GCF of 3098/556, 2233/7546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3098/556, 2233/7546 i.e 1/2097788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3098/556, 2233/7546.
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 3098/556,2233/7546?
Given fractions are 3098/556,2233/7546
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 3098/556,2233/7546, numerators are 3098,2233
Denominators are 556,7546
The GCF of 3098,2233 is 1 .
LCM of 556,7546 is 2097788.
The greatest common factor of 3098/556,2233/7546 = [GCF of 3098,2233]/[LCM of 556,7546]= 1/2097788
Therefore, the GCF of 3098/556,2233/7546 is 1/2097788.
To find the highest common factor of 3098,2233, we have to find the factors of both numbers and list the highest common factor.
The factors of 3098 are 1, 2, 1549, 3098
The factors of 2233 are 1, 7, 11, 29, 77, 203, 319, 2233
The HCF of 3098,2233 is 1.
Lets's calculate GCF of 3098,2233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3098,2233 By Matching Biggest Common Factor Method
Now, list down the factors of 3098
:1,2,1549,3098
Now, list down the factors of 2233
:1,7,11,29,77,203,319,2233
Greatest Common Factor
We found the factors 3098,2233 . The biggest common factor number is the GCF number.
So the greatest common factor 3098,2233 is 1.
Lets's calculate LCM of 556,7546
| 2 | 556, 7546 |
| 278, 3773 |
∴ So the LCM of the given numbers is 2 x 278 x 3773 = 2097788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2097788
Therefore, the GCF of Fractions 3098/556,2233/7546 is 1/2097788
Least Common Multiple of 556,7546 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 556,7546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,7546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(556,7546) x common factors =2 x 1 = 2
LCM(556,7546) = ( 556 × 7546 ) / 2
LCM(556,7546) = 4195576 / 2
LCM(556,7546) = 2097788
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FAQs on GCF of Fractions of 3098/556, 2233/7546
1. What is the HCF of 3098,2233?
The HCF of 3098,2233 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 3098/556, 2233/7546?
Answer: GCF of Numerators as per given numbers 3098/556, 2233/7546 is
GCF of Numerators i.e. for 3098,2233 is 1
LCM of denominators i.e. for 556,7546 is 2097788.
Thus, GCF of Fractions is 1/2097788.Finally, GCF of Fractions for 3098/556, 2233/7546 is 1/2097788.