GCF of 1119/342, 6099/656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1119/342, 6099/656 i.e 3/112176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1119/342, 6099/656.
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 1119/342,6099/656?
Given fractions are 1119/342,6099/656
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 1119/342,6099/656, numerators are 1119,6099
Denominators are 342,656
The GCF of 1119,6099 is 3 .
LCM of 342,656 is 112176.
The greatest common factor of 1119/342,6099/656 = [GCF of 1119,6099]/[LCM of 342,656]= 3/112176
Therefore, the GCF of 1119/342,6099/656 is 3/112176.
To find the highest common factor of 1119,6099, we have to find the factors of both numbers and list the highest common factor.
The factors of 1119 are 1, 3, 373, 1119
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The HCF of 1119,6099 is 3.
Lets's calculate GCF of 1119,6099
| 3 | 1119, 6099 |
| 373, 2033 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1119,6099 By Matching Biggest Common Factor Method
Now, list down the factors of 1119
:1,3,373,1119
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Greatest Common Factor
We found the factors 1119,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 1119,6099 is 3.
Lets's calculate LCM of 342,656
| 2 | 342, 656 |
| 171, 328 |
∴ So the LCM of the given numbers is 2 x 171 x 328 = 112176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/112176
Therefore, the GCF of Fractions 1119/342,6099/656 is 3/112176
Least Common Multiple of 342,656 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 342,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,656) x common factors =2 x 1 = 2
LCM(342,656) = ( 342 × 656 ) / 2
LCM(342,656) = 224352 / 2
LCM(342,656) = 112176
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FAQs on GCF of Fractions of 1119/342, 6099/656
1. What is the HCF of 1119,6099?
The HCF of 1119,6099 is 3
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 1119/342, 6099/656?
Answer: GCF of Numerators as per given numbers 1119/342, 6099/656 is
GCF of Numerators i.e. for 1119,6099 is 3
LCM of denominators i.e. for 342,656 is 112176.
Thus, GCF of Fractions is 3/112176.Finally, GCF of Fractions for 1119/342, 6099/656 is 3/112176.