GCF of 2448/879, 7176/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2448/879, 7176/610 i.e 24/536190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2448/879, 7176/610.
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 2448/879,7176/610?
Given fractions are 2448/879,7176/610
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 2448/879,7176/610, numerators are 2448,7176
Denominators are 879,610
The GCF of 2448,7176 is 24 .
LCM of 879,610 is 536190.
The greatest common factor of 2448/879,7176/610 = [GCF of 2448,7176]/[LCM of 879,610]= 24/536190
Therefore, the GCF of 2448/879,7176/610 is 24/536190.
To find the highest common factor of 2448,7176, we have to find the factors of both numbers and list the highest common factor.
The factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448
The factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176
The HCF of 2448,7176 is 24.
Lets's calculate GCF of 2448,7176
| 2 | 2448, 7176 |
| 2 | 1224, 3588 |
| 2 | 612, 1794 |
| 3 | 306, 897 |
| 102, 299 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 2448,7176 By Matching Biggest Common Factor Method
Now, list down the factors of 2448
:1,2,3,4,6,8,9,12,16,17,18,24,34,36,48,51,68,72,102,136,144,153,204,272,306,408,612,816,1224,2448
Now, list down the factors of 7176
:1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176
Greatest Common Factor
We found the factors 2448,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 2448,7176 is 24.
Lets's calculate LCM of 879,610
Given numbers has no common factors except 1. So, there LCM is their product i.e 536190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/536190
Therefore, the GCF of Fractions 2448/879,7176/610 is 24/536190
Least Common Multiple of 879,610 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 879,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,610) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,610) x common factors =1 x 1 = 1
LCM(879,610) = ( 879 × 610 ) / 1
LCM(879,610) = 536190 / 1
LCM(879,610) = 536190
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FAQs on GCF of Fractions of 2448/879, 7176/610
1. What is the HCF of 2448,7176?
The HCF of 2448,7176 is 24
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 2448/879, 7176/610?
Answer: GCF of Numerators as per given numbers 2448/879, 7176/610 is
GCF of Numerators i.e. for 2448,7176 is 24
LCM of denominators i.e. for 879,610 is 536190.
Thus, GCF of Fractions is 24/536190.Finally, GCF of Fractions for 2448/879, 7176/610 is 24/536190.