GCF of 2435/705, 8065/2976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2435/705, 8065/2976 i.e 5/699360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2435/705, 8065/2976.
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 2435/705,8065/2976?
Given fractions are 2435/705,8065/2976
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 2435/705,8065/2976, numerators are 2435,8065
Denominators are 705,2976
The GCF of 2435,8065 is 5 .
LCM of 705,2976 is 699360.
The greatest common factor of 2435/705,8065/2976 = [GCF of 2435,8065]/[LCM of 705,2976]= 5/699360
Therefore, the GCF of 2435/705,8065/2976 is 5/699360.
To find the highest common factor of 2435,8065, we have to find the factors of both numbers and list the highest common factor.
The factors of 2435 are 1, 5, 487, 2435
The factors of 8065 are 1, 5, 1613, 8065
The HCF of 2435,8065 is 5.
Lets's calculate GCF of 2435,8065
| 5 | 2435, 8065 |
| 487, 1613 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2435,8065 By Matching Biggest Common Factor Method
Now, list down the factors of 2435
:1,5,487,2435
Now, list down the factors of 8065
:1,5,1613,8065
Greatest Common Factor
We found the factors 2435,8065 . The biggest common factor number is the GCF number.
So the greatest common factor 2435,8065 is 5.
Lets's calculate LCM of 705,2976
| 3 | 705, 2976 |
| 235, 992 |
∴ So the LCM of the given numbers is 3 x 235 x 992 = 699360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/699360
Therefore, the GCF of Fractions 2435/705,8065/2976 is 5/699360
Least Common Multiple of 705,2976 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 705,2976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,2976) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(705,2976) x common factors =3 x 1 = 3
LCM(705,2976) = ( 705 × 2976 ) / 3
LCM(705,2976) = 2098080 / 3
LCM(705,2976) = 699360
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FAQs on GCF of Fractions of 2435/705, 8065/2976
1. What is the HCF of 2435,8065?
The HCF of 2435,8065 is 5
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 2435/705, 8065/2976?
Answer: GCF of Numerators as per given numbers 2435/705, 8065/2976 is
GCF of Numerators i.e. for 2435,8065 is 5
LCM of denominators i.e. for 705,2976 is 699360.
Thus, GCF of Fractions is 5/699360.Finally, GCF of Fractions for 2435/705, 8065/2976 is 5/699360.