GCF of 2151/442, 1098/7420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2151/442, 1098/7420 i.e 9/1639820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2151/442, 1098/7420.
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 2151/442,1098/7420?
Given fractions are 2151/442,1098/7420
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 2151/442,1098/7420, numerators are 2151,1098
Denominators are 442,7420
The GCF of 2151,1098 is 9 .
LCM of 442,7420 is 1639820.
The greatest common factor of 2151/442,1098/7420 = [GCF of 2151,1098]/[LCM of 442,7420]= 9/1639820
Therefore, the GCF of 2151/442,1098/7420 is 9/1639820.
To find the highest common factor of 2151,1098, we have to find the factors of both numbers and list the highest common factor.
The factors of 2151 are 1, 3, 9, 239, 717, 2151
The factors of 1098 are 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098
The HCF of 2151,1098 is 9.
Lets's calculate GCF of 2151,1098
| 3 | 2151, 1098 |
| 3 | 717, 366 |
| 239, 122 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2151,1098 By Matching Biggest Common Factor Method
Now, list down the factors of 2151
:1,3,9,239,717,2151
Now, list down the factors of 1098
:1,2,3,6,9,18,61,122,183,366,549,1098
Greatest Common Factor
We found the factors 2151,1098 . The biggest common factor number is the GCF number.
So the greatest common factor 2151,1098 is 9.
Lets's calculate LCM of 442,7420
| 2 | 442, 7420 |
| 221, 3710 |
∴ So the LCM of the given numbers is 2 x 221 x 3710 = 1639820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1639820
Therefore, the GCF of Fractions 2151/442,1098/7420 is 9/1639820
Least Common Multiple of 442,7420 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 442,7420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,7420) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,7420) x common factors =2 x 1 = 2
LCM(442,7420) = ( 442 × 7420 ) / 2
LCM(442,7420) = 3279640 / 2
LCM(442,7420) = 1639820
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FAQs on GCF of Fractions of 2151/442, 1098/7420
1. What is the HCF of 2151,1098?
The HCF of 2151,1098 is 9
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 2151/442, 1098/7420?
Answer: GCF of Numerators as per given numbers 2151/442, 1098/7420 is
GCF of Numerators i.e. for 2151,1098 is 9
LCM of denominators i.e. for 442,7420 is 1639820.
Thus, GCF of Fractions is 9/1639820.Finally, GCF of Fractions for 2151/442, 1098/7420 is 9/1639820.