GCF of 4924/297, 2782/9873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4924/297, 2782/9873 i.e 2/325809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4924/297, 2782/9873.
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 4924/297,2782/9873?
Given fractions are 4924/297,2782/9873
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 4924/297,2782/9873, numerators are 4924,2782
Denominators are 297,9873
The GCF of 4924,2782 is 2 .
LCM of 297,9873 is 325809.
The greatest common factor of 4924/297,2782/9873 = [GCF of 4924,2782]/[LCM of 297,9873]= 2/325809
Therefore, the GCF of 4924/297,2782/9873 is 2/325809.
To find the highest common factor of 4924,2782, we have to find the factors of both numbers and list the highest common factor.
The factors of 4924 are 1, 2, 4, 1231, 2462, 4924
The factors of 2782 are 1, 2, 13, 26, 107, 214, 1391, 2782
The HCF of 4924,2782 is 2.
Lets's calculate GCF of 4924,2782
| 2 | 4924, 2782 |
| 2462, 1391 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4924,2782 By Matching Biggest Common Factor Method
Now, list down the factors of 4924
:1,2,4,1231,2462,4924
Now, list down the factors of 2782
:1,2,13,26,107,214,1391,2782
Greatest Common Factor
We found the factors 4924,2782 . The biggest common factor number is the GCF number.
So the greatest common factor 4924,2782 is 2.
Lets's calculate LCM of 297,9873
| 3 | 297, 9873 |
| 3 | 99, 3291 |
| 33, 1097 |
∴ So the LCM of the given numbers is 3 x 3 x 33 x 1097 = 325809
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/325809
Therefore, the GCF of Fractions 4924/297,2782/9873 is 2/325809
Least Common Multiple of 297,9873 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 297,9873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,9873) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(297,9873) x common factors =9 x 1 = 9
LCM(297,9873) = ( 297 × 9873 ) / 9
LCM(297,9873) = 2932281 / 9
LCM(297,9873) = 325809
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FAQs on GCF of Fractions of 4924/297, 2782/9873
1. What is the HCF of 4924,2782?
The HCF of 4924,2782 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 4924/297, 2782/9873?
Answer: GCF of Numerators as per given numbers 4924/297, 2782/9873 is
GCF of Numerators i.e. for 4924,2782 is 2
LCM of denominators i.e. for 297,9873 is 325809.
Thus, GCF of Fractions is 2/325809.Finally, GCF of Fractions for 4924/297, 2782/9873 is 2/325809.