GCF of 893/99, 874/3405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 893/99, 874/3405 i.e 19/112365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 893/99, 874/3405.
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 893/99,874/3405?
Given fractions are 893/99,874/3405
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 893/99,874/3405, numerators are 893,874
Denominators are 99,3405
The GCF of 893,874 is 19 .
LCM of 99,3405 is 112365.
The greatest common factor of 893/99,874/3405 = [GCF of 893,874]/[LCM of 99,3405]= 19/112365
Therefore, the GCF of 893/99,874/3405 is 19/112365.
To find the highest common factor of 893,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 893 are 1, 19, 47, 893
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 893,874 is 19.
Lets's calculate GCF of 893,874
| 19 | 893, 874 |
| 47, 46 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 893,874 By Matching Biggest Common Factor Method
Now, list down the factors of 893
:1,19,47,893
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 893,874 . The biggest common factor number is the GCF number.
So the greatest common factor 893,874 is 19.
Lets's calculate LCM of 99,3405
| 3 | 99, 3405 |
| 33, 1135 |
∴ So the LCM of the given numbers is 3 x 33 x 1135 = 112365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/112365
Therefore, the GCF of Fractions 893/99,874/3405 is 19/112365
Least Common Multiple of 99,3405 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 99,3405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,3405) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(99,3405) x common factors =3 x 1 = 3
LCM(99,3405) = ( 99 × 3405 ) / 3
LCM(99,3405) = 337095 / 3
LCM(99,3405) = 112365
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FAQs on GCF of Fractions of 893/99, 874/3405
1. What is the HCF of 893,874?
The HCF of 893,874 is 19
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 893/99, 874/3405?
Answer: GCF of Numerators as per given numbers 893/99, 874/3405 is
GCF of Numerators i.e. for 893,874 is 19
LCM of denominators i.e. for 99,3405 is 112365.
Thus, GCF of Fractions is 19/112365.Finally, GCF of Fractions for 893/99, 874/3405 is 19/112365.