GCF of 893/91, 282/399
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 893/91, 282/399 i.e 47/5187 easily. The following is the detailed procedure to determine the greatest common factor of fractions 893/91, 282/399.
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 893/91,282/399?
Given fractions are 893/91,282/399
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 893/91,282/399, numerators are 893,282
Denominators are 91,399
The GCF of 893,282 is 47 .
LCM of 91,399 is 5187.
The greatest common factor of 893/91,282/399 = [GCF of 893,282]/[LCM of 91,399]= 47/5187
Therefore, the GCF of 893/91,282/399 is 47/5187.
To find the highest common factor of 893,282, 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 282 are 1, 2, 3, 6, 47, 94, 141, 282
The HCF of 893,282 is 47.
Lets's calculate GCF of 893,282
| 47 | 893, 282 |
| 19, 6 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 893,282 By Matching Biggest Common Factor Method
Now, list down the factors of 893
:1,19,47,893
Now, list down the factors of 282
:1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 893,282 . The biggest common factor number is the GCF number.
So the greatest common factor 893,282 is 47.
Lets's calculate LCM of 91,399
| 7 | 91, 399 |
| 13, 57 |
∴ So the LCM of the given numbers is 7 x 13 x 57 = 5187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/5187
Therefore, the GCF of Fractions 893/91,282/399 is 47/5187
Least Common Multiple of 91,399 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 91,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,399) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(91,399) x common factors =7 x 1 = 7
LCM(91,399) = ( 91 × 399 ) / 7
LCM(91,399) = 36309 / 7
LCM(91,399) = 5187
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FAQs on GCF of Fractions of 893/91, 282/399
1. What is the HCF of 893,282?
The HCF of 893,282 is 47
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 893/91, 282/399?
Answer: GCF of Numerators as per given numbers 893/91, 282/399 is
GCF of Numerators i.e. for 893,282 is 47
LCM of denominators i.e. for 91,399 is 5187.
Thus, GCF of Fractions is 47/5187.Finally, GCF of Fractions for 893/91, 282/399 is 47/5187.