GCF of 2512/844, 1911/3962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2512/844, 1911/3962 i.e 1/1671964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2512/844, 1911/3962.
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 2512/844,1911/3962?
Given fractions are 2512/844,1911/3962
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 2512/844,1911/3962, numerators are 2512,1911
Denominators are 844,3962
The GCF of 2512,1911 is 1 .
LCM of 844,3962 is 1671964.
The greatest common factor of 2512/844,1911/3962 = [GCF of 2512,1911]/[LCM of 844,3962]= 1/1671964
Therefore, the GCF of 2512/844,1911/3962 is 1/1671964.
To find the highest common factor of 2512,1911, we have to find the factors of both numbers and list the highest common factor.
The factors of 2512 are 1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512
The factors of 1911 are 1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 637, 1911
The HCF of 2512,1911 is 1.
Lets's calculate GCF of 2512,1911
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2512,1911 By Matching Biggest Common Factor Method
Now, list down the factors of 2512
:1,2,4,8,16,157,314,628,1256,2512
Now, list down the factors of 1911
:1,3,7,13,21,39,49,91,147,273,637,1911
Greatest Common Factor
We found the factors 2512,1911 . The biggest common factor number is the GCF number.
So the greatest common factor 2512,1911 is 1.
Lets's calculate LCM of 844,3962
| 2 | 844, 3962 |
| 422, 1981 |
∴ So the LCM of the given numbers is 2 x 422 x 1981 = 1671964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1671964
Therefore, the GCF of Fractions 2512/844,1911/3962 is 1/1671964
Least Common Multiple of 844,3962 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 844,3962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,3962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(844,3962) x common factors =2 x 1 = 2
LCM(844,3962) = ( 844 × 3962 ) / 2
LCM(844,3962) = 3343928 / 2
LCM(844,3962) = 1671964
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FAQs on GCF of Fractions of 2512/844, 1911/3962
1. What is the HCF of 2512,1911?
The HCF of 2512,1911 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 2512/844, 1911/3962?
Answer: GCF of Numerators as per given numbers 2512/844, 1911/3962 is
GCF of Numerators i.e. for 2512,1911 is 1
LCM of denominators i.e. for 844,3962 is 1671964.
Thus, GCF of Fractions is 1/1671964.Finally, GCF of Fractions for 2512/844, 1911/3962 is 1/1671964.