GCF of 6708/838, 6756/2900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6708/838, 6756/2900 i.e 12/1215100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6708/838, 6756/2900.
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 6708/838,6756/2900?
Given fractions are 6708/838,6756/2900
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 6708/838,6756/2900, numerators are 6708,6756
Denominators are 838,2900
The GCF of 6708,6756 is 12 .
LCM of 838,2900 is 1215100.
The greatest common factor of 6708/838,6756/2900 = [GCF of 6708,6756]/[LCM of 838,2900]= 12/1215100
Therefore, the GCF of 6708/838,6756/2900 is 12/1215100.
To find the highest common factor of 6708,6756, we have to find the factors of both numbers and list the highest common factor.
The factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708
The factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756
The HCF of 6708,6756 is 12.
Lets's calculate GCF of 6708,6756
| 2 | 6708, 6756 |
| 2 | 3354, 3378 |
| 3 | 1677, 1689 |
| 559, 563 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6708,6756 By Matching Biggest Common Factor Method
Now, list down the factors of 6708
:1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708
Now, list down the factors of 6756
:1,2,3,4,6,12,563,1126,1689,2252,3378,6756
Greatest Common Factor
We found the factors 6708,6756 . The biggest common factor number is the GCF number.
So the greatest common factor 6708,6756 is 12.
Lets's calculate LCM of 838,2900
| 2 | 838, 2900 |
| 419, 1450 |
∴ So the LCM of the given numbers is 2 x 419 x 1450 = 1215100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1215100
Therefore, the GCF of Fractions 6708/838,6756/2900 is 12/1215100
Least Common Multiple of 838,2900 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 838,2900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,2900) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,2900) x common factors =2 x 1 = 2
LCM(838,2900) = ( 838 × 2900 ) / 2
LCM(838,2900) = 2430200 / 2
LCM(838,2900) = 1215100
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FAQs on GCF of Fractions of 6708/838, 6756/2900
1. What is the HCF of 6708,6756?
The HCF of 6708,6756 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 6708/838, 6756/2900?
Answer: GCF of Numerators as per given numbers 6708/838, 6756/2900 is
GCF of Numerators i.e. for 6708,6756 is 12
LCM of denominators i.e. for 838,2900 is 1215100.
Thus, GCF of Fractions is 12/1215100.Finally, GCF of Fractions for 6708/838, 6756/2900 is 12/1215100.