GCF of 2941/285, 2068/7225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2941/285, 2068/7225 i.e 1/411825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2941/285, 2068/7225.
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 2941/285,2068/7225?
Given fractions are 2941/285,2068/7225
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 2941/285,2068/7225, numerators are 2941,2068
Denominators are 285,7225
The GCF of 2941,2068 is 1 .
LCM of 285,7225 is 411825.
The greatest common factor of 2941/285,2068/7225 = [GCF of 2941,2068]/[LCM of 285,7225]= 1/411825
Therefore, the GCF of 2941/285,2068/7225 is 1/411825.
To find the highest common factor of 2941,2068, we have to find the factors of both numbers and list the highest common factor.
The factors of 2941 are 1, 17, 173, 2941
The factors of 2068 are 1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068
The HCF of 2941,2068 is 1.
Lets's calculate GCF of 2941,2068
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2941,2068 By Matching Biggest Common Factor Method
Now, list down the factors of 2941
:1,17,173,2941
Now, list down the factors of 2068
:1,2,4,11,22,44,47,94,188,517,1034,2068
Greatest Common Factor
We found the factors 2941,2068 . The biggest common factor number is the GCF number.
So the greatest common factor 2941,2068 is 1.
Lets's calculate LCM of 285,7225
| 5 | 285, 7225 |
| 57, 1445 |
∴ So the LCM of the given numbers is 5 x 57 x 1445 = 411825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411825
Therefore, the GCF of Fractions 2941/285,2068/7225 is 1/411825
Least Common Multiple of 285,7225 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 285,7225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,7225) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(285,7225) x common factors =5 x 1 = 5
LCM(285,7225) = ( 285 × 7225 ) / 5
LCM(285,7225) = 2059125 / 5
LCM(285,7225) = 411825
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FAQs on GCF of Fractions of 2941/285, 2068/7225
1. What is the HCF of 2941,2068?
The HCF of 2941,2068 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 2941/285, 2068/7225?
Answer: GCF of Numerators as per given numbers 2941/285, 2068/7225 is
GCF of Numerators i.e. for 2941,2068 is 1
LCM of denominators i.e. for 285,7225 is 411825.
Thus, GCF of Fractions is 1/411825.Finally, GCF of Fractions for 2941/285, 2068/7225 is 1/411825.