GCF of 8090/508, 4288/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8090/508, 4288/385 i.e 2/195580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8090/508, 4288/385.
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 8090/508,4288/385?
Given fractions are 8090/508,4288/385
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 8090/508,4288/385, numerators are 8090,4288
Denominators are 508,385
The GCF of 8090,4288 is 2 .
LCM of 508,385 is 195580.
The greatest common factor of 8090/508,4288/385 = [GCF of 8090,4288]/[LCM of 508,385]= 2/195580
Therefore, the GCF of 8090/508,4288/385 is 2/195580.
To find the highest common factor of 8090,4288, we have to find the factors of both numbers and list the highest common factor.
The factors of 8090 are 1, 2, 5, 10, 809, 1618, 4045, 8090
The factors of 4288 are 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288
The HCF of 8090,4288 is 2.
Lets's calculate GCF of 8090,4288
| 2 | 8090, 4288 |
| 4045, 2144 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8090,4288 By Matching Biggest Common Factor Method
Now, list down the factors of 8090
:1,2,5,10,809,1618,4045,8090
Now, list down the factors of 4288
:1,2,4,8,16,32,64,67,134,268,536,1072,2144,4288
Greatest Common Factor
We found the factors 8090,4288 . The biggest common factor number is the GCF number.
So the greatest common factor 8090,4288 is 2.
Lets's calculate LCM of 508,385
Given numbers has no common factors except 1. So, there LCM is their product i.e 195580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/195580
Therefore, the GCF of Fractions 8090/508,4288/385 is 2/195580
Least Common Multiple of 508,385 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 508,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,385) x common factors =1 x 1 = 1
LCM(508,385) = ( 508 × 385 ) / 1
LCM(508,385) = 195580 / 1
LCM(508,385) = 195580
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FAQs on GCF of Fractions of 8090/508, 4288/385
1. What is the HCF of 8090,4288?
The HCF of 8090,4288 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 8090/508, 4288/385?
Answer: GCF of Numerators as per given numbers 8090/508, 4288/385 is
GCF of Numerators i.e. for 8090,4288 is 2
LCM of denominators i.e. for 508,385 is 195580.
Thus, GCF of Fractions is 2/195580.Finally, GCF of Fractions for 8090/508, 4288/385 is 2/195580.