GCF of 8135/907, 1627/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8135/907, 1627/488 i.e 1627/442616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8135/907, 1627/488.
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 8135/907,1627/488?
Given fractions are 8135/907,1627/488
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 8135/907,1627/488, numerators are 8135,1627
Denominators are 907,488
The GCF of 8135,1627 is 1627 .
LCM of 907,488 is 442616.
The greatest common factor of 8135/907,1627/488 = [GCF of 8135,1627]/[LCM of 907,488]= 1627/442616
Therefore, the GCF of 8135/907,1627/488 is 1627/442616.
To find the highest common factor of 8135,1627, we have to find the factors of both numbers and list the highest common factor.
The factors of 8135 are 1, 5, 1627, 8135
The factors of 1627 are 1, 1627
The HCF of 8135,1627 is 1627.
Lets's calculate GCF of 8135,1627
| 1627 | 8135, 1627 |
| 5, 1 |
∴ So the GCF of the given numbers is 1627 = 1627
Greatest Common Factor of 8135,1627 By Matching Biggest Common Factor Method
Now, list down the factors of 8135
:1,5,1627,8135
Now, list down the factors of 1627
:1,1627
Greatest Common Factor
We found the factors 8135,1627 . The biggest common factor number is the GCF number.
So the greatest common factor 8135,1627 is 1627.
Lets's calculate LCM of 907,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 442616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1627/442616
Therefore, the GCF of Fractions 8135/907,1627/488 is 1627/442616
Least Common Multiple of 907,488 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 907,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,488) x common factors =1 x 1 = 1
LCM(907,488) = ( 907 × 488 ) / 1
LCM(907,488) = 442616 / 1
LCM(907,488) = 442616
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FAQs on GCF of Fractions of 8135/907, 1627/488
1. What is the HCF of 8135,1627?
The HCF of 8135,1627 is 1627
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 8135/907, 1627/488?
Answer: GCF of Numerators as per given numbers 8135/907, 1627/488 is
GCF of Numerators i.e. for 8135,1627 is 1627
LCM of denominators i.e. for 907,488 is 442616.
Thus, GCF of Fractions is 1627/442616.Finally, GCF of Fractions for 8135/907, 1627/488 is 1627/442616.