GCF of 121/598, 7174/115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 121/598, 7174/115 i.e 1/2990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/598, 7174/115.
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 121/598,7174/115?
Given fractions are 121/598,7174/115
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 121/598,7174/115, numerators are 121,7174
Denominators are 598,115
The GCF of 121,7174 is 1 .
LCM of 598,115 is 2990.
The greatest common factor of 121/598,7174/115 = [GCF of 121,7174]/[LCM of 598,115]= 1/2990
Therefore, the GCF of 121/598,7174/115 is 1/2990.
To find the highest common factor of 121,7174, we have to find the factors of both numbers and list the highest common factor.
The factors of 121 are 1, 11, 121
The factors of 7174 are 1, 2, 17, 34, 211, 422, 3587, 7174
The HCF of 121,7174 is 1.
Lets's calculate GCF of 121,7174
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 121,7174 By Matching Biggest Common Factor Method
Now, list down the factors of 121
:1,11,121
Now, list down the factors of 7174
:1,2,17,34,211,422,3587,7174
Greatest Common Factor
We found the factors 121,7174 . The biggest common factor number is the GCF number.
So the greatest common factor 121,7174 is 1.
Lets's calculate LCM of 598,115
| 23 | 598, 115 |
| 26, 5 |
∴ So the LCM of the given numbers is 23 x 26 x 5 = 2990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2990
Therefore, the GCF of Fractions 121/598,7174/115 is 1/2990
Least Common Multiple of 598,115 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 598,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,115) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(598,115) x common factors =23 x 1 = 23
LCM(598,115) = ( 598 × 115 ) / 23
LCM(598,115) = 68770 / 23
LCM(598,115) = 2990
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FAQs on GCF of Fractions of 121/598, 7174/115
1. What is the HCF of 121,7174?
The HCF of 121,7174 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 121/598, 7174/115?
Answer: GCF of Numerators as per given numbers 121/598, 7174/115 is
GCF of Numerators i.e. for 121,7174 is 1
LCM of denominators i.e. for 598,115 is 2990.
Thus, GCF of Fractions is 1/2990.Finally, GCF of Fractions for 121/598, 7174/115 is 1/2990.