GCF of 1810/156, 9992/7438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1810/156, 9992/7438 i.e 2/580164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1810/156, 9992/7438.
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 1810/156,9992/7438?
Given fractions are 1810/156,9992/7438
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 1810/156,9992/7438, numerators are 1810,9992
Denominators are 156,7438
The GCF of 1810,9992 is 2 .
LCM of 156,7438 is 580164.
The greatest common factor of 1810/156,9992/7438 = [GCF of 1810,9992]/[LCM of 156,7438]= 2/580164
Therefore, the GCF of 1810/156,9992/7438 is 2/580164.
To find the highest common factor of 1810,9992, we have to find the factors of both numbers and list the highest common factor.
The factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810
The factors of 9992 are 1, 2, 4, 8, 1249, 2498, 4996, 9992
The HCF of 1810,9992 is 2.
Lets's calculate GCF of 1810,9992
| 2 | 1810, 9992 |
| 905, 4996 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1810,9992 By Matching Biggest Common Factor Method
Now, list down the factors of 1810
:1,2,5,10,181,362,905,1810
Now, list down the factors of 9992
:1,2,4,8,1249,2498,4996,9992
Greatest Common Factor
We found the factors 1810,9992 . The biggest common factor number is the GCF number.
So the greatest common factor 1810,9992 is 2.
Lets's calculate LCM of 156,7438
| 2 | 156, 7438 |
| 78, 3719 |
∴ So the LCM of the given numbers is 2 x 78 x 3719 = 580164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/580164
Therefore, the GCF of Fractions 1810/156,9992/7438 is 2/580164
Least Common Multiple of 156,7438 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 156,7438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,7438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(156,7438) x common factors =2 x 1 = 2
LCM(156,7438) = ( 156 × 7438 ) / 2
LCM(156,7438) = 1160328 / 2
LCM(156,7438) = 580164
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FAQs on GCF of Fractions of 1810/156, 9992/7438
1. What is the HCF of 1810,9992?
The HCF of 1810,9992 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 1810/156, 9992/7438?
Answer: GCF of Numerators as per given numbers 1810/156, 9992/7438 is
GCF of Numerators i.e. for 1810,9992 is 2
LCM of denominators i.e. for 156,7438 is 580164.
Thus, GCF of Fractions is 2/580164.Finally, GCF of Fractions for 1810/156, 9992/7438 is 2/580164.