GCF of 1183/363, 2114/2933
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1183/363, 2114/2933 i.e 7/1064679 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1183/363, 2114/2933.
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 1183/363,2114/2933?
Given fractions are 1183/363,2114/2933
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 1183/363,2114/2933, numerators are 1183,2114
Denominators are 363,2933
The GCF of 1183,2114 is 7 .
LCM of 363,2933 is 1064679.
The greatest common factor of 1183/363,2114/2933 = [GCF of 1183,2114]/[LCM of 363,2933]= 7/1064679
Therefore, the GCF of 1183/363,2114/2933 is 7/1064679.
To find the highest common factor of 1183,2114, we have to find the factors of both numbers and list the highest common factor.
The factors of 1183 are 1, 7, 13, 91, 169, 1183
The factors of 2114 are 1, 2, 7, 14, 151, 302, 1057, 2114
The HCF of 1183,2114 is 7.
Lets's calculate GCF of 1183,2114
| 7 | 1183, 2114 |
| 169, 302 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1183,2114 By Matching Biggest Common Factor Method
Now, list down the factors of 1183
:1,7,13,91,169,1183
Now, list down the factors of 2114
:1,2,7,14,151,302,1057,2114
Greatest Common Factor
We found the factors 1183,2114 . The biggest common factor number is the GCF number.
So the greatest common factor 1183,2114 is 7.
Lets's calculate LCM of 363,2933
Given numbers has no common factors except 1. So, there LCM is their product i.e 1064679
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1064679
Therefore, the GCF of Fractions 1183/363,2114/2933 is 7/1064679
Least Common Multiple of 363,2933 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 363,2933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,2933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,2933) x common factors =1 x 1 = 1
LCM(363,2933) = ( 363 × 2933 ) / 1
LCM(363,2933) = 1064679 / 1
LCM(363,2933) = 1064679
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FAQs on GCF of Fractions of 1183/363, 2114/2933
1. What is the HCF of 1183,2114?
The HCF of 1183,2114 is 7
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 1183/363, 2114/2933?
Answer: GCF of Numerators as per given numbers 1183/363, 2114/2933 is
GCF of Numerators i.e. for 1183,2114 is 7
LCM of denominators i.e. for 363,2933 is 1064679.
Thus, GCF of Fractions is 7/1064679.Finally, GCF of Fractions for 1183/363, 2114/2933 is 7/1064679.