GCF of 2607/988, 1161/3194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2607/988, 1161/3194 i.e 3/1577836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2607/988, 1161/3194.
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 2607/988,1161/3194?
Given fractions are 2607/988,1161/3194
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 2607/988,1161/3194, numerators are 2607,1161
Denominators are 988,3194
The GCF of 2607,1161 is 3 .
LCM of 988,3194 is 1577836.
The greatest common factor of 2607/988,1161/3194 = [GCF of 2607,1161]/[LCM of 988,3194]= 3/1577836
Therefore, the GCF of 2607/988,1161/3194 is 3/1577836.
To find the highest common factor of 2607,1161, we have to find the factors of both numbers and list the highest common factor.
The factors of 2607 are 1, 3, 11, 33, 79, 237, 869, 2607
The factors of 1161 are 1, 3, 9, 27, 43, 129, 387, 1161
The HCF of 2607,1161 is 3.
Lets's calculate GCF of 2607,1161
| 3 | 2607, 1161 |
| 869, 387 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2607,1161 By Matching Biggest Common Factor Method
Now, list down the factors of 2607
:1,3,11,33,79,237,869,2607
Now, list down the factors of 1161
:1,3,9,27,43,129,387,1161
Greatest Common Factor
We found the factors 2607,1161 . The biggest common factor number is the GCF number.
So the greatest common factor 2607,1161 is 3.
Lets's calculate LCM of 988,3194
| 2 | 988, 3194 |
| 494, 1597 |
∴ So the LCM of the given numbers is 2 x 494 x 1597 = 1577836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1577836
Therefore, the GCF of Fractions 2607/988,1161/3194 is 3/1577836
Least Common Multiple of 988,3194 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 988,3194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,3194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(988,3194) x common factors =2 x 1 = 2
LCM(988,3194) = ( 988 × 3194 ) / 2
LCM(988,3194) = 3155672 / 2
LCM(988,3194) = 1577836
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FAQs on GCF of Fractions of 2607/988, 1161/3194
1. What is the HCF of 2607,1161?
The HCF of 2607,1161 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 2607/988, 1161/3194?
Answer: GCF of Numerators as per given numbers 2607/988, 1161/3194 is
GCF of Numerators i.e. for 2607,1161 is 3
LCM of denominators i.e. for 988,3194 is 1577836.
Thus, GCF of Fractions is 3/1577836.Finally, GCF of Fractions for 2607/988, 1161/3194 is 3/1577836.