GCF of 4848/298, 9204/874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4848/298, 9204/874 i.e 12/130226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4848/298, 9204/874.
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 4848/298,9204/874?
Given fractions are 4848/298,9204/874
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 4848/298,9204/874, numerators are 4848,9204
Denominators are 298,874
The GCF of 4848,9204 is 12 .
LCM of 298,874 is 130226.
The greatest common factor of 4848/298,9204/874 = [GCF of 4848,9204]/[LCM of 298,874]= 12/130226
Therefore, the GCF of 4848/298,9204/874 is 12/130226.
To find the highest common factor of 4848,9204, we have to find the factors of both numbers and list the highest common factor.
The factors of 4848 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 4848
The factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204
The HCF of 4848,9204 is 12.
Lets's calculate GCF of 4848,9204
| 2 | 4848, 9204 |
| 2 | 2424, 4602 |
| 3 | 1212, 2301 |
| 404, 767 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4848,9204 By Matching Biggest Common Factor Method
Now, list down the factors of 4848
:1,2,3,4,6,8,12,16,24,48,101,202,303,404,606,808,1212,1616,2424,4848
Now, list down the factors of 9204
:1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Greatest Common Factor
We found the factors 4848,9204 . The biggest common factor number is the GCF number.
So the greatest common factor 4848,9204 is 12.
Lets's calculate LCM of 298,874
| 2 | 298, 874 |
| 149, 437 |
∴ So the LCM of the given numbers is 2 x 149 x 437 = 130226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/130226
Therefore, the GCF of Fractions 4848/298,9204/874 is 12/130226
Least Common Multiple of 298,874 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 298,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,874) x common factors =2 x 1 = 2
LCM(298,874) = ( 298 × 874 ) / 2
LCM(298,874) = 260452 / 2
LCM(298,874) = 130226
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FAQs on GCF of Fractions of 4848/298, 9204/874
1. What is the HCF of 4848,9204?
The HCF of 4848,9204 is 12
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 4848/298, 9204/874?
Answer: GCF of Numerators as per given numbers 4848/298, 9204/874 is
GCF of Numerators i.e. for 4848,9204 is 12
LCM of denominators i.e. for 298,874 is 130226.
Thus, GCF of Fractions is 12/130226.Finally, GCF of Fractions for 4848/298, 9204/874 is 12/130226.