GCF of 6943/290, 2945/895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6943/290, 2945/895 i.e 1/51910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6943/290, 2945/895.
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 6943/290,2945/895?
Given fractions are 6943/290,2945/895
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 6943/290,2945/895, numerators are 6943,2945
Denominators are 290,895
The GCF of 6943,2945 is 1 .
LCM of 290,895 is 51910.
The greatest common factor of 6943/290,2945/895 = [GCF of 6943,2945]/[LCM of 290,895]= 1/51910
Therefore, the GCF of 6943/290,2945/895 is 1/51910.
To find the highest common factor of 6943,2945, we have to find the factors of both numbers and list the highest common factor.
The factors of 6943 are 1, 53, 131, 6943
The factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945
The HCF of 6943,2945 is 1.
Lets's calculate GCF of 6943,2945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6943,2945 By Matching Biggest Common Factor Method
Now, list down the factors of 6943
:1,53,131,6943
Now, list down the factors of 2945
:1,5,19,31,95,155,589,2945
Greatest Common Factor
We found the factors 6943,2945 . The biggest common factor number is the GCF number.
So the greatest common factor 6943,2945 is 1.
Lets's calculate LCM of 290,895
| 5 | 290, 895 |
| 58, 179 |
∴ So the LCM of the given numbers is 5 x 58 x 179 = 51910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51910
Therefore, the GCF of Fractions 6943/290,2945/895 is 1/51910
Least Common Multiple of 290,895 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 290,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,895) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(290,895) x common factors =5 x 1 = 5
LCM(290,895) = ( 290 × 895 ) / 5
LCM(290,895) = 259550 / 5
LCM(290,895) = 51910
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FAQs on GCF of Fractions of 6943/290, 2945/895
1. What is the HCF of 6943,2945?
The HCF of 6943,2945 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 6943/290, 2945/895?
Answer: GCF of Numerators as per given numbers 6943/290, 2945/895 is
GCF of Numerators i.e. for 6943,2945 is 1
LCM of denominators i.e. for 290,895 is 51910.
Thus, GCF of Fractions is 1/51910.Finally, GCF of Fractions for 6943/290, 2945/895 is 1/51910.