GCF of 7195/886, 7908/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7195/886, 7908/512 i.e 1/226816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7195/886, 7908/512.
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 7195/886,7908/512?
Given fractions are 7195/886,7908/512
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 7195/886,7908/512, numerators are 7195,7908
Denominators are 886,512
The GCF of 7195,7908 is 1 .
LCM of 886,512 is 226816.
The greatest common factor of 7195/886,7908/512 = [GCF of 7195,7908]/[LCM of 886,512]= 1/226816
Therefore, the GCF of 7195/886,7908/512 is 1/226816.
To find the highest common factor of 7195,7908, we have to find the factors of both numbers and list the highest common factor.
The factors of 7195 are 1, 5, 1439, 7195
The factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908
The HCF of 7195,7908 is 1.
Lets's calculate GCF of 7195,7908
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7195,7908 By Matching Biggest Common Factor Method
Now, list down the factors of 7195
:1,5,1439,7195
Now, list down the factors of 7908
:1,2,3,4,6,12,659,1318,1977,2636,3954,7908
Greatest Common Factor
We found the factors 7195,7908 . The biggest common factor number is the GCF number.
So the greatest common factor 7195,7908 is 1.
Lets's calculate LCM of 886,512
| 2 | 886, 512 |
| 443, 256 |
∴ So the LCM of the given numbers is 2 x 443 x 256 = 226816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226816
Therefore, the GCF of Fractions 7195/886,7908/512 is 1/226816
Least Common Multiple of 886,512 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 886,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,512) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,512) x common factors =2 x 1 = 2
LCM(886,512) = ( 886 × 512 ) / 2
LCM(886,512) = 453632 / 2
LCM(886,512) = 226816
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FAQs on GCF of Fractions of 7195/886, 7908/512
1. What is the HCF of 7195,7908?
The HCF of 7195,7908 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 7195/886, 7908/512?
Answer: GCF of Numerators as per given numbers 7195/886, 7908/512 is
GCF of Numerators i.e. for 7195,7908 is 1
LCM of denominators i.e. for 886,512 is 226816.
Thus, GCF of Fractions is 1/226816.Finally, GCF of Fractions for 7195/886, 7908/512 is 1/226816.