GCF of 2838/768, 7642/8626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2838/768, 7642/8626 i.e 2/3312384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2838/768, 7642/8626.
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 2838/768,7642/8626?
Given fractions are 2838/768,7642/8626
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 2838/768,7642/8626, numerators are 2838,7642
Denominators are 768,8626
The GCF of 2838,7642 is 2 .
LCM of 768,8626 is 3312384.
The greatest common factor of 2838/768,7642/8626 = [GCF of 2838,7642]/[LCM of 768,8626]= 2/3312384
Therefore, the GCF of 2838/768,7642/8626 is 2/3312384.
To find the highest common factor of 2838,7642, we have to find the factors of both numbers and list the highest common factor.
The factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838
The factors of 7642 are 1, 2, 3821, 7642
The HCF of 2838,7642 is 2.
Lets's calculate GCF of 2838,7642
| 2 | 2838, 7642 |
| 1419, 3821 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2838,7642 By Matching Biggest Common Factor Method
Now, list down the factors of 2838
:1,2,3,6,11,22,33,43,66,86,129,258,473,946,1419,2838
Now, list down the factors of 7642
:1,2,3821,7642
Greatest Common Factor
We found the factors 2838,7642 . The biggest common factor number is the GCF number.
So the greatest common factor 2838,7642 is 2.
Lets's calculate LCM of 768,8626
| 2 | 768, 8626 |
| 384, 4313 |
∴ So the LCM of the given numbers is 2 x 384 x 4313 = 3312384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3312384
Therefore, the GCF of Fractions 2838/768,7642/8626 is 2/3312384
Least Common Multiple of 768,8626 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 768,8626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,8626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(768,8626) x common factors =2 x 1 = 2
LCM(768,8626) = ( 768 × 8626 ) / 2
LCM(768,8626) = 6624768 / 2
LCM(768,8626) = 3312384
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FAQs on GCF of Fractions of 2838/768, 7642/8626
1. What is the HCF of 2838,7642?
The HCF of 2838,7642 is 2
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 2838/768, 7642/8626?
Answer: GCF of Numerators as per given numbers 2838/768, 7642/8626 is
GCF of Numerators i.e. for 2838,7642 is 2
LCM of denominators i.e. for 768,8626 is 3312384.
Thus, GCF of Fractions is 2/3312384.Finally, GCF of Fractions for 2838/768, 7642/8626 is 2/3312384.