GCF of 354/99, 891/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 354/99, 891/708 i.e 3/23364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 354/99, 891/708.
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 354/99,891/708?
Given fractions are 354/99,891/708
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 354/99,891/708, numerators are 354,891
Denominators are 99,708
The GCF of 354,891 is 3 .
LCM of 99,708 is 23364.
The greatest common factor of 354/99,891/708 = [GCF of 354,891]/[LCM of 99,708]= 3/23364
Therefore, the GCF of 354/99,891/708 is 3/23364.
To find the highest common factor of 354,891, we have to find the factors of both numbers and list the highest common factor.
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The HCF of 354,891 is 3.
Lets's calculate GCF of 354,891
| 3 | 354, 891 |
| 118, 297 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 354,891 By Matching Biggest Common Factor Method
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Now, list down the factors of 891
:1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 354,891 . The biggest common factor number is the GCF number.
So the greatest common factor 354,891 is 3.
Lets's calculate LCM of 99,708
| 3 | 99, 708 |
| 33, 236 |
∴ So the LCM of the given numbers is 3 x 33 x 236 = 23364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/23364
Therefore, the GCF of Fractions 354/99,891/708 is 3/23364
Least Common Multiple of 99,708 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 99,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,708) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(99,708) x common factors =3 x 1 = 3
LCM(99,708) = ( 99 × 708 ) / 3
LCM(99,708) = 70092 / 3
LCM(99,708) = 23364
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FAQs on GCF of Fractions of 354/99, 891/708
1. What is the HCF of 354,891?
The HCF of 354,891 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 354/99, 891/708?
Answer: GCF of Numerators as per given numbers 354/99, 891/708 is
GCF of Numerators i.e. for 354,891 is 3
LCM of denominators i.e. for 99,708 is 23364.
Thus, GCF of Fractions is 3/23364.Finally, GCF of Fractions for 354/99, 891/708 is 3/23364.