GCF of 1098/259, 7004/4414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1098/259, 7004/4414 i.e 2/1143226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1098/259, 7004/4414.
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 1098/259,7004/4414?
Given fractions are 1098/259,7004/4414
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 1098/259,7004/4414, numerators are 1098,7004
Denominators are 259,4414
The GCF of 1098,7004 is 2 .
LCM of 259,4414 is 1143226.
The greatest common factor of 1098/259,7004/4414 = [GCF of 1098,7004]/[LCM of 259,4414]= 2/1143226
Therefore, the GCF of 1098/259,7004/4414 is 2/1143226.
To find the highest common factor of 1098,7004, we have to find the factors of both numbers and list the highest common factor.
The factors of 1098 are 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098
The factors of 7004 are 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004
The HCF of 1098,7004 is 2.
Lets's calculate GCF of 1098,7004
| 2 | 1098, 7004 |
| 549, 3502 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1098,7004 By Matching Biggest Common Factor Method
Now, list down the factors of 1098
:1,2,3,6,9,18,61,122,183,366,549,1098
Now, list down the factors of 7004
:1,2,4,17,34,68,103,206,412,1751,3502,7004
Greatest Common Factor
We found the factors 1098,7004 . The biggest common factor number is the GCF number.
So the greatest common factor 1098,7004 is 2.
Lets's calculate LCM of 259,4414
Given numbers has no common factors except 1. So, there LCM is their product i.e 1143226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1143226
Therefore, the GCF of Fractions 1098/259,7004/4414 is 2/1143226
Least Common Multiple of 259,4414 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 259,4414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,4414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,4414) x common factors =1 x 1 = 1
LCM(259,4414) = ( 259 × 4414 ) / 1
LCM(259,4414) = 1143226 / 1
LCM(259,4414) = 1143226
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1098/259, 7004/4414
1. What is the HCF of 1098,7004?
The HCF of 1098,7004 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 1098/259, 7004/4414?
Answer: GCF of Numerators as per given numbers 1098/259, 7004/4414 is
GCF of Numerators i.e. for 1098,7004 is 2
LCM of denominators i.e. for 259,4414 is 1143226.
Thus, GCF of Fractions is 2/1143226.Finally, GCF of Fractions for 1098/259, 7004/4414 is 2/1143226.