GCF of 3313/375, 3120/4752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3313/375, 3120/4752 i.e 1/594000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3313/375, 3120/4752.
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 3313/375,3120/4752?
Given fractions are 3313/375,3120/4752
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 3313/375,3120/4752, numerators are 3313,3120
Denominators are 375,4752
The GCF of 3313,3120 is 1 .
LCM of 375,4752 is 594000.
The greatest common factor of 3313/375,3120/4752 = [GCF of 3313,3120]/[LCM of 375,4752]= 1/594000
Therefore, the GCF of 3313/375,3120/4752 is 1/594000.
To find the highest common factor of 3313,3120, we have to find the factors of both numbers and list the highest common factor.
The factors of 3313 are 1, 3313
The factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120
The HCF of 3313,3120 is 1.
Lets's calculate GCF of 3313,3120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3313,3120 By Matching Biggest Common Factor Method
Now, list down the factors of 3313
:1,3313
Now, list down the factors of 3120
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120
Greatest Common Factor
We found the factors 3313,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 3313,3120 is 1.
Lets's calculate LCM of 375,4752
| 3 | 375, 4752 |
| 125, 1584 |
∴ So the LCM of the given numbers is 3 x 125 x 1584 = 594000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594000
Therefore, the GCF of Fractions 3313/375,3120/4752 is 1/594000
Least Common Multiple of 375,4752 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 375,4752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,4752) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(375,4752) x common factors =3 x 1 = 3
LCM(375,4752) = ( 375 × 4752 ) / 3
LCM(375,4752) = 1782000 / 3
LCM(375,4752) = 594000
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FAQs on GCF of Fractions of 3313/375, 3120/4752
1. What is the HCF of 3313,3120?
The HCF of 3313,3120 is 1
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 3313/375, 3120/4752?
Answer: GCF of Numerators as per given numbers 3313/375, 3120/4752 is
GCF of Numerators i.e. for 3313,3120 is 1
LCM of denominators i.e. for 375,4752 is 594000.
Thus, GCF of Fractions is 1/594000.Finally, GCF of Fractions for 3313/375, 3120/4752 is 1/594000.