GCF of 2485/873, 1932/981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2485/873, 1932/981 i.e 7/95157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2485/873, 1932/981.
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 2485/873,1932/981?
Given fractions are 2485/873,1932/981
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 2485/873,1932/981, numerators are 2485,1932
Denominators are 873,981
The GCF of 2485,1932 is 7 .
LCM of 873,981 is 95157.
The greatest common factor of 2485/873,1932/981 = [GCF of 2485,1932]/[LCM of 873,981]= 7/95157
Therefore, the GCF of 2485/873,1932/981 is 7/95157.
To find the highest common factor of 2485,1932, we have to find the factors of both numbers and list the highest common factor.
The factors of 2485 are 1, 5, 7, 35, 71, 355, 497, 2485
The factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932
The HCF of 2485,1932 is 7.
Lets's calculate GCF of 2485,1932
| 7 | 2485, 1932 |
| 355, 276 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2485,1932 By Matching Biggest Common Factor Method
Now, list down the factors of 2485
:1,5,7,35,71,355,497,2485
Now, list down the factors of 1932
:1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Greatest Common Factor
We found the factors 2485,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 2485,1932 is 7.
Lets's calculate LCM of 873,981
| 3 | 873, 981 |
| 3 | 291, 327 |
| 97, 109 |
∴ So the LCM of the given numbers is 3 x 3 x 97 x 109 = 95157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/95157
Therefore, the GCF of Fractions 2485/873,1932/981 is 7/95157
Least Common Multiple of 873,981 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 873,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,981) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(873,981) x common factors =9 x 1 = 9
LCM(873,981) = ( 873 × 981 ) / 9
LCM(873,981) = 856413 / 9
LCM(873,981) = 95157
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FAQs on GCF of Fractions of 2485/873, 1932/981
1. What is the HCF of 2485,1932?
The HCF of 2485,1932 is 7
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 2485/873, 1932/981?
Answer: GCF of Numerators as per given numbers 2485/873, 1932/981 is
GCF of Numerators i.e. for 2485,1932 is 7
LCM of denominators i.e. for 873,981 is 95157.
Thus, GCF of Fractions is 7/95157.Finally, GCF of Fractions for 2485/873, 1932/981 is 7/95157.