GCF of 2699/973, 5955/924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2699/973, 5955/924 i.e 1/128436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2699/973, 5955/924.
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 2699/973,5955/924?
Given fractions are 2699/973,5955/924
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 2699/973,5955/924, numerators are 2699,5955
Denominators are 973,924
The GCF of 2699,5955 is 1 .
LCM of 973,924 is 128436.
The greatest common factor of 2699/973,5955/924 = [GCF of 2699,5955]/[LCM of 973,924]= 1/128436
Therefore, the GCF of 2699/973,5955/924 is 1/128436.
To find the highest common factor of 2699,5955, we have to find the factors of both numbers and list the highest common factor.
The factors of 2699 are 1, 2699
The factors of 5955 are 1, 3, 5, 15, 397, 1191, 1985, 5955
The HCF of 2699,5955 is 1.
Lets's calculate GCF of 2699,5955
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2699,5955 By Matching Biggest Common Factor Method
Now, list down the factors of 2699
:1,2699
Now, list down the factors of 5955
:1,3,5,15,397,1191,1985,5955
Greatest Common Factor
We found the factors 2699,5955 . The biggest common factor number is the GCF number.
So the greatest common factor 2699,5955 is 1.
Lets's calculate LCM of 973,924
| 7 | 973, 924 |
| 139, 132 |
∴ So the LCM of the given numbers is 7 x 139 x 132 = 128436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128436
Therefore, the GCF of Fractions 2699/973,5955/924 is 1/128436
Least Common Multiple of 973,924 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 973,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,924) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(973,924) x common factors =7 x 1 = 7
LCM(973,924) = ( 973 × 924 ) / 7
LCM(973,924) = 899052 / 7
LCM(973,924) = 128436
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FAQs on GCF of Fractions of 2699/973, 5955/924
1. What is the HCF of 2699,5955?
The HCF of 2699,5955 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 2699/973, 5955/924?
Answer: GCF of Numerators as per given numbers 2699/973, 5955/924 is
GCF of Numerators i.e. for 2699,5955 is 1
LCM of denominators i.e. for 973,924 is 128436.
Thus, GCF of Fractions is 1/128436.Finally, GCF of Fractions for 2699/973, 5955/924 is 1/128436.