GCF of 6636/966, 3416/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6636/966, 3416/638 i.e 28/308154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6636/966, 3416/638.
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 6636/966,3416/638?
Given fractions are 6636/966,3416/638
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 6636/966,3416/638, numerators are 6636,3416
Denominators are 966,638
The GCF of 6636,3416 is 28 .
LCM of 966,638 is 308154.
The greatest common factor of 6636/966,3416/638 = [GCF of 6636,3416]/[LCM of 966,638]= 28/308154
Therefore, the GCF of 6636/966,3416/638 is 28/308154.
To find the highest common factor of 6636,3416, we have to find the factors of both numbers and list the highest common factor.
The factors of 6636 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318, 6636
The factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416
The HCF of 6636,3416 is 28.
Lets's calculate GCF of 6636,3416
| 2 | 6636, 3416 |
| 2 | 3318, 1708 |
| 7 | 1659, 854 |
| 237, 122 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 6636,3416 By Matching Biggest Common Factor Method
Now, list down the factors of 6636
:1,2,3,4,6,7,12,14,21,28,42,79,84,158,237,316,474,553,948,1106,1659,2212,3318,6636
Now, list down the factors of 3416
:1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416
Greatest Common Factor
We found the factors 6636,3416 . The biggest common factor number is the GCF number.
So the greatest common factor 6636,3416 is 28.
Lets's calculate LCM of 966,638
| 2 | 966, 638 |
| 483, 319 |
∴ So the LCM of the given numbers is 2 x 483 x 319 = 308154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/308154
Therefore, the GCF of Fractions 6636/966,3416/638 is 28/308154
Least Common Multiple of 966,638 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 966,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,638) x common factors =2 x 1 = 2
LCM(966,638) = ( 966 × 638 ) / 2
LCM(966,638) = 616308 / 2
LCM(966,638) = 308154
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FAQs on GCF of Fractions of 6636/966, 3416/638
1. What is the HCF of 6636,3416?
The HCF of 6636,3416 is 28
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 6636/966, 3416/638?
Answer: GCF of Numerators as per given numbers 6636/966, 3416/638 is
GCF of Numerators i.e. for 6636,3416 is 28
LCM of denominators i.e. for 966,638 is 308154.
Thus, GCF of Fractions is 28/308154.Finally, GCF of Fractions for 6636/966, 3416/638 is 28/308154.