GCF of 2179/214, 1098/5092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2179/214, 1098/5092 i.e 1/544844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2179/214, 1098/5092.
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 2179/214,1098/5092?
Given fractions are 2179/214,1098/5092
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 2179/214,1098/5092, numerators are 2179,1098
Denominators are 214,5092
The GCF of 2179,1098 is 1 .
LCM of 214,5092 is 544844.
The greatest common factor of 2179/214,1098/5092 = [GCF of 2179,1098]/[LCM of 214,5092]= 1/544844
Therefore, the GCF of 2179/214,1098/5092 is 1/544844.
To find the highest common factor of 2179,1098, we have to find the factors of both numbers and list the highest common factor.
The factors of 2179 are 1, 2179
The factors of 1098 are 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098
The HCF of 2179,1098 is 1.
Lets's calculate GCF of 2179,1098
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2179,1098 By Matching Biggest Common Factor Method
Now, list down the factors of 2179
:1,2179
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 2179,1098 . The biggest common factor number is the GCF number.
So the greatest common factor 2179,1098 is 1.
Lets's calculate LCM of 214,5092
| 2 | 214, 5092 |
| 107, 2546 |
∴ So the LCM of the given numbers is 2 x 107 x 2546 = 544844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544844
Therefore, the GCF of Fractions 2179/214,1098/5092 is 1/544844
Least Common Multiple of 214,5092 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 214,5092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,5092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,5092) x common factors =2 x 1 = 2
LCM(214,5092) = ( 214 × 5092 ) / 2
LCM(214,5092) = 1089688 / 2
LCM(214,5092) = 544844
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FAQs on GCF of Fractions of 2179/214, 1098/5092
1. What is the HCF of 2179,1098?
The HCF of 2179,1098 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 2179/214, 1098/5092?
Answer: GCF of Numerators as per given numbers 2179/214, 1098/5092 is
GCF of Numerators i.e. for 2179,1098 is 1
LCM of denominators i.e. for 214,5092 is 544844.
Thus, GCF of Fractions is 1/544844.Finally, GCF of Fractions for 2179/214, 1098/5092 is 1/544844.