GCF of 7071/290, 6293/7975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7071/290, 6293/7975 i.e 1/15950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7071/290, 6293/7975.
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 7071/290,6293/7975?
Given fractions are 7071/290,6293/7975
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 7071/290,6293/7975, numerators are 7071,6293
Denominators are 290,7975
The GCF of 7071,6293 is 1 .
LCM of 290,7975 is 15950.
The greatest common factor of 7071/290,6293/7975 = [GCF of 7071,6293]/[LCM of 290,7975]= 1/15950
Therefore, the GCF of 7071/290,6293/7975 is 1/15950.
To find the highest common factor of 7071,6293, we have to find the factors of both numbers and list the highest common factor.
The factors of 7071 are 1, 3, 2357, 7071
The factors of 6293 are 1, 7, 29, 31, 203, 217, 899, 6293
The HCF of 7071,6293 is 1.
Lets's calculate GCF of 7071,6293
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7071,6293 By Matching Biggest Common Factor Method
Now, list down the factors of 7071
:1,3,2357,7071
Now, list down the factors of 6293
:1,7,29,31,203,217,899,6293
Greatest Common Factor
We found the factors 7071,6293 . The biggest common factor number is the GCF number.
So the greatest common factor 7071,6293 is 1.
Lets's calculate LCM of 290,7975
| 5 | 290, 7975 |
| 29 | 58, 1595 |
| 2, 55 |
∴ So the LCM of the given numbers is 5 x 29 x 2 x 55 = 15950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15950
Therefore, the GCF of Fractions 7071/290,6293/7975 is 1/15950
Least Common Multiple of 290,7975 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 290,7975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,7975) = 145
common factors(in case of two or more numbers have common factors) = 1
GCF(290,7975) x common factors =145 x 1 = 145
LCM(290,7975) = ( 290 × 7975 ) / 145
LCM(290,7975) = 2312750 / 145
LCM(290,7975) = 15950
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FAQs on GCF of Fractions of 7071/290, 6293/7975
1. What is the HCF of 7071,6293?
The HCF of 7071,6293 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 7071/290, 6293/7975?
Answer: GCF of Numerators as per given numbers 7071/290, 6293/7975 is
GCF of Numerators i.e. for 7071,6293 is 1
LCM of denominators i.e. for 290,7975 is 15950.
Thus, GCF of Fractions is 1/15950.Finally, GCF of Fractions for 7071/290, 6293/7975 is 1/15950.