GCF of 844/192, 420/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 844/192, 420/735 i.e 4/47040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/192, 420/735.
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 844/192,420/735?
Given fractions are 844/192,420/735
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 844/192,420/735, numerators are 844,420
Denominators are 192,735
The GCF of 844,420 is 4 .
LCM of 192,735 is 47040.
The greatest common factor of 844/192,420/735 = [GCF of 844,420]/[LCM of 192,735]= 4/47040
Therefore, the GCF of 844/192,420/735 is 4/47040.
To find the highest common factor of 844,420, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 844,420 is 4.
Lets's calculate GCF of 844,420
| 2 | 844, 420 |
| 2 | 422, 210 |
| 211, 105 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 844,420 By Matching Biggest Common Factor Method
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 844,420 . The biggest common factor number is the GCF number.
So the greatest common factor 844,420 is 4.
Lets's calculate LCM of 192,735
| 3 | 192, 735 |
| 64, 245 |
∴ So the LCM of the given numbers is 3 x 64 x 245 = 47040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/47040
Therefore, the GCF of Fractions 844/192,420/735 is 4/47040
Least Common Multiple of 192,735 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 192,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,735) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(192,735) x common factors =3 x 1 = 3
LCM(192,735) = ( 192 × 735 ) / 3
LCM(192,735) = 141120 / 3
LCM(192,735) = 47040
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FAQs on GCF of Fractions of 844/192, 420/735
1. What is the HCF of 844,420?
The HCF of 844,420 is 4
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 844/192, 420/735?
Answer: GCF of Numerators as per given numbers 844/192, 420/735 is
GCF of Numerators i.e. for 844,420 is 4
LCM of denominators i.e. for 192,735 is 47040.
Thus, GCF of Fractions is 4/47040.Finally, GCF of Fractions for 844/192, 420/735 is 4/47040.