GCF of 6636/170, 3438/5754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6636/170, 3438/5754 i.e 6/489090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6636/170, 3438/5754.
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 6636/170,3438/5754?
Given fractions are 6636/170,3438/5754
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 6636/170,3438/5754, numerators are 6636,3438
Denominators are 170,5754
The GCF of 6636,3438 is 6 .
LCM of 170,5754 is 489090.
The greatest common factor of 6636/170,3438/5754 = [GCF of 6636,3438]/[LCM of 170,5754]= 6/489090
Therefore, the GCF of 6636/170,3438/5754 is 6/489090.
To find the highest common factor of 6636,3438, 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 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438
The HCF of 6636,3438 is 6.
Lets's calculate GCF of 6636,3438
| 2 | 6636, 3438 |
| 3 | 3318, 1719 |
| 1106, 573 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6636,3438 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 3438
:1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 6636,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 6636,3438 is 6.
Lets's calculate LCM of 170,5754
| 2 | 170, 5754 |
| 85, 2877 |
∴ So the LCM of the given numbers is 2 x 85 x 2877 = 489090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/489090
Therefore, the GCF of Fractions 6636/170,3438/5754 is 6/489090
Least Common Multiple of 170,5754 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 170,5754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,5754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,5754) x common factors =2 x 1 = 2
LCM(170,5754) = ( 170 × 5754 ) / 2
LCM(170,5754) = 978180 / 2
LCM(170,5754) = 489090
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FAQs on GCF of Fractions of 6636/170, 3438/5754
1. What is the HCF of 6636,3438?
The HCF of 6636,3438 is 6
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 6636/170, 3438/5754?
Answer: GCF of Numerators as per given numbers 6636/170, 3438/5754 is
GCF of Numerators i.e. for 6636,3438 is 6
LCM of denominators i.e. for 170,5754 is 489090.
Thus, GCF of Fractions is 6/489090.Finally, GCF of Fractions for 6636/170, 3438/5754 is 6/489090.