GCF of 5840/174, 1890/7923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5840/174, 1890/7923 i.e 10/459534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5840/174, 1890/7923.
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 5840/174,1890/7923?
Given fractions are 5840/174,1890/7923
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 5840/174,1890/7923, numerators are 5840,1890
Denominators are 174,7923
The GCF of 5840,1890 is 10 .
LCM of 174,7923 is 459534.
The greatest common factor of 5840/174,1890/7923 = [GCF of 5840,1890]/[LCM of 174,7923]= 10/459534
Therefore, the GCF of 5840/174,1890/7923 is 10/459534.
To find the highest common factor of 5840,1890, we have to find the factors of both numbers and list the highest common factor.
The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840
The factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890
The HCF of 5840,1890 is 10.
Lets's calculate GCF of 5840,1890
| 2 | 5840, 1890 |
| 5 | 2920, 945 |
| 584, 189 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5840,1890 By Matching Biggest Common Factor Method
Now, list down the factors of 5840
:1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840
Now, list down the factors of 1890
:1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,90,105,126,135,189,210,270,315,378,630,945,1890
Greatest Common Factor
We found the factors 5840,1890 . The biggest common factor number is the GCF number.
So the greatest common factor 5840,1890 is 10.
Lets's calculate LCM of 174,7923
| 3 | 174, 7923 |
| 58, 2641 |
∴ So the LCM of the given numbers is 3 x 58 x 2641 = 459534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/459534
Therefore, the GCF of Fractions 5840/174,1890/7923 is 10/459534
Least Common Multiple of 174,7923 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 174,7923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,7923) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(174,7923) x common factors =3 x 1 = 3
LCM(174,7923) = ( 174 × 7923 ) / 3
LCM(174,7923) = 1378602 / 3
LCM(174,7923) = 459534
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FAQs on GCF of Fractions of 5840/174, 1890/7923
1. What is the HCF of 5840,1890?
The HCF of 5840,1890 is 10
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 5840/174, 1890/7923?
Answer: GCF of Numerators as per given numbers 5840/174, 1890/7923 is
GCF of Numerators i.e. for 5840,1890 is 10
LCM of denominators i.e. for 174,7923 is 459534.
Thus, GCF of Fractions is 10/459534.Finally, GCF of Fractions for 5840/174, 1890/7923 is 10/459534.