GCF of 8558/802, 2805/2554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8558/802, 2805/2554 i.e 11/1024154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8558/802, 2805/2554.
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 8558/802,2805/2554?
Given fractions are 8558/802,2805/2554
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 8558/802,2805/2554, numerators are 8558,2805
Denominators are 802,2554
The GCF of 8558,2805 is 11 .
LCM of 802,2554 is 1024154.
The greatest common factor of 8558/802,2805/2554 = [GCF of 8558,2805]/[LCM of 802,2554]= 11/1024154
Therefore, the GCF of 8558/802,2805/2554 is 11/1024154.
To find the highest common factor of 8558,2805, we have to find the factors of both numbers and list the highest common factor.
The factors of 8558 are 1, 2, 11, 22, 389, 778, 4279, 8558
The factors of 2805 are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805
The HCF of 8558,2805 is 11.
Lets's calculate GCF of 8558,2805
| 11 | 8558, 2805 |
| 778, 255 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8558,2805 By Matching Biggest Common Factor Method
Now, list down the factors of 8558
:1,2,11,22,389,778,4279,8558
Now, list down the factors of 2805
:1,3,5,11,15,17,33,51,55,85,165,187,255,561,935,2805
Greatest Common Factor
We found the factors 8558,2805 . The biggest common factor number is the GCF number.
So the greatest common factor 8558,2805 is 11.
Lets's calculate LCM of 802,2554
| 2 | 802, 2554 |
| 401, 1277 |
∴ So the LCM of the given numbers is 2 x 401 x 1277 = 1024154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1024154
Therefore, the GCF of Fractions 8558/802,2805/2554 is 11/1024154
Least Common Multiple of 802,2554 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 802,2554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,2554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,2554) x common factors =2 x 1 = 2
LCM(802,2554) = ( 802 × 2554 ) / 2
LCM(802,2554) = 2048308 / 2
LCM(802,2554) = 1024154
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FAQs on GCF of Fractions of 8558/802, 2805/2554
1. What is the HCF of 8558,2805?
The HCF of 8558,2805 is 11
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 8558/802, 2805/2554?
Answer: GCF of Numerators as per given numbers 8558/802, 2805/2554 is
GCF of Numerators i.e. for 8558,2805 is 11
LCM of denominators i.e. for 802,2554 is 1024154.
Thus, GCF of Fractions is 11/1024154.Finally, GCF of Fractions for 8558/802, 2805/2554 is 11/1024154.