GCF of 2499/828, 8544/5175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2499/828, 8544/5175 i.e 3/20700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2499/828, 8544/5175.
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 2499/828,8544/5175?
Given fractions are 2499/828,8544/5175
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 2499/828,8544/5175, numerators are 2499,8544
Denominators are 828,5175
The GCF of 2499,8544 is 3 .
LCM of 828,5175 is 20700.
The greatest common factor of 2499/828,8544/5175 = [GCF of 2499,8544]/[LCM of 828,5175]= 3/20700
Therefore, the GCF of 2499/828,8544/5175 is 3/20700.
To find the highest common factor of 2499,8544, we have to find the factors of both numbers and list the highest common factor.
The factors of 2499 are 1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499
The factors of 8544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544
The HCF of 2499,8544 is 3.
Lets's calculate GCF of 2499,8544
| 3 | 2499, 8544 |
| 833, 2848 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2499,8544 By Matching Biggest Common Factor Method
Now, list down the factors of 2499
:1,3,7,17,21,49,51,119,147,357,833,2499
Now, list down the factors of 8544
:1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544
Greatest Common Factor
We found the factors 2499,8544 . The biggest common factor number is the GCF number.
So the greatest common factor 2499,8544 is 3.
Lets's calculate LCM of 828,5175
| 3 | 828, 5175 |
| 3 | 276, 1725 |
| 23 | 92, 575 |
| 4, 25 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 4 x 25 = 20700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20700
Therefore, the GCF of Fractions 2499/828,8544/5175 is 3/20700
Least Common Multiple of 828,5175 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 828,5175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,5175) = 207
common factors(in case of two or more numbers have common factors) = 1
GCF(828,5175) x common factors =207 x 1 = 207
LCM(828,5175) = ( 828 × 5175 ) / 207
LCM(828,5175) = 4284900 / 207
LCM(828,5175) = 20700
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FAQs on GCF of Fractions of 2499/828, 8544/5175
1. What is the HCF of 2499,8544?
The HCF of 2499,8544 is 3
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 2499/828, 8544/5175?
Answer: GCF of Numerators as per given numbers 2499/828, 8544/5175 is
GCF of Numerators i.e. for 2499,8544 is 3
LCM of denominators i.e. for 828,5175 is 20700.
Thus, GCF of Fractions is 3/20700.Finally, GCF of Fractions for 2499/828, 8544/5175 is 3/20700.