GCF of 8037/896, 8007/1635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8037/896, 8007/1635 i.e 3/1464960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8037/896, 8007/1635.
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 8037/896,8007/1635?
Given fractions are 8037/896,8007/1635
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 8037/896,8007/1635, numerators are 8037,8007
Denominators are 896,1635
The GCF of 8037,8007 is 3 .
LCM of 896,1635 is 1464960.
The greatest common factor of 8037/896,8007/1635 = [GCF of 8037,8007]/[LCM of 896,1635]= 3/1464960
Therefore, the GCF of 8037/896,8007/1635 is 3/1464960.
To find the highest common factor of 8037,8007, we have to find the factors of both numbers and list the highest common factor.
The factors of 8037 are 1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679, 8037
The factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007
The HCF of 8037,8007 is 3.
Lets's calculate GCF of 8037,8007
| 3 | 8037, 8007 |
| 2679, 2669 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8037,8007 By Matching Biggest Common Factor Method
Now, list down the factors of 8037
:1,3,9,19,47,57,141,171,423,893,2679,8037
Now, list down the factors of 8007
:1,3,17,51,157,471,2669,8007
Greatest Common Factor
We found the factors 8037,8007 . The biggest common factor number is the GCF number.
So the greatest common factor 8037,8007 is 3.
Lets's calculate LCM of 896,1635
Given numbers has no common factors except 1. So, there LCM is their product i.e 1464960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1464960
Therefore, the GCF of Fractions 8037/896,8007/1635 is 3/1464960
Least Common Multiple of 896,1635 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 896,1635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,1635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(896,1635) x common factors =1 x 1 = 1
LCM(896,1635) = ( 896 × 1635 ) / 1
LCM(896,1635) = 1464960 / 1
LCM(896,1635) = 1464960
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FAQs on GCF of Fractions of 8037/896, 8007/1635
1. What is the HCF of 8037,8007?
The HCF of 8037,8007 is 3
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 8037/896, 8007/1635?
Answer: GCF of Numerators as per given numbers 8037/896, 8007/1635 is
GCF of Numerators i.e. for 8037,8007 is 3
LCM of denominators i.e. for 896,1635 is 1464960.
Thus, GCF of Fractions is 3/1464960.Finally, GCF of Fractions for 8037/896, 8007/1635 is 3/1464960.