GCF of 6960/857, 5676/4053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6960/857, 5676/4053 i.e 12/3473421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6960/857, 5676/4053.
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 6960/857,5676/4053?
Given fractions are 6960/857,5676/4053
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 6960/857,5676/4053, numerators are 6960,5676
Denominators are 857,4053
The GCF of 6960,5676 is 12 .
LCM of 857,4053 is 3473421.
The greatest common factor of 6960/857,5676/4053 = [GCF of 6960,5676]/[LCM of 857,4053]= 12/3473421
Therefore, the GCF of 6960/857,5676/4053 is 12/3473421.
To find the highest common factor of 6960,5676, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5676 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 129, 132, 172, 258, 473, 516, 946, 1419, 1892, 2838, 5676
The HCF of 6960,5676 is 12.
Lets's calculate GCF of 6960,5676
| 2 | 6960, 5676 |
| 2 | 3480, 2838 |
| 3 | 1740, 1419 |
| 580, 473 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6960,5676 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5676
:1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676
Greatest Common Factor
We found the factors 6960,5676 . The biggest common factor number is the GCF number.
So the greatest common factor 6960,5676 is 12.
Lets's calculate LCM of 857,4053
Given numbers has no common factors except 1. So, there LCM is their product i.e 3473421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3473421
Therefore, the GCF of Fractions 6960/857,5676/4053 is 12/3473421
Least Common Multiple of 857,4053 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 857,4053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,4053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,4053) x common factors =1 x 1 = 1
LCM(857,4053) = ( 857 × 4053 ) / 1
LCM(857,4053) = 3473421 / 1
LCM(857,4053) = 3473421
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FAQs on GCF of Fractions of 6960/857, 5676/4053
1. What is the HCF of 6960,5676?
The HCF of 6960,5676 is 12
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 6960/857, 5676/4053?
Answer: GCF of Numerators as per given numbers 6960/857, 5676/4053 is
GCF of Numerators i.e. for 6960,5676 is 12
LCM of denominators i.e. for 857,4053 is 3473421.
Thus, GCF of Fractions is 12/3473421.Finally, GCF of Fractions for 6960/857, 5676/4053 is 12/3473421.