GCF of 5954/174, 7977/6860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5954/174, 7977/6860 i.e 1/596820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5954/174, 7977/6860.
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 5954/174,7977/6860?
Given fractions are 5954/174,7977/6860
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 5954/174,7977/6860, numerators are 5954,7977
Denominators are 174,6860
The GCF of 5954,7977 is 1 .
LCM of 174,6860 is 596820.
The greatest common factor of 5954/174,7977/6860 = [GCF of 5954,7977]/[LCM of 174,6860]= 1/596820
Therefore, the GCF of 5954/174,7977/6860 is 1/596820.
To find the highest common factor of 5954,7977, we have to find the factors of both numbers and list the highest common factor.
The factors of 5954 are 1, 2, 13, 26, 229, 458, 2977, 5954
The factors of 7977 are 1, 3, 2659, 7977
The HCF of 5954,7977 is 1.
Lets's calculate GCF of 5954,7977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5954,7977 By Matching Biggest Common Factor Method
Now, list down the factors of 5954
:1,2,13,26,229,458,2977,5954
Now, list down the factors of 7977
:1,3,2659,7977
Greatest Common Factor
We found the factors 5954,7977 . The biggest common factor number is the GCF number.
So the greatest common factor 5954,7977 is 1.
Lets's calculate LCM of 174,6860
| 2 | 174, 6860 |
| 87, 3430 |
∴ So the LCM of the given numbers is 2 x 87 x 3430 = 596820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/596820
Therefore, the GCF of Fractions 5954/174,7977/6860 is 1/596820
Least Common Multiple of 174,6860 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 174,6860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,6860) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,6860) x common factors =2 x 1 = 2
LCM(174,6860) = ( 174 × 6860 ) / 2
LCM(174,6860) = 1193640 / 2
LCM(174,6860) = 596820
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FAQs on GCF of Fractions of 5954/174, 7977/6860
1. What is the HCF of 5954,7977?
The HCF of 5954,7977 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 5954/174, 7977/6860?
Answer: GCF of Numerators as per given numbers 5954/174, 7977/6860 is
GCF of Numerators i.e. for 5954,7977 is 1
LCM of denominators i.e. for 174,6860 is 596820.
Thus, GCF of Fractions is 1/596820.Finally, GCF of Fractions for 5954/174, 7977/6860 is 1/596820.