GCF of 2055/688, 2377/8846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2055/688, 2377/8846 i.e 1/3043024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2055/688, 2377/8846.
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 2055/688,2377/8846?
Given fractions are 2055/688,2377/8846
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 2055/688,2377/8846, numerators are 2055,2377
Denominators are 688,8846
The GCF of 2055,2377 is 1 .
LCM of 688,8846 is 3043024.
The greatest common factor of 2055/688,2377/8846 = [GCF of 2055,2377]/[LCM of 688,8846]= 1/3043024
Therefore, the GCF of 2055/688,2377/8846 is 1/3043024.
To find the highest common factor of 2055,2377, we have to find the factors of both numbers and list the highest common factor.
The factors of 2055 are 1, 3, 5, 15, 137, 411, 685, 2055
The factors of 2377 are 1, 2377
The HCF of 2055,2377 is 1.
Lets's calculate GCF of 2055,2377
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2055,2377 By Matching Biggest Common Factor Method
Now, list down the factors of 2055
:1,3,5,15,137,411,685,2055
Now, list down the factors of 2377
:1,2377
Greatest Common Factor
We found the factors 2055,2377 . The biggest common factor number is the GCF number.
So the greatest common factor 2055,2377 is 1.
Lets's calculate LCM of 688,8846
| 2 | 688, 8846 |
| 344, 4423 |
∴ So the LCM of the given numbers is 2 x 344 x 4423 = 3043024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3043024
Therefore, the GCF of Fractions 2055/688,2377/8846 is 1/3043024
Least Common Multiple of 688,8846 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 688,8846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,8846) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,8846) x common factors =2 x 1 = 2
LCM(688,8846) = ( 688 × 8846 ) / 2
LCM(688,8846) = 6086048 / 2
LCM(688,8846) = 3043024
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FAQs on GCF of Fractions of 2055/688, 2377/8846
1. What is the HCF of 2055,2377?
The HCF of 2055,2377 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 2055/688, 2377/8846?
Answer: GCF of Numerators as per given numbers 2055/688, 2377/8846 is
GCF of Numerators i.e. for 2055,2377 is 1
LCM of denominators i.e. for 688,8846 is 3043024.
Thus, GCF of Fractions is 1/3043024.Finally, GCF of Fractions for 2055/688, 2377/8846 is 1/3043024.