GCF of 1831/756, 1974/7571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1831/756, 1974/7571 i.e 1/5723676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1831/756, 1974/7571.
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 1831/756,1974/7571?
Given fractions are 1831/756,1974/7571
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 1831/756,1974/7571, numerators are 1831,1974
Denominators are 756,7571
The GCF of 1831,1974 is 1 .
LCM of 756,7571 is 5723676.
The greatest common factor of 1831/756,1974/7571 = [GCF of 1831,1974]/[LCM of 756,7571]= 1/5723676
Therefore, the GCF of 1831/756,1974/7571 is 1/5723676.
To find the highest common factor of 1831,1974, we have to find the factors of both numbers and list the highest common factor.
The factors of 1831 are 1, 1831
The factors of 1974 are 1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974
The HCF of 1831,1974 is 1.
Lets's calculate GCF of 1831,1974
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1831,1974 By Matching Biggest Common Factor Method
Now, list down the factors of 1831
:1,1831
Now, list down the factors of 1974
:1,2,3,6,7,14,21,42,47,94,141,282,329,658,987,1974
Greatest Common Factor
We found the factors 1831,1974 . The biggest common factor number is the GCF number.
So the greatest common factor 1831,1974 is 1.
Lets's calculate LCM of 756,7571
Given numbers has no common factors except 1. So, there LCM is their product i.e 5723676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5723676
Therefore, the GCF of Fractions 1831/756,1974/7571 is 1/5723676
Least Common Multiple of 756,7571 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 756,7571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,7571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(756,7571) x common factors =1 x 1 = 1
LCM(756,7571) = ( 756 × 7571 ) / 1
LCM(756,7571) = 5723676 / 1
LCM(756,7571) = 5723676
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FAQs on GCF of Fractions of 1831/756, 1974/7571
1. What is the HCF of 1831,1974?
The HCF of 1831,1974 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 1831/756, 1974/7571?
Answer: GCF of Numerators as per given numbers 1831/756, 1974/7571 is
GCF of Numerators i.e. for 1831,1974 is 1
LCM of denominators i.e. for 756,7571 is 5723676.
Thus, GCF of Fractions is 1/5723676.Finally, GCF of Fractions for 1831/756, 1974/7571 is 1/5723676.