GCF of 99/251, 864/175, 760/502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/251, 864/175, 760/502 i.e 1/87850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/251, 864/175, 760/502.
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 99/251,864/175,760/502?
Given fractions are 99/251,864/175,760/502
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 99/251,864/175,760/502, numerators are 99,864,760
Denominators are 251,175,502
The GCF of 99,864,760 is 1 .
LCM of 251,175,502 is 87850.
The greatest common factor of 99/251,864/175,760/502 = [GCF of 99,864,760]/[LCM of 251,175,502]= 1/87850
Therefore, the GCF of 99/251,864/175,760/502 is 1/87850.
To find the highest common factor of 99,864,760, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The HCF of 99,864,760 is 1.
Lets's calculate GCF of 99,864,760
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 99,864,760 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 864
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 99,864,760 . The biggest common factor number is the GCF number.
So the greatest common factor 99,864,760 is 1.
Lets's calculate LCM of 251,175,502
| 251 | 251, 175, 502 |
| 1, 175, 2 |
∴ So the LCM of the given numbers is 251 x 1 x 175 x 2 = 87850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87850
Therefore, the GCF of Fractions 99/251,864/175,760/502 is 1/87850
Least Common Multiple of 251,175,502 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 251,175,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,175,502) = 1
common factors(in case of two or more numbers have common factors) = 251
GCF(251,175,502) x common factors =1 x 251 = 251
LCM(251,175,502) = ( 251 × 175 × 502 ) / 251
LCM(251,175,502) = 22050350 / 251
LCM(251,175,502) = 87850
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FAQs on GCF of Fractions of 99/251, 864/175, 760/502
1. What is the HCF of 99,864,760?
The HCF of 99,864,760 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 99/251, 864/175, 760/502?
Answer: GCF of Numerators as per given numbers 99/251, 864/175, 760/502 is
GCF of Numerators i.e. for 99,864,760 is 1
LCM of denominators i.e. for 251,175,502 is 87850.
Thus, GCF of Fractions is 1/87850.Finally, GCF of Fractions for 99/251, 864/175, 760/502 is 1/87850.