GCF of 6/39, 74/44, 62/705, 264/188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6/39, 74/44, 62/705, 264/188 i.e 2/403260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/39, 74/44, 62/705, 264/188.
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 6/39,74/44,62/705,264/188?
Given fractions are 6/39,74/44,62/705,264/188
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 6/39,74/44,62/705,264/188, numerators are 6,74,62,264
Denominators are 39,44,705,188
The GCF of 6,74,62,264 is 2 .
LCM of 39,44,705,188 is 403260.
The greatest common factor of 6/39,74/44,62/705,264/188 = [GCF of 6,74,62,264]/[LCM of 39,44,705,188]= 2/403260
Therefore, the GCF of 6/39,74/44,62/705,264/188 is 2/403260.
To find the highest common factor of 6,74,62,264, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 74 are 1, 2, 37, 74
The factors of 62 are 1, 2, 31, 62
The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
The HCF of 6,74,62,264 is 2.
Lets's calculate GCF of 6,74,62,264
| 2 | 6, 74, 62, 264 |
| 3, 37, 31, 132 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6,74,62,264 By Matching Biggest Common Factor Method
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 264
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 6,74,62,264 . The biggest common factor number is the GCF number.
So the greatest common factor 6,74,62,264 is 2.
Lets's calculate LCM of 39,44,705,188
| 2 | 39, 44, 705, 188 |
| 2 | 39, 22, 705, 94 |
| 3 | 39, 11, 705, 47 |
| 47 | 13, 11, 235, 47 |
| 13, 11, 5, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 13 x 11 x 5 x 1 = 403260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/403260
Therefore, the GCF of Fractions 6/39,74/44,62/705,264/188 is 2/403260
Least Common Multiple of 39,44,705,188 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 39,44,705,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,44,705,188) = 1
common factors(in case of two or more numbers have common factors) = 564
GCF(39,44,705,188) x common factors =1 x 564 = 564
LCM(39,44,705,188) = ( 39 × 44 × 705 × 188 ) / 564
LCM(39,44,705,188) = 227438640 / 564
LCM(39,44,705,188) = 403260
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6/39, 74/44, 62/705, 264/188
1. What is the HCF of 6,74,62,264?
The HCF of 6,74,62,264 is 2
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 6/39, 74/44, 62/705, 264/188?
Answer: GCF of Numerators as per given numbers 6/39, 74/44, 62/705, 264/188 is
GCF of Numerators i.e. for 6,74,62,264 is 2
LCM of denominators i.e. for 39,44,705,188 is 403260.
Thus, GCF of Fractions is 2/403260.Finally, GCF of Fractions for 6/39, 74/44, 62/705, 264/188 is 2/403260.