GCF of 3110/960, 7500/4724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3110/960, 7500/4724 i.e 10/1133760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3110/960, 7500/4724.
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 3110/960,7500/4724?
Given fractions are 3110/960,7500/4724
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 3110/960,7500/4724, numerators are 3110,7500
Denominators are 960,4724
The GCF of 3110,7500 is 10 .
LCM of 960,4724 is 1133760.
The greatest common factor of 3110/960,7500/4724 = [GCF of 3110,7500]/[LCM of 960,4724]= 10/1133760
Therefore, the GCF of 3110/960,7500/4724 is 10/1133760.
To find the highest common factor of 3110,7500, we have to find the factors of both numbers and list the highest common factor.
The factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110
The factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500
The HCF of 3110,7500 is 10.
Lets's calculate GCF of 3110,7500
| 2 | 3110, 7500 |
| 5 | 1555, 3750 |
| 311, 750 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3110,7500 By Matching Biggest Common Factor Method
Now, list down the factors of 3110
:1,2,5,10,311,622,1555,3110
Now, list down the factors of 7500
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,625,750,1250,1500,1875,2500,3750,7500
Greatest Common Factor
We found the factors 3110,7500 . The biggest common factor number is the GCF number.
So the greatest common factor 3110,7500 is 10.
Lets's calculate LCM of 960,4724
| 2 | 960, 4724 |
| 2 | 480, 2362 |
| 240, 1181 |
∴ So the LCM of the given numbers is 2 x 2 x 240 x 1181 = 1133760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1133760
Therefore, the GCF of Fractions 3110/960,7500/4724 is 10/1133760
Least Common Multiple of 960,4724 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 960,4724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,4724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(960,4724) x common factors =4 x 1 = 4
LCM(960,4724) = ( 960 × 4724 ) / 4
LCM(960,4724) = 4535040 / 4
LCM(960,4724) = 1133760
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FAQs on GCF of Fractions of 3110/960, 7500/4724
1. What is the HCF of 3110,7500?
The HCF of 3110,7500 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 3110/960, 7500/4724?
Answer: GCF of Numerators as per given numbers 3110/960, 7500/4724 is
GCF of Numerators i.e. for 3110,7500 is 10
LCM of denominators i.e. for 960,4724 is 1133760.
Thus, GCF of Fractions is 10/1133760.Finally, GCF of Fractions for 3110/960, 7500/4724 is 10/1133760.