GCF of 28/884, 721/387, 392/261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/884, 721/387, 392/261 i.e 7/9921132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/884, 721/387, 392/261.
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 28/884,721/387,392/261?
Given fractions are 28/884,721/387,392/261
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 28/884,721/387,392/261, numerators are 28,721,392
Denominators are 884,387,261
The GCF of 28,721,392 is 7 .
LCM of 884,387,261 is 9921132.
The greatest common factor of 28/884,721/387,392/261 = [GCF of 28,721,392]/[LCM of 884,387,261]= 7/9921132
Therefore, the GCF of 28/884,721/387,392/261 is 7/9921132.
To find the highest common factor of 28,721,392, 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 721 are 1, 7, 103, 721
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The HCF of 28,721,392 is 7.
Lets's calculate GCF of 28,721,392
| 7 | 28, 721, 392 |
| 4, 103, 56 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 28,721,392 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 721
:1,7,103,721
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 28,721,392 . The biggest common factor number is the GCF number.
So the greatest common factor 28,721,392 is 7.
Lets's calculate LCM of 884,387,261
| 3 | 884, 387, 261 |
| 3 | 884, 129, 87 |
| 884, 43, 29 |
∴ So the LCM of the given numbers is 3 x 3 x 884 x 43 x 29 = 9921132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/9921132
Therefore, the GCF of Fractions 28/884,721/387,392/261 is 7/9921132
Least Common Multiple of 884,387,261 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 884,387,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,387,261) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(884,387,261) x common factors =1 x 9 = 9
LCM(884,387,261) = ( 884 × 387 × 261 ) / 9
LCM(884,387,261) = 89290188 / 9
LCM(884,387,261) = 9921132
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FAQs on GCF of Fractions of 28/884, 721/387, 392/261
1. What is the HCF of 28,721,392?
The HCF of 28,721,392 is 7
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 28/884, 721/387, 392/261?
Answer: GCF of Numerators as per given numbers 28/884, 721/387, 392/261 is
GCF of Numerators i.e. for 28,721,392 is 7
LCM of denominators i.e. for 884,387,261 is 9921132.
Thus, GCF of Fractions is 7/9921132.Finally, GCF of Fractions for 28/884, 721/387, 392/261 is 7/9921132.