GCF of 8857/56, 6816/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8857/56, 6816/764 i.e 1/10696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8857/56, 6816/764.
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 8857/56,6816/764?
Given fractions are 8857/56,6816/764
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 8857/56,6816/764, numerators are 8857,6816
Denominators are 56,764
The GCF of 8857,6816 is 1 .
LCM of 56,764 is 10696.
The greatest common factor of 8857/56,6816/764 = [GCF of 8857,6816]/[LCM of 56,764]= 1/10696
Therefore, the GCF of 8857/56,6816/764 is 1/10696.
To find the highest common factor of 8857,6816, we have to find the factors of both numbers and list the highest common factor.
The factors of 8857 are 1, 17, 521, 8857
The factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816
The HCF of 8857,6816 is 1.
Lets's calculate GCF of 8857,6816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8857,6816 By Matching Biggest Common Factor Method
Now, list down the factors of 8857
:1,17,521,8857
Now, list down the factors of 6816
:1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816
Greatest Common Factor
We found the factors 8857,6816 . The biggest common factor number is the GCF number.
So the greatest common factor 8857,6816 is 1.
Lets's calculate LCM of 56,764
| 2 | 56, 764 |
| 2 | 28, 382 |
| 14, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 14 x 191 = 10696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10696
Therefore, the GCF of Fractions 8857/56,6816/764 is 1/10696
Least Common Multiple of 56,764 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 56,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,764) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(56,764) x common factors =4 x 1 = 4
LCM(56,764) = ( 56 × 764 ) / 4
LCM(56,764) = 42784 / 4
LCM(56,764) = 10696
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FAQs on GCF of Fractions of 8857/56, 6816/764
1. What is the HCF of 8857,6816?
The HCF of 8857,6816 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 8857/56, 6816/764?
Answer: GCF of Numerators as per given numbers 8857/56, 6816/764 is
GCF of Numerators i.e. for 8857,6816 is 1
LCM of denominators i.e. for 56,764 is 10696.
Thus, GCF of Fractions is 1/10696.Finally, GCF of Fractions for 8857/56, 6816/764 is 1/10696.