GCF of 8822/813, 7464/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8822/813, 7464/256 i.e 2/208128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8822/813, 7464/256.
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 8822/813,7464/256?
Given fractions are 8822/813,7464/256
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 8822/813,7464/256, numerators are 8822,7464
Denominators are 813,256
The GCF of 8822,7464 is 2 .
LCM of 813,256 is 208128.
The greatest common factor of 8822/813,7464/256 = [GCF of 8822,7464]/[LCM of 813,256]= 2/208128
Therefore, the GCF of 8822/813,7464/256 is 2/208128.
To find the highest common factor of 8822,7464, we have to find the factors of both numbers and list the highest common factor.
The factors of 8822 are 1, 2, 11, 22, 401, 802, 4411, 8822
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The HCF of 8822,7464 is 2.
Lets's calculate GCF of 8822,7464
| 2 | 8822, 7464 |
| 4411, 3732 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8822,7464 By Matching Biggest Common Factor Method
Now, list down the factors of 8822
:1,2,11,22,401,802,4411,8822
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Greatest Common Factor
We found the factors 8822,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 8822,7464 is 2.
Lets's calculate LCM of 813,256
Given numbers has no common factors except 1. So, there LCM is their product i.e 208128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208128
Therefore, the GCF of Fractions 8822/813,7464/256 is 2/208128
Least Common Multiple of 813,256 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 813,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,256) x common factors =1 x 1 = 1
LCM(813,256) = ( 813 × 256 ) / 1
LCM(813,256) = 208128 / 1
LCM(813,256) = 208128
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FAQs on GCF of Fractions of 8822/813, 7464/256
1. What is the HCF of 8822,7464?
The HCF of 8822,7464 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 8822/813, 7464/256?
Answer: GCF of Numerators as per given numbers 8822/813, 7464/256 is
GCF of Numerators i.e. for 8822,7464 is 2
LCM of denominators i.e. for 813,256 is 208128.
Thus, GCF of Fractions is 2/208128.Finally, GCF of Fractions for 8822/813, 7464/256 is 2/208128.