GCF of 28/99, 456/72, 760/840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/99, 456/72, 760/840 i.e 4/27720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/99, 456/72, 760/840.
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 28/99,456/72,760/840?
Given fractions are 28/99,456/72,760/840
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 28/99,456/72,760/840, numerators are 28,456,760
Denominators are 99,72,840
The GCF of 28,456,760 is 4 .
LCM of 99,72,840 is 27720.
The greatest common factor of 28/99,456/72,760/840 = [GCF of 28,456,760]/[LCM of 99,72,840]= 4/27720
Therefore, the GCF of 28/99,456/72,760/840 is 4/27720.
To find the highest common factor of 28,456,760, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The HCF of 28,456,760 is 4.
Lets's calculate GCF of 28,456,760
| 2 | 28, 456, 760 |
| 2 | 14, 228, 380 |
| 7, 114, 190 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 28,456,760 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 456
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
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 28,456,760 . The biggest common factor number is the GCF number.
So the greatest common factor 28,456,760 is 4.
Lets's calculate LCM of 99,72,840
| 2 | 99, 72, 840 |
| 2 | 99, 36, 420 |
| 2 | 99, 18, 210 |
| 3 | 99, 9, 105 |
| 3 | 33, 3, 35 |
| 11, 1, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 1 x 35 = 27720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/27720
Therefore, the GCF of Fractions 28/99,456/72,760/840 is 4/27720
Least Common Multiple of 99,72,840 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 99,72,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,72,840) = 3
common factors(in case of two or more numbers have common factors) = 72
GCF(99,72,840) x common factors =3 x 72 = 216
LCM(99,72,840) = ( 99 × 72 × 840 ) / 216
LCM(99,72,840) = 5987520 / 216
LCM(99,72,840) = 27720
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FAQs on GCF of Fractions of 28/99, 456/72, 760/840
1. What is the HCF of 28,456,760?
The HCF of 28,456,760 is 4
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 28/99, 456/72, 760/840?
Answer: GCF of Numerators as per given numbers 28/99, 456/72, 760/840 is
GCF of Numerators i.e. for 28,456,760 is 4
LCM of denominators i.e. for 99,72,840 is 27720.
Thus, GCF of Fractions is 4/27720.Finally, GCF of Fractions for 28/99, 456/72, 760/840 is 4/27720.