GCF of 2016/320, 2510/7640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2016/320, 2510/7640 i.e 2/61120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2016/320, 2510/7640.
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 2016/320,2510/7640?
Given fractions are 2016/320,2510/7640
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 2016/320,2510/7640, numerators are 2016,2510
Denominators are 320,7640
The GCF of 2016,2510 is 2 .
LCM of 320,7640 is 61120.
The greatest common factor of 2016/320,2510/7640 = [GCF of 2016,2510]/[LCM of 320,7640]= 2/61120
Therefore, the GCF of 2016/320,2510/7640 is 2/61120.
To find the highest common factor of 2016,2510, we have to find the factors of both numbers and list the highest common factor.
The factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016
The factors of 2510 are 1, 2, 5, 10, 251, 502, 1255, 2510
The HCF of 2016,2510 is 2.
Lets's calculate GCF of 2016,2510
| 2 | 2016, 2510 |
| 1008, 1255 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2016,2510 By Matching Biggest Common Factor Method
Now, list down the factors of 2016
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016
Now, list down the factors of 2510
:1,2,5,10,251,502,1255,2510
Greatest Common Factor
We found the factors 2016,2510 . The biggest common factor number is the GCF number.
So the greatest common factor 2016,2510 is 2.
Lets's calculate LCM of 320,7640
| 2 | 320, 7640 |
| 2 | 160, 3820 |
| 2 | 80, 1910 |
| 5 | 40, 955 |
| 8, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 8 x 191 = 61120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61120
Therefore, the GCF of Fractions 2016/320,2510/7640 is 2/61120
Least Common Multiple of 320,7640 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 320,7640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,7640) = 40
common factors(in case of two or more numbers have common factors) = 1
GCF(320,7640) x common factors =40 x 1 = 40
LCM(320,7640) = ( 320 × 7640 ) / 40
LCM(320,7640) = 2444800 / 40
LCM(320,7640) = 61120
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2016/320, 2510/7640
1. What is the HCF of 2016,2510?
The HCF of 2016,2510 is 2
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 2016/320, 2510/7640?
Answer: GCF of Numerators as per given numbers 2016/320, 2510/7640 is
GCF of Numerators i.e. for 2016,2510 is 2
LCM of denominators i.e. for 320,7640 is 61120.
Thus, GCF of Fractions is 2/61120.Finally, GCF of Fractions for 2016/320, 2510/7640 is 2/61120.