GCF of 2091/706, 6234/4476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2091/706, 6234/4476 i.e 3/1580028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2091/706, 6234/4476.
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 2091/706,6234/4476?
Given fractions are 2091/706,6234/4476
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 2091/706,6234/4476, numerators are 2091,6234
Denominators are 706,4476
The GCF of 2091,6234 is 3 .
LCM of 706,4476 is 1580028.
The greatest common factor of 2091/706,6234/4476 = [GCF of 2091,6234]/[LCM of 706,4476]= 3/1580028
Therefore, the GCF of 2091/706,6234/4476 is 3/1580028.
To find the highest common factor of 2091,6234, we have to find the factors of both numbers and list the highest common factor.
The factors of 2091 are 1, 3, 17, 41, 51, 123, 697, 2091
The factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234
The HCF of 2091,6234 is 3.
Lets's calculate GCF of 2091,6234
| 3 | 2091, 6234 |
| 697, 2078 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2091,6234 By Matching Biggest Common Factor Method
Now, list down the factors of 2091
:1,3,17,41,51,123,697,2091
Now, list down the factors of 6234
:1,2,3,6,1039,2078,3117,6234
Greatest Common Factor
We found the factors 2091,6234 . The biggest common factor number is the GCF number.
So the greatest common factor 2091,6234 is 3.
Lets's calculate LCM of 706,4476
| 2 | 706, 4476 |
| 353, 2238 |
∴ So the LCM of the given numbers is 2 x 353 x 2238 = 1580028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1580028
Therefore, the GCF of Fractions 2091/706,6234/4476 is 3/1580028
Least Common Multiple of 706,4476 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 706,4476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,4476) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,4476) x common factors =2 x 1 = 2
LCM(706,4476) = ( 706 × 4476 ) / 2
LCM(706,4476) = 3160056 / 2
LCM(706,4476) = 1580028
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FAQs on GCF of Fractions of 2091/706, 6234/4476
1. What is the HCF of 2091,6234?
The HCF of 2091,6234 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 2091/706, 6234/4476?
Answer: GCF of Numerators as per given numbers 2091/706, 6234/4476 is
GCF of Numerators i.e. for 2091,6234 is 3
LCM of denominators i.e. for 706,4476 is 1580028.
Thus, GCF of Fractions is 3/1580028.Finally, GCF of Fractions for 2091/706, 6234/4476 is 3/1580028.