GCF of 2689/304, 7583/3874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2689/304, 7583/3874 i.e 1/588848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2689/304, 7583/3874.
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 2689/304,7583/3874?
Given fractions are 2689/304,7583/3874
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 2689/304,7583/3874, numerators are 2689,7583
Denominators are 304,3874
The GCF of 2689,7583 is 1 .
LCM of 304,3874 is 588848.
The greatest common factor of 2689/304,7583/3874 = [GCF of 2689,7583]/[LCM of 304,3874]= 1/588848
Therefore, the GCF of 2689/304,7583/3874 is 1/588848.
To find the highest common factor of 2689,7583, we have to find the factors of both numbers and list the highest common factor.
The factors of 2689 are 1, 2689
The factors of 7583 are 1, 7583
The HCF of 2689,7583 is 1.
Lets's calculate GCF of 2689,7583
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2689,7583 By Matching Biggest Common Factor Method
Now, list down the factors of 2689
:1,2689
Now, list down the factors of 7583
:1,7583
Greatest Common Factor
We found the factors 2689,7583 . The biggest common factor number is the GCF number.
So the greatest common factor 2689,7583 is 1.
Lets's calculate LCM of 304,3874
| 2 | 304, 3874 |
| 152, 1937 |
∴ So the LCM of the given numbers is 2 x 152 x 1937 = 588848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/588848
Therefore, the GCF of Fractions 2689/304,7583/3874 is 1/588848
Least Common Multiple of 304,3874 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 304,3874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,3874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(304,3874) x common factors =2 x 1 = 2
LCM(304,3874) = ( 304 × 3874 ) / 2
LCM(304,3874) = 1177696 / 2
LCM(304,3874) = 588848
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FAQs on GCF of Fractions of 2689/304, 7583/3874
1. What is the HCF of 2689,7583?
The HCF of 2689,7583 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 2689/304, 7583/3874?
Answer: GCF of Numerators as per given numbers 2689/304, 7583/3874 is
GCF of Numerators i.e. for 2689,7583 is 1
LCM of denominators i.e. for 304,3874 is 588848.
Thus, GCF of Fractions is 1/588848.Finally, GCF of Fractions for 2689/304, 7583/3874 is 1/588848.