GCF of 99/428, 523/880, 694/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/428, 523/880, 694/420 i.e 1/1977360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/428, 523/880, 694/420.
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 99/428,523/880,694/420?
Given fractions are 99/428,523/880,694/420
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 99/428,523/880,694/420, numerators are 99,523,694
Denominators are 428,880,420
The GCF of 99,523,694 is 1 .
LCM of 428,880,420 is 1977360.
The greatest common factor of 99/428,523/880,694/420 = [GCF of 99,523,694]/[LCM of 428,880,420]= 1/1977360
Therefore, the GCF of 99/428,523/880,694/420 is 1/1977360.
To find the highest common factor of 99,523,694, 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 523 are 1, 523
The factors of 694 are 1, 2, 347, 694
The HCF of 99,523,694 is 1.
Lets's calculate GCF of 99,523,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 99,523,694 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 523
:1,523
Now, list down the factors of 694
:1,2,347,694
Greatest Common Factor
We found the factors 99,523,694 . The biggest common factor number is the GCF number.
So the greatest common factor 99,523,694 is 1.
Lets's calculate LCM of 428,880,420
| 2 | 428, 880, 420 |
| 2 | 214, 440, 210 |
| 5 | 107, 220, 105 |
| 107, 44, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 107 x 44 x 21 = 1977360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1977360
Therefore, the GCF of Fractions 99/428,523/880,694/420 is 1/1977360
Least Common Multiple of 428,880,420 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 428,880,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,880,420) = 4
common factors(in case of two or more numbers have common factors) = 20
GCF(428,880,420) x common factors =4 x 20 = 80
LCM(428,880,420) = ( 428 × 880 × 420 ) / 80
LCM(428,880,420) = 158188800 / 80
LCM(428,880,420) = 1977360
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FAQs on GCF of Fractions of 99/428, 523/880, 694/420
1. What is the HCF of 99,523,694?
The HCF of 99,523,694 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 99/428, 523/880, 694/420?
Answer: GCF of Numerators as per given numbers 99/428, 523/880, 694/420 is
GCF of Numerators i.e. for 99,523,694 is 1
LCM of denominators i.e. for 428,880,420 is 1977360.
Thus, GCF of Fractions is 1/1977360.Finally, GCF of Fractions for 99/428, 523/880, 694/420 is 1/1977360.