GCF of 1098/436, 9874/8880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1098/436, 9874/8880 i.e 2/967920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1098/436, 9874/8880.
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 1098/436,9874/8880?
Given fractions are 1098/436,9874/8880
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 1098/436,9874/8880, numerators are 1098,9874
Denominators are 436,8880
The GCF of 1098,9874 is 2 .
LCM of 436,8880 is 967920.
The greatest common factor of 1098/436,9874/8880 = [GCF of 1098,9874]/[LCM of 436,8880]= 2/967920
Therefore, the GCF of 1098/436,9874/8880 is 2/967920.
To find the highest common factor of 1098,9874, 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 9874 are 1, 2, 4937, 9874
The HCF of 1098,9874 is 2.
Lets's calculate GCF of 1098,9874
| 2 | 1098, 9874 |
| 549, 4937 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1098,9874 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 9874
:1,2,4937,9874
Greatest Common Factor
We found the factors 1098,9874 . The biggest common factor number is the GCF number.
So the greatest common factor 1098,9874 is 2.
Lets's calculate LCM of 436,8880
| 2 | 436, 8880 |
| 2 | 218, 4440 |
| 109, 2220 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 2220 = 967920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/967920
Therefore, the GCF of Fractions 1098/436,9874/8880 is 2/967920
Least Common Multiple of 436,8880 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 436,8880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,8880) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,8880) x common factors =4 x 1 = 4
LCM(436,8880) = ( 436 × 8880 ) / 4
LCM(436,8880) = 3871680 / 4
LCM(436,8880) = 967920
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FAQs on GCF of Fractions of 1098/436, 9874/8880
1. What is the HCF of 1098,9874?
The HCF of 1098,9874 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 1098/436, 9874/8880?
Answer: GCF of Numerators as per given numbers 1098/436, 9874/8880 is
GCF of Numerators i.e. for 1098,9874 is 2
LCM of denominators i.e. for 436,8880 is 967920.
Thus, GCF of Fractions is 2/967920.Finally, GCF of Fractions for 1098/436, 9874/8880 is 2/967920.