GCF of 4876/310, 7272/263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4876/310, 7272/263 i.e 4/81530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4876/310, 7272/263.
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 4876/310,7272/263?
Given fractions are 4876/310,7272/263
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 4876/310,7272/263, numerators are 4876,7272
Denominators are 310,263
The GCF of 4876,7272 is 4 .
LCM of 310,263 is 81530.
The greatest common factor of 4876/310,7272/263 = [GCF of 4876,7272]/[LCM of 310,263]= 4/81530
Therefore, the GCF of 4876/310,7272/263 is 4/81530.
To find the highest common factor of 4876,7272, we have to find the factors of both numbers and list the highest common factor.
The factors of 4876 are 1, 2, 4, 23, 46, 53, 92, 106, 212, 1219, 2438, 4876
The factors of 7272 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272
The HCF of 4876,7272 is 4.
Lets's calculate GCF of 4876,7272
| 2 | 4876, 7272 |
| 2 | 2438, 3636 |
| 1219, 1818 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4876,7272 By Matching Biggest Common Factor Method
Now, list down the factors of 4876
:1,2,4,23,46,53,92,106,212,1219,2438,4876
Now, list down the factors of 7272
:1,2,3,4,6,8,9,12,18,24,36,72,101,202,303,404,606,808,909,1212,1818,2424,3636,7272
Greatest Common Factor
We found the factors 4876,7272 . The biggest common factor number is the GCF number.
So the greatest common factor 4876,7272 is 4.
Lets's calculate LCM of 310,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 81530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/81530
Therefore, the GCF of Fractions 4876/310,7272/263 is 4/81530
Least Common Multiple of 310,263 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 310,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(310,263) x common factors =1 x 1 = 1
LCM(310,263) = ( 310 × 263 ) / 1
LCM(310,263) = 81530 / 1
LCM(310,263) = 81530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4876/310, 7272/263
1. What is the HCF of 4876,7272?
The HCF of 4876,7272 is 4
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 4876/310, 7272/263?
Answer: GCF of Numerators as per given numbers 4876/310, 7272/263 is
GCF of Numerators i.e. for 4876,7272 is 4
LCM of denominators i.e. for 310,263 is 81530.
Thus, GCF of Fractions is 4/81530.Finally, GCF of Fractions for 4876/310, 7272/263 is 4/81530.