GCF of 3432/195, 2676/8382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3432/195, 2676/8382 i.e 12/544830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3432/195, 2676/8382.
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 3432/195,2676/8382?
Given fractions are 3432/195,2676/8382
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 3432/195,2676/8382, numerators are 3432,2676
Denominators are 195,8382
The GCF of 3432,2676 is 12 .
LCM of 195,8382 is 544830.
The greatest common factor of 3432/195,2676/8382 = [GCF of 3432,2676]/[LCM of 195,8382]= 12/544830
Therefore, the GCF of 3432/195,2676/8382 is 12/544830.
To find the highest common factor of 3432,2676, we have to find the factors of both numbers and list the highest common factor.
The factors of 3432 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432
The factors of 2676 are 1, 2, 3, 4, 6, 12, 223, 446, 669, 892, 1338, 2676
The HCF of 3432,2676 is 12.
Lets's calculate GCF of 3432,2676
| 2 | 3432, 2676 |
| 2 | 1716, 1338 |
| 3 | 858, 669 |
| 286, 223 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3432,2676 By Matching Biggest Common Factor Method
Now, list down the factors of 3432
:1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432
Now, list down the factors of 2676
:1,2,3,4,6,12,223,446,669,892,1338,2676
Greatest Common Factor
We found the factors 3432,2676 . The biggest common factor number is the GCF number.
So the greatest common factor 3432,2676 is 12.
Lets's calculate LCM of 195,8382
| 3 | 195, 8382 |
| 65, 2794 |
∴ So the LCM of the given numbers is 3 x 65 x 2794 = 544830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/544830
Therefore, the GCF of Fractions 3432/195,2676/8382 is 12/544830
Least Common Multiple of 195,8382 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 195,8382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,8382) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(195,8382) x common factors =3 x 1 = 3
LCM(195,8382) = ( 195 × 8382 ) / 3
LCM(195,8382) = 1634490 / 3
LCM(195,8382) = 544830
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FAQs on GCF of Fractions of 3432/195, 2676/8382
1. What is the HCF of 3432,2676?
The HCF of 3432,2676 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 3432/195, 2676/8382?
Answer: GCF of Numerators as per given numbers 3432/195, 2676/8382 is
GCF of Numerators i.e. for 3432,2676 is 12
LCM of denominators i.e. for 195,8382 is 544830.
Thus, GCF of Fractions is 12/544830.Finally, GCF of Fractions for 3432/195, 2676/8382 is 12/544830.