GCF of 2981/504, 6858/9312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2981/504, 6858/9312 i.e 1/195552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2981/504, 6858/9312.
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 2981/504,6858/9312?
Given fractions are 2981/504,6858/9312
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 2981/504,6858/9312, numerators are 2981,6858
Denominators are 504,9312
The GCF of 2981,6858 is 1 .
LCM of 504,9312 is 195552.
The greatest common factor of 2981/504,6858/9312 = [GCF of 2981,6858]/[LCM of 504,9312]= 1/195552
Therefore, the GCF of 2981/504,6858/9312 is 1/195552.
To find the highest common factor of 2981,6858, we have to find the factors of both numbers and list the highest common factor.
The factors of 2981 are 1, 11, 271, 2981
The factors of 6858 are 1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858
The HCF of 2981,6858 is 1.
Lets's calculate GCF of 2981,6858
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2981,6858 By Matching Biggest Common Factor Method
Now, list down the factors of 2981
:1,11,271,2981
Now, list down the factors of 6858
:1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858
Greatest Common Factor
We found the factors 2981,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 2981,6858 is 1.
Lets's calculate LCM of 504,9312
| 2 | 504, 9312 |
| 2 | 252, 4656 |
| 2 | 126, 2328 |
| 3 | 63, 1164 |
| 21, 388 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 21 x 388 = 195552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195552
Therefore, the GCF of Fractions 2981/504,6858/9312 is 1/195552
Least Common Multiple of 504,9312 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 504,9312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,9312) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(504,9312) x common factors =24 x 1 = 24
LCM(504,9312) = ( 504 × 9312 ) / 24
LCM(504,9312) = 4693248 / 24
LCM(504,9312) = 195552
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FAQs on GCF of Fractions of 2981/504, 6858/9312
1. What is the HCF of 2981,6858?
The HCF of 2981,6858 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 2981/504, 6858/9312?
Answer: GCF of Numerators as per given numbers 2981/504, 6858/9312 is
GCF of Numerators i.e. for 2981,6858 is 1
LCM of denominators i.e. for 504,9312 is 195552.
Thus, GCF of Fractions is 1/195552.Finally, GCF of Fractions for 2981/504, 6858/9312 is 1/195552.