GCF of 5974/561, 7098/9308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5974/561, 7098/9308 i.e 2/5221788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5974/561, 7098/9308.
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 5974/561,7098/9308?
Given fractions are 5974/561,7098/9308
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 5974/561,7098/9308, numerators are 5974,7098
Denominators are 561,9308
The GCF of 5974,7098 is 2 .
LCM of 561,9308 is 5221788.
The greatest common factor of 5974/561,7098/9308 = [GCF of 5974,7098]/[LCM of 561,9308]= 2/5221788
Therefore, the GCF of 5974/561,7098/9308 is 2/5221788.
To find the highest common factor of 5974,7098, we have to find the factors of both numbers and list the highest common factor.
The factors of 5974 are 1, 2, 29, 58, 103, 206, 2987, 5974
The factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098
The HCF of 5974,7098 is 2.
Lets's calculate GCF of 5974,7098
| 2 | 5974, 7098 |
| 2987, 3549 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5974,7098 By Matching Biggest Common Factor Method
Now, list down the factors of 5974
:1,2,29,58,103,206,2987,5974
Now, list down the factors of 7098
:1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098
Greatest Common Factor
We found the factors 5974,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 5974,7098 is 2.
Lets's calculate LCM of 561,9308
Given numbers has no common factors except 1. So, there LCM is their product i.e 5221788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5221788
Therefore, the GCF of Fractions 5974/561,7098/9308 is 2/5221788
Least Common Multiple of 561,9308 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 561,9308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,9308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,9308) x common factors =1 x 1 = 1
LCM(561,9308) = ( 561 × 9308 ) / 1
LCM(561,9308) = 5221788 / 1
LCM(561,9308) = 5221788
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FAQs on GCF of Fractions of 5974/561, 7098/9308
1. What is the HCF of 5974,7098?
The HCF of 5974,7098 is 2
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 5974/561, 7098/9308?
Answer: GCF of Numerators as per given numbers 5974/561, 7098/9308 is
GCF of Numerators i.e. for 5974,7098 is 2
LCM of denominators i.e. for 561,9308 is 5221788.
Thus, GCF of Fractions is 2/5221788.Finally, GCF of Fractions for 5974/561, 7098/9308 is 2/5221788.