GCF of 2885/686, 8881/7010
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2885/686, 8881/7010 i.e 1/2404430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2885/686, 8881/7010.
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 2885/686,8881/7010?
Given fractions are 2885/686,8881/7010
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 2885/686,8881/7010, numerators are 2885,8881
Denominators are 686,7010
The GCF of 2885,8881 is 1 .
LCM of 686,7010 is 2404430.
The greatest common factor of 2885/686,8881/7010 = [GCF of 2885,8881]/[LCM of 686,7010]= 1/2404430
Therefore, the GCF of 2885/686,8881/7010 is 1/2404430.
To find the highest common factor of 2885,8881, we have to find the factors of both numbers and list the highest common factor.
The factors of 2885 are 1, 5, 577, 2885
The factors of 8881 are 1, 83, 107, 8881
The HCF of 2885,8881 is 1.
Lets's calculate GCF of 2885,8881
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2885,8881 By Matching Biggest Common Factor Method
Now, list down the factors of 2885
:1,5,577,2885
Now, list down the factors of 8881
:1,83,107,8881
Greatest Common Factor
We found the factors 2885,8881 . The biggest common factor number is the GCF number.
So the greatest common factor 2885,8881 is 1.
Lets's calculate LCM of 686,7010
| 2 | 686, 7010 |
| 343, 3505 |
∴ So the LCM of the given numbers is 2 x 343 x 3505 = 2404430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2404430
Therefore, the GCF of Fractions 2885/686,8881/7010 is 1/2404430
Least Common Multiple of 686,7010 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 686,7010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,7010) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,7010) x common factors =2 x 1 = 2
LCM(686,7010) = ( 686 × 7010 ) / 2
LCM(686,7010) = 4808860 / 2
LCM(686,7010) = 2404430
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FAQs on GCF of Fractions of 2885/686, 8881/7010
1. What is the HCF of 2885,8881?
The HCF of 2885,8881 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 2885/686, 8881/7010?
Answer: GCF of Numerators as per given numbers 2885/686, 8881/7010 is
GCF of Numerators i.e. for 2885,8881 is 1
LCM of denominators i.e. for 686,7010 is 2404430.
Thus, GCF of Fractions is 1/2404430.Finally, GCF of Fractions for 2885/686, 8881/7010 is 1/2404430.