GCF of 5955/786, 9947/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5955/786, 9947/368 i.e 1/144624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5955/786, 9947/368.
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 5955/786,9947/368?
Given fractions are 5955/786,9947/368
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 5955/786,9947/368, numerators are 5955,9947
Denominators are 786,368
The GCF of 5955,9947 is 1 .
LCM of 786,368 is 144624.
The greatest common factor of 5955/786,9947/368 = [GCF of 5955,9947]/[LCM of 786,368]= 1/144624
Therefore, the GCF of 5955/786,9947/368 is 1/144624.
To find the highest common factor of 5955,9947, we have to find the factors of both numbers and list the highest common factor.
The factors of 5955 are 1, 3, 5, 15, 397, 1191, 1985, 5955
The factors of 9947 are 1, 7, 29, 49, 203, 343, 1421, 9947
The HCF of 5955,9947 is 1.
Lets's calculate GCF of 5955,9947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5955,9947 By Matching Biggest Common Factor Method
Now, list down the factors of 5955
:1,3,5,15,397,1191,1985,5955
Now, list down the factors of 9947
:1,7,29,49,203,343,1421,9947
Greatest Common Factor
We found the factors 5955,9947 . The biggest common factor number is the GCF number.
So the greatest common factor 5955,9947 is 1.
Lets's calculate LCM of 786,368
| 2 | 786, 368 |
| 393, 184 |
∴ So the LCM of the given numbers is 2 x 393 x 184 = 144624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144624
Therefore, the GCF of Fractions 5955/786,9947/368 is 1/144624
Least Common Multiple of 786,368 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 786,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,368) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,368) x common factors =2 x 1 = 2
LCM(786,368) = ( 786 × 368 ) / 2
LCM(786,368) = 289248 / 2
LCM(786,368) = 144624
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FAQs on GCF of Fractions of 5955/786, 9947/368
1. What is the HCF of 5955,9947?
The HCF of 5955,9947 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 5955/786, 9947/368?
Answer: GCF of Numerators as per given numbers 5955/786, 9947/368 is
GCF of Numerators i.e. for 5955,9947 is 1
LCM of denominators i.e. for 786,368 is 144624.
Thus, GCF of Fractions is 1/144624.Finally, GCF of Fractions for 5955/786, 9947/368 is 1/144624.