GCF of 6711/474, 9828/108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6711/474, 9828/108 i.e 3/8532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6711/474, 9828/108.
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 6711/474,9828/108?
Given fractions are 6711/474,9828/108
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 6711/474,9828/108, numerators are 6711,9828
Denominators are 474,108
The GCF of 6711,9828 is 3 .
LCM of 474,108 is 8532.
The greatest common factor of 6711/474,9828/108 = [GCF of 6711,9828]/[LCM of 474,108]= 3/8532
Therefore, the GCF of 6711/474,9828/108 is 3/8532.
To find the highest common factor of 6711,9828, we have to find the factors of both numbers and list the highest common factor.
The factors of 6711 are 1, 3, 2237, 6711
The factors of 9828 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828
The HCF of 6711,9828 is 3.
Lets's calculate GCF of 6711,9828
| 3 | 6711, 9828 |
| 2237, 3276 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6711,9828 By Matching Biggest Common Factor Method
Now, list down the factors of 6711
:1,3,2237,6711
Now, list down the factors of 9828
:1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828
Greatest Common Factor
We found the factors 6711,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 6711,9828 is 3.
Lets's calculate LCM of 474,108
| 2 | 474, 108 |
| 3 | 237, 54 |
| 79, 18 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 18 = 8532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8532
Therefore, the GCF of Fractions 6711/474,9828/108 is 3/8532
Least Common Multiple of 474,108 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 474,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,108) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(474,108) x common factors =6 x 1 = 6
LCM(474,108) = ( 474 × 108 ) / 6
LCM(474,108) = 51192 / 6
LCM(474,108) = 8532
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FAQs on GCF of Fractions of 6711/474, 9828/108
1. What is the HCF of 6711,9828?
The HCF of 6711,9828 is 3
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 6711/474, 9828/108?
Answer: GCF of Numerators as per given numbers 6711/474, 9828/108 is
GCF of Numerators i.e. for 6711,9828 is 3
LCM of denominators i.e. for 474,108 is 8532.
Thus, GCF of Fractions is 3/8532.Finally, GCF of Fractions for 6711/474, 9828/108 is 3/8532.