GCF of 1834/187, 2492/3532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1834/187, 2492/3532 i.e 14/660484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1834/187, 2492/3532.
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 1834/187,2492/3532?
Given fractions are 1834/187,2492/3532
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 1834/187,2492/3532, numerators are 1834,2492
Denominators are 187,3532
The GCF of 1834,2492 is 14 .
LCM of 187,3532 is 660484.
The greatest common factor of 1834/187,2492/3532 = [GCF of 1834,2492]/[LCM of 187,3532]= 14/660484
Therefore, the GCF of 1834/187,2492/3532 is 14/660484.
To find the highest common factor of 1834,2492, we have to find the factors of both numbers and list the highest common factor.
The factors of 1834 are 1, 2, 7, 14, 131, 262, 917, 1834
The factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492
The HCF of 1834,2492 is 14.
Lets's calculate GCF of 1834,2492
| 2 | 1834, 2492 |
| 7 | 917, 1246 |
| 131, 178 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1834,2492 By Matching Biggest Common Factor Method
Now, list down the factors of 1834
:1,2,7,14,131,262,917,1834
Now, list down the factors of 2492
:1,2,4,7,14,28,89,178,356,623,1246,2492
Greatest Common Factor
We found the factors 1834,2492 . The biggest common factor number is the GCF number.
So the greatest common factor 1834,2492 is 14.
Lets's calculate LCM of 187,3532
Given numbers has no common factors except 1. So, there LCM is their product i.e 660484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/660484
Therefore, the GCF of Fractions 1834/187,2492/3532 is 14/660484
Least Common Multiple of 187,3532 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 187,3532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,3532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,3532) x common factors =1 x 1 = 1
LCM(187,3532) = ( 187 × 3532 ) / 1
LCM(187,3532) = 660484 / 1
LCM(187,3532) = 660484
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FAQs on GCF of Fractions of 1834/187, 2492/3532
1. What is the HCF of 1834,2492?
The HCF of 1834,2492 is 14
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 1834/187, 2492/3532?
Answer: GCF of Numerators as per given numbers 1834/187, 2492/3532 is
GCF of Numerators i.e. for 1834,2492 is 14
LCM of denominators i.e. for 187,3532 is 660484.
Thus, GCF of Fractions is 14/660484.Finally, GCF of Fractions for 1834/187, 2492/3532 is 14/660484.