GCF of 2758/998, 8229/3542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2758/998, 8229/3542 i.e 1/1767458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2758/998, 8229/3542.
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 2758/998,8229/3542?
Given fractions are 2758/998,8229/3542
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 2758/998,8229/3542, numerators are 2758,8229
Denominators are 998,3542
The GCF of 2758,8229 is 1 .
LCM of 998,3542 is 1767458.
The greatest common factor of 2758/998,8229/3542 = [GCF of 2758,8229]/[LCM of 998,3542]= 1/1767458
Therefore, the GCF of 2758/998,8229/3542 is 1/1767458.
To find the highest common factor of 2758,8229, we have to find the factors of both numbers and list the highest common factor.
The factors of 2758 are 1, 2, 7, 14, 197, 394, 1379, 2758
The factors of 8229 are 1, 3, 13, 39, 211, 633, 2743, 8229
The HCF of 2758,8229 is 1.
Lets's calculate GCF of 2758,8229
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2758,8229 By Matching Biggest Common Factor Method
Now, list down the factors of 2758
:1,2,7,14,197,394,1379,2758
Now, list down the factors of 8229
:1,3,13,39,211,633,2743,8229
Greatest Common Factor
We found the factors 2758,8229 . The biggest common factor number is the GCF number.
So the greatest common factor 2758,8229 is 1.
Lets's calculate LCM of 998,3542
| 2 | 998, 3542 |
| 499, 1771 |
∴ So the LCM of the given numbers is 2 x 499 x 1771 = 1767458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1767458
Therefore, the GCF of Fractions 2758/998,8229/3542 is 1/1767458
Least Common Multiple of 998,3542 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 998,3542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,3542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,3542) x common factors =2 x 1 = 2
LCM(998,3542) = ( 998 × 3542 ) / 2
LCM(998,3542) = 3534916 / 2
LCM(998,3542) = 1767458
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FAQs on GCF of Fractions of 2758/998, 8229/3542
1. What is the HCF of 2758,8229?
The HCF of 2758,8229 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 2758/998, 8229/3542?
Answer: GCF of Numerators as per given numbers 2758/998, 8229/3542 is
GCF of Numerators i.e. for 2758,8229 is 1
LCM of denominators i.e. for 998,3542 is 1767458.
Thus, GCF of Fractions is 1/1767458.Finally, GCF of Fractions for 2758/998, 8229/3542 is 1/1767458.