GCF of 9640/711, 6160/2862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9640/711, 6160/2862 i.e 40/226098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9640/711, 6160/2862.
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 9640/711,6160/2862?
Given fractions are 9640/711,6160/2862
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 9640/711,6160/2862, numerators are 9640,6160
Denominators are 711,2862
The GCF of 9640,6160 is 40 .
LCM of 711,2862 is 226098.
The greatest common factor of 9640/711,6160/2862 = [GCF of 9640,6160]/[LCM of 711,2862]= 40/226098
Therefore, the GCF of 9640/711,6160/2862 is 40/226098.
To find the highest common factor of 9640,6160, we have to find the factors of both numbers and list the highest common factor.
The factors of 9640 are 1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640
The factors of 6160 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160
The HCF of 9640,6160 is 40.
Lets's calculate GCF of 9640,6160
| 2 | 9640, 6160 |
| 2 | 4820, 3080 |
| 2 | 2410, 1540 |
| 5 | 1205, 770 |
| 241, 154 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 9640,6160 By Matching Biggest Common Factor Method
Now, list down the factors of 9640
:1,2,4,5,8,10,20,40,241,482,964,1205,1928,2410,4820,9640
Now, list down the factors of 6160
:1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160
Greatest Common Factor
We found the factors 9640,6160 . The biggest common factor number is the GCF number.
So the greatest common factor 9640,6160 is 40.
Lets's calculate LCM of 711,2862
| 3 | 711, 2862 |
| 3 | 237, 954 |
| 79, 318 |
∴ So the LCM of the given numbers is 3 x 3 x 79 x 318 = 226098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/226098
Therefore, the GCF of Fractions 9640/711,6160/2862 is 40/226098
Least Common Multiple of 711,2862 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 711,2862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,2862) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(711,2862) x common factors =9 x 1 = 9
LCM(711,2862) = ( 711 × 2862 ) / 9
LCM(711,2862) = 2034882 / 9
LCM(711,2862) = 226098
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FAQs on GCF of Fractions of 9640/711, 6160/2862
1. What is the HCF of 9640,6160?
The HCF of 9640,6160 is 40
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 9640/711, 6160/2862?
Answer: GCF of Numerators as per given numbers 9640/711, 6160/2862 is
GCF of Numerators i.e. for 9640,6160 is 40
LCM of denominators i.e. for 711,2862 is 226098.
Thus, GCF of Fractions is 40/226098.Finally, GCF of Fractions for 9640/711, 6160/2862 is 40/226098.