735498.
The greatest common factor of 4230/838,9748/4142 = [GCF of 4230,9748]/[LCM of 838,4142]= 2/1735498
Therefore, the GCF of 4230/838,9748/4142 is 2/1735498.
To find the highest common factor of 4230,9748, we have to find the factors of both numbers and list the highest common factor.
The factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230
The factors of 9748 are 1, 2, 4, 2437, 4874, 9748
The HCF of 4230,9748 is 2.
Lets's calculate GCF of 4230,9748
| 2 | 4230, 9748 |
| 2115, 4874 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4230,9748 By Matching Biggest Common Factor Method
Now, list down the factors of 4230
:1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230
Now, list down the factors of 9748
:1,2,4,2437,4874,9748
Greatest Common Factor
We found the factors 4230,9748 . The biggest common factor number is the GCF number.
So the greatest common factor 4230,9748 is 2.
Lets's calculate LCM of 838,4142
| 2 | 838, 4142 |
| 419, 2071 |
∴ So the LCM of the given numbers is 2 x 419 x 2071 = 1735498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1735498
Therefore, the GCF of Fractions 4230/838,9748/4142 is 2/1735498
Least Common Multiple of 838,4142 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 838,4142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,4142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,4142) x common factors =2 x 1 = 2
LCM(838,4142) = ( 838 × 4142 ) / 2
LCM(838,4142) = 3470996 / 2
LCM(838,4142) = 1735498
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FAQs on GCF of Fractions of 4230/838, 9748/4142
1. What is the HCF of 4230,9748?
The HCF of 4230,9748 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 4230/838, 9748/4142?
Answer: GCF of Numerators as per given numbers 4230/838, 9748/4142 is
GCF of Numerators i.e. for 4230,9748 is 2
LCM of denominators i.e. for 838,4142 is 1735498.
Thus, GCF of Fractions is 2/1735498.Finally, GCF of Fractions for 4230/838, 9748/4142 is 2/1735498.