GCF of 8045/418, 7876/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8045/418, 7876/448 i.e 1/93632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8045/418, 7876/448.
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 8045/418,7876/448?
Given fractions are 8045/418,7876/448
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 8045/418,7876/448, numerators are 8045,7876
Denominators are 418,448
The GCF of 8045,7876 is 1 .
LCM of 418,448 is 93632.
The greatest common factor of 8045/418,7876/448 = [GCF of 8045,7876]/[LCM of 418,448]= 1/93632
Therefore, the GCF of 8045/418,7876/448 is 1/93632.
To find the highest common factor of 8045,7876, we have to find the factors of both numbers and list the highest common factor.
The factors of 8045 are 1, 5, 1609, 8045
The factors of 7876 are 1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938, 7876
The HCF of 8045,7876 is 1.
Lets's calculate GCF of 8045,7876
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8045,7876 By Matching Biggest Common Factor Method
Now, list down the factors of 8045
:1,5,1609,8045
Now, list down the factors of 7876
:1,2,4,11,22,44,179,358,716,1969,3938,7876
Greatest Common Factor
We found the factors 8045,7876 . The biggest common factor number is the GCF number.
So the greatest common factor 8045,7876 is 1.
Lets's calculate LCM of 418,448
| 2 | 418, 448 |
| 209, 224 |
∴ So the LCM of the given numbers is 2 x 209 x 224 = 93632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93632
Therefore, the GCF of Fractions 8045/418,7876/448 is 1/93632
Least Common Multiple of 418,448 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 418,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,448) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,448) x common factors =2 x 1 = 2
LCM(418,448) = ( 418 × 448 ) / 2
LCM(418,448) = 187264 / 2
LCM(418,448) = 93632
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FAQs on GCF of Fractions of 8045/418, 7876/448
1. What is the HCF of 8045,7876?
The HCF of 8045,7876 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 8045/418, 7876/448?
Answer: GCF of Numerators as per given numbers 8045/418, 7876/448 is
GCF of Numerators i.e. for 8045,7876 is 1
LCM of denominators i.e. for 418,448 is 93632.
Thus, GCF of Fractions is 1/93632.Finally, GCF of Fractions for 8045/418, 7876/448 is 1/93632.