GCF of 795/70, 120/2305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 795/70, 120/2305 i.e 15/32270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 795/70, 120/2305.
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 795/70,120/2305?
Given fractions are 795/70,120/2305
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 795/70,120/2305, numerators are 795,120
Denominators are 70,2305
The GCF of 795,120 is 15 .
LCM of 70,2305 is 32270.
The greatest common factor of 795/70,120/2305 = [GCF of 795,120]/[LCM of 70,2305]= 15/32270
Therefore, the GCF of 795/70,120/2305 is 15/32270.
To find the highest common factor of 795,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 795,120 is 15.
Lets's calculate GCF of 795,120
| 3 | 795, 120 |
| 5 | 265, 40 |
| 53, 8 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 795,120 By Matching Biggest Common Factor Method
Now, list down the factors of 795
:1,3,5,15,53,159,265,795
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 795,120 . The biggest common factor number is the GCF number.
So the greatest common factor 795,120 is 15.
Lets's calculate LCM of 70,2305
| 5 | 70, 2305 |
| 14, 461 |
∴ So the LCM of the given numbers is 5 x 14 x 461 = 32270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/32270
Therefore, the GCF of Fractions 795/70,120/2305 is 15/32270
Least Common Multiple of 70,2305 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 70,2305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,2305) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(70,2305) x common factors =5 x 1 = 5
LCM(70,2305) = ( 70 × 2305 ) / 5
LCM(70,2305) = 161350 / 5
LCM(70,2305) = 32270
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FAQs on GCF of Fractions of 795/70, 120/2305
1. What is the HCF of 795,120?
The HCF of 795,120 is 15
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 795/70, 120/2305?
Answer: GCF of Numerators as per given numbers 795/70, 120/2305 is
GCF of Numerators i.e. for 795,120 is 15
LCM of denominators i.e. for 70,2305 is 32270.
Thus, GCF of Fractions is 15/32270.Finally, GCF of Fractions for 795/70, 120/2305 is 15/32270.