GCF of 4805/120, 2511/6170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4805/120, 2511/6170 i.e 31/74040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4805/120, 2511/6170.
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 4805/120,2511/6170?
Given fractions are 4805/120,2511/6170
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 4805/120,2511/6170, numerators are 4805,2511
Denominators are 120,6170
The GCF of 4805,2511 is 31 .
LCM of 120,6170 is 74040.
The greatest common factor of 4805/120,2511/6170 = [GCF of 4805,2511]/[LCM of 120,6170]= 31/74040
Therefore, the GCF of 4805/120,2511/6170 is 31/74040.
To find the highest common factor of 4805,2511, we have to find the factors of both numbers and list the highest common factor.
The factors of 4805 are 1, 5, 31, 155, 961, 4805
The factors of 2511 are 1, 3, 9, 27, 31, 81, 93, 279, 837, 2511
The HCF of 4805,2511 is 31.
Lets's calculate GCF of 4805,2511
| 31 | 4805, 2511 |
| 155, 81 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 4805,2511 By Matching Biggest Common Factor Method
Now, list down the factors of 4805
:1,5,31,155,961,4805
Now, list down the factors of 2511
:1,3,9,27,31,81,93,279,837,2511
Greatest Common Factor
We found the factors 4805,2511 . The biggest common factor number is the GCF number.
So the greatest common factor 4805,2511 is 31.
Lets's calculate LCM of 120,6170
| 2 | 120, 6170 |
| 5 | 60, 3085 |
| 12, 617 |
∴ So the LCM of the given numbers is 2 x 5 x 12 x 617 = 74040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/74040
Therefore, the GCF of Fractions 4805/120,2511/6170 is 31/74040
Least Common Multiple of 120,6170 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 120,6170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,6170) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(120,6170) x common factors =10 x 1 = 10
LCM(120,6170) = ( 120 × 6170 ) / 10
LCM(120,6170) = 740400 / 10
LCM(120,6170) = 74040
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FAQs on GCF of Fractions of 4805/120, 2511/6170
1. What is the HCF of 4805,2511?
The HCF of 4805,2511 is 31
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 4805/120, 2511/6170?
Answer: GCF of Numerators as per given numbers 4805/120, 2511/6170 is
GCF of Numerators i.e. for 4805,2511 is 31
LCM of denominators i.e. for 120,6170 is 74040.
Thus, GCF of Fractions is 31/74040.Finally, GCF of Fractions for 4805/120, 2511/6170 is 31/74040.