GCF of 842/120, 4386/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 842/120, 4386/574 i.e 2/34440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 842/120, 4386/574.
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 842/120,4386/574?
Given fractions are 842/120,4386/574
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 842/120,4386/574, numerators are 842,4386
Denominators are 120,574
The GCF of 842,4386 is 2 .
LCM of 120,574 is 34440.
The greatest common factor of 842/120,4386/574 = [GCF of 842,4386]/[LCM of 120,574]= 2/34440
Therefore, the GCF of 842/120,4386/574 is 2/34440.
To find the highest common factor of 842,4386, we have to find the factors of both numbers and list the highest common factor.
The factors of 842 are 1, 2, 421, 842
The factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386
The HCF of 842,4386 is 2.
Lets's calculate GCF of 842,4386
| 2 | 842, 4386 |
| 421, 2193 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 842,4386 By Matching Biggest Common Factor Method
Now, list down the factors of 842
:1,2,421,842
Now, list down the factors of 4386
:1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386
Greatest Common Factor
We found the factors 842,4386 . The biggest common factor number is the GCF number.
So the greatest common factor 842,4386 is 2.
Lets's calculate LCM of 120,574
| 2 | 120, 574 |
| 60, 287 |
∴ So the LCM of the given numbers is 2 x 60 x 287 = 34440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34440
Therefore, the GCF of Fractions 842/120,4386/574 is 2/34440
Least Common Multiple of 120,574 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 120,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(120,574) x common factors =2 x 1 = 2
LCM(120,574) = ( 120 × 574 ) / 2
LCM(120,574) = 68880 / 2
LCM(120,574) = 34440
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FAQs on GCF of Fractions of 842/120, 4386/574
1. What is the HCF of 842,4386?
The HCF of 842,4386 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 842/120, 4386/574?
Answer: GCF of Numerators as per given numbers 842/120, 4386/574 is
GCF of Numerators i.e. for 842,4386 is 2
LCM of denominators i.e. for 120,574 is 34440.
Thus, GCF of Fractions is 2/34440.Finally, GCF of Fractions for 842/120, 4386/574 is 2/34440.