GCF of 301/242, 994/417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 301/242, 994/417 i.e 7/100914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/242, 994/417.
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 301/242,994/417?
Given fractions are 301/242,994/417
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 301/242,994/417, numerators are 301,994
Denominators are 242,417
The GCF of 301,994 is 7 .
LCM of 242,417 is 100914.
The greatest common factor of 301/242,994/417 = [GCF of 301,994]/[LCM of 242,417]= 7/100914
Therefore, the GCF of 301/242,994/417 is 7/100914.
To find the highest common factor of 301,994, we have to find the factors of both numbers and list the highest common factor.
The factors of 301 are 1, 7, 43, 301
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The HCF of 301,994 is 7.
Lets's calculate GCF of 301,994
| 7 | 301, 994 |
| 43, 142 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 301,994 By Matching Biggest Common Factor Method
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 301,994 . The biggest common factor number is the GCF number.
So the greatest common factor 301,994 is 7.
Lets's calculate LCM of 242,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 100914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/100914
Therefore, the GCF of Fractions 301/242,994/417 is 7/100914
Least Common Multiple of 242,417 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 242,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,417) x common factors =1 x 1 = 1
LCM(242,417) = ( 242 × 417 ) / 1
LCM(242,417) = 100914 / 1
LCM(242,417) = 100914
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FAQs on GCF of Fractions of 301/242, 994/417
1. What is the HCF of 301,994?
The HCF of 301,994 is 7
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 301/242, 994/417?
Answer: GCF of Numerators as per given numbers 301/242, 994/417 is
GCF of Numerators i.e. for 301,994 is 7
LCM of denominators i.e. for 242,417 is 100914.
Thus, GCF of Fractions is 7/100914.Finally, GCF of Fractions for 301/242, 994/417 is 7/100914.