GCF of 1939/24, 4420/446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1939/24, 4420/446 i.e 1/5352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1939/24, 4420/446.
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 1939/24,4420/446?
Given fractions are 1939/24,4420/446
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 1939/24,4420/446, numerators are 1939,4420
Denominators are 24,446
The GCF of 1939,4420 is 1 .
LCM of 24,446 is 5352.
The greatest common factor of 1939/24,4420/446 = [GCF of 1939,4420]/[LCM of 24,446]= 1/5352
Therefore, the GCF of 1939/24,4420/446 is 1/5352.
To find the highest common factor of 1939,4420, we have to find the factors of both numbers and list the highest common factor.
The factors of 1939 are 1, 7, 277, 1939
The factors of 4420 are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420
The HCF of 1939,4420 is 1.
Lets's calculate GCF of 1939,4420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1939,4420 By Matching Biggest Common Factor Method
Now, list down the factors of 1939
:1,7,277,1939
Now, list down the factors of 4420
:1,2,4,5,10,13,17,20,26,34,52,65,68,85,130,170,221,260,340,442,884,1105,2210,4420
Greatest Common Factor
We found the factors 1939,4420 . The biggest common factor number is the GCF number.
So the greatest common factor 1939,4420 is 1.
Lets's calculate LCM of 24,446
| 2 | 24, 446 |
| 12, 223 |
∴ So the LCM of the given numbers is 2 x 12 x 223 = 5352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5352
Therefore, the GCF of Fractions 1939/24,4420/446 is 1/5352
Least Common Multiple of 24,446 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 24,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,446) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(24,446) x common factors =2 x 1 = 2
LCM(24,446) = ( 24 × 446 ) / 2
LCM(24,446) = 10704 / 2
LCM(24,446) = 5352
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FAQs on GCF of Fractions of 1939/24, 4420/446
1. What is the HCF of 1939,4420?
The HCF of 1939,4420 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 1939/24, 4420/446?
Answer: GCF of Numerators as per given numbers 1939/24, 4420/446 is
GCF of Numerators i.e. for 1939,4420 is 1
LCM of denominators i.e. for 24,446 is 5352.
Thus, GCF of Fractions is 1/5352.Finally, GCF of Fractions for 1939/24, 4420/446 is 1/5352.