GCF of 5977/374, 7111/1658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5977/374, 7111/1658 i.e 1/310046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5977/374, 7111/1658.
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 5977/374,7111/1658?
Given fractions are 5977/374,7111/1658
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 5977/374,7111/1658, numerators are 5977,7111
Denominators are 374,1658
The GCF of 5977,7111 is 1 .
LCM of 374,1658 is 310046.
The greatest common factor of 5977/374,7111/1658 = [GCF of 5977,7111]/[LCM of 374,1658]= 1/310046
Therefore, the GCF of 5977/374,7111/1658 is 1/310046.
To find the highest common factor of 5977,7111, we have to find the factors of both numbers and list the highest common factor.
The factors of 5977 are 1, 43, 139, 5977
The factors of 7111 are 1, 13, 547, 7111
The HCF of 5977,7111 is 1.
Lets's calculate GCF of 5977,7111
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5977,7111 By Matching Biggest Common Factor Method
Now, list down the factors of 5977
:1,43,139,5977
Now, list down the factors of 7111
:1,13,547,7111
Greatest Common Factor
We found the factors 5977,7111 . The biggest common factor number is the GCF number.
So the greatest common factor 5977,7111 is 1.
Lets's calculate LCM of 374,1658
| 2 | 374, 1658 |
| 187, 829 |
∴ So the LCM of the given numbers is 2 x 187 x 829 = 310046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310046
Therefore, the GCF of Fractions 5977/374,7111/1658 is 1/310046
Least Common Multiple of 374,1658 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 374,1658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,1658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,1658) x common factors =2 x 1 = 2
LCM(374,1658) = ( 374 × 1658 ) / 2
LCM(374,1658) = 620092 / 2
LCM(374,1658) = 310046
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FAQs on GCF of Fractions of 5977/374, 7111/1658
1. What is the HCF of 5977,7111?
The HCF of 5977,7111 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 5977/374, 7111/1658?
Answer: GCF of Numerators as per given numbers 5977/374, 7111/1658 is
GCF of Numerators i.e. for 5977,7111 is 1
LCM of denominators i.e. for 374,1658 is 310046.
Thus, GCF of Fractions is 1/310046.Finally, GCF of Fractions for 5977/374, 7111/1658 is 1/310046.