GCF of 705/29, 865/1235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 705/29, 865/1235 i.e 5/35815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 705/29, 865/1235.
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 705/29,865/1235?
Given fractions are 705/29,865/1235
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 705/29,865/1235, numerators are 705,865
Denominators are 29,1235
The GCF of 705,865 is 5 .
LCM of 29,1235 is 35815.
The greatest common factor of 705/29,865/1235 = [GCF of 705,865]/[LCM of 29,1235]= 5/35815
Therefore, the GCF of 705/29,865/1235 is 5/35815.
To find the highest common factor of 705,865, we have to find the factors of both numbers and list the highest common factor.
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The factors of 865 are 1, 5, 173, 865
The HCF of 705,865 is 5.
Lets's calculate GCF of 705,865
| 5 | 705, 865 |
| 141, 173 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 705,865 By Matching Biggest Common Factor Method
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Now, list down the factors of 865
:1,5,173,865
Greatest Common Factor
We found the factors 705,865 . The biggest common factor number is the GCF number.
So the greatest common factor 705,865 is 5.
Lets's calculate LCM of 29,1235
Given numbers has no common factors except 1. So, there LCM is their product i.e 35815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/35815
Therefore, the GCF of Fractions 705/29,865/1235 is 5/35815
Least Common Multiple of 29,1235 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 29,1235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,1235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,1235) x common factors =1 x 1 = 1
LCM(29,1235) = ( 29 × 1235 ) / 1
LCM(29,1235) = 35815 / 1
LCM(29,1235) = 35815
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FAQs on GCF of Fractions of 705/29, 865/1235
1. What is the HCF of 705,865?
The HCF of 705,865 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 705/29, 865/1235?
Answer: GCF of Numerators as per given numbers 705/29, 865/1235 is
GCF of Numerators i.e. for 705,865 is 5
LCM of denominators i.e. for 29,1235 is 35815.
Thus, GCF of Fractions is 5/35815.Finally, GCF of Fractions for 705/29, 865/1235 is 5/35815.