GCF of 3051/870, 9727/543
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3051/870, 9727/543 i.e 1/157470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3051/870, 9727/543.
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 3051/870,9727/543?
Given fractions are 3051/870,9727/543
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 3051/870,9727/543, numerators are 3051,9727
Denominators are 870,543
The GCF of 3051,9727 is 1 .
LCM of 870,543 is 157470.
The greatest common factor of 3051/870,9727/543 = [GCF of 3051,9727]/[LCM of 870,543]= 1/157470
Therefore, the GCF of 3051/870,9727/543 is 1/157470.
To find the highest common factor of 3051,9727, we have to find the factors of both numbers and list the highest common factor.
The factors of 3051 are 1, 3, 9, 27, 113, 339, 1017, 3051
The factors of 9727 are 1, 71, 137, 9727
The HCF of 3051,9727 is 1.
Lets's calculate GCF of 3051,9727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3051,9727 By Matching Biggest Common Factor Method
Now, list down the factors of 3051
:1,3,9,27,113,339,1017,3051
Now, list down the factors of 9727
:1,71,137,9727
Greatest Common Factor
We found the factors 3051,9727 . The biggest common factor number is the GCF number.
So the greatest common factor 3051,9727 is 1.
Lets's calculate LCM of 870,543
| 3 | 870, 543 |
| 290, 181 |
∴ So the LCM of the given numbers is 3 x 290 x 181 = 157470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157470
Therefore, the GCF of Fractions 3051/870,9727/543 is 1/157470
Least Common Multiple of 870,543 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 870,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,543) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(870,543) x common factors =3 x 1 = 3
LCM(870,543) = ( 870 × 543 ) / 3
LCM(870,543) = 472410 / 3
LCM(870,543) = 157470
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FAQs on GCF of Fractions of 3051/870, 9727/543
1. What is the HCF of 3051,9727?
The HCF of 3051,9727 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 3051/870, 9727/543?
Answer: GCF of Numerators as per given numbers 3051/870, 9727/543 is
GCF of Numerators i.e. for 3051,9727 is 1
LCM of denominators i.e. for 870,543 is 157470.
Thus, GCF of Fractions is 1/157470.Finally, GCF of Fractions for 3051/870, 9727/543 is 1/157470.