GCF of 5710/147, 6960/2286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5710/147, 6960/2286 i.e 10/112014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5710/147, 6960/2286.
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 5710/147,6960/2286?
Given fractions are 5710/147,6960/2286
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 5710/147,6960/2286, numerators are 5710,6960
Denominators are 147,2286
The GCF of 5710,6960 is 10 .
LCM of 147,2286 is 112014.
The greatest common factor of 5710/147,6960/2286 = [GCF of 5710,6960]/[LCM of 147,2286]= 10/112014
Therefore, the GCF of 5710/147,6960/2286 is 10/112014.
To find the highest common factor of 5710,6960, we have to find the factors of both numbers and list the highest common factor.
The factors of 5710 are 1, 2, 5, 10, 571, 1142, 2855, 5710
The factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960
The HCF of 5710,6960 is 10.
Lets's calculate GCF of 5710,6960
| 2 | 5710, 6960 |
| 5 | 2855, 3480 |
| 571, 696 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5710,6960 By Matching Biggest Common Factor Method
Now, list down the factors of 5710
:1,2,5,10,571,1142,2855,5710
Now, list down the factors of 6960
:1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960
Greatest Common Factor
We found the factors 5710,6960 . The biggest common factor number is the GCF number.
So the greatest common factor 5710,6960 is 10.
Lets's calculate LCM of 147,2286
| 3 | 147, 2286 |
| 49, 762 |
∴ So the LCM of the given numbers is 3 x 49 x 762 = 112014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/112014
Therefore, the GCF of Fractions 5710/147,6960/2286 is 10/112014
Least Common Multiple of 147,2286 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 147,2286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,2286) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(147,2286) x common factors =3 x 1 = 3
LCM(147,2286) = ( 147 × 2286 ) / 3
LCM(147,2286) = 336042 / 3
LCM(147,2286) = 112014
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FAQs on GCF of Fractions of 5710/147, 6960/2286
1. What is the HCF of 5710,6960?
The HCF of 5710,6960 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 5710/147, 6960/2286?
Answer: GCF of Numerators as per given numbers 5710/147, 6960/2286 is
GCF of Numerators i.e. for 5710,6960 is 10
LCM of denominators i.e. for 147,2286 is 112014.
Thus, GCF of Fractions is 10/112014.Finally, GCF of Fractions for 5710/147, 6960/2286 is 10/112014.