GCF of 4310/444, 7260/312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4310/444, 7260/312 i.e 10/11544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4310/444, 7260/312.
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 4310/444,7260/312?
Given fractions are 4310/444,7260/312
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 4310/444,7260/312, numerators are 4310,7260
Denominators are 444,312
The GCF of 4310,7260 is 10 .
LCM of 444,312 is 11544.
The greatest common factor of 4310/444,7260/312 = [GCF of 4310,7260]/[LCM of 444,312]= 10/11544
Therefore, the GCF of 4310/444,7260/312 is 10/11544.
To find the highest common factor of 4310,7260, we have to find the factors of both numbers and list the highest common factor.
The factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310
The factors of 7260 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260
The HCF of 4310,7260 is 10.
Lets's calculate GCF of 4310,7260
| 2 | 4310, 7260 |
| 5 | 2155, 3630 |
| 431, 726 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4310,7260 By Matching Biggest Common Factor Method
Now, list down the factors of 4310
:1,2,5,10,431,862,2155,4310
Now, list down the factors of 7260
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260
Greatest Common Factor
We found the factors 4310,7260 . The biggest common factor number is the GCF number.
So the greatest common factor 4310,7260 is 10.
Lets's calculate LCM of 444,312
| 2 | 444, 312 |
| 2 | 222, 156 |
| 3 | 111, 78 |
| 37, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 26 = 11544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/11544
Therefore, the GCF of Fractions 4310/444,7260/312 is 10/11544
Least Common Multiple of 444,312 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 444,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,312) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(444,312) x common factors =12 x 1 = 12
LCM(444,312) = ( 444 × 312 ) / 12
LCM(444,312) = 138528 / 12
LCM(444,312) = 11544
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FAQs on GCF of Fractions of 4310/444, 7260/312
1. What is the HCF of 4310,7260?
The HCF of 4310,7260 is 10
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 4310/444, 7260/312?
Answer: GCF of Numerators as per given numbers 4310/444, 7260/312 is
GCF of Numerators i.e. for 4310,7260 is 10
LCM of denominators i.e. for 444,312 is 11544.
Thus, GCF of Fractions is 10/11544.Finally, GCF of Fractions for 4310/444, 7260/312 is 10/11544.