GCF of 39/69, 670/69, 902/736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/69, 670/69, 902/736 i.e 1/2208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/69, 670/69, 902/736.
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 39/69,670/69,902/736?
Given fractions are 39/69,670/69,902/736
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 39/69,670/69,902/736, numerators are 39,670,902
Denominators are 69,69,736
The GCF of 39,670,902 is 1 .
LCM of 69,69,736 is 2208.
The greatest common factor of 39/69,670/69,902/736 = [GCF of 39,670,902]/[LCM of 69,69,736]= 1/2208
Therefore, the GCF of 39/69,670/69,902/736 is 1/2208.
To find the highest common factor of 39,670,902, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The HCF of 39,670,902 is 1.
Lets's calculate GCF of 39,670,902
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,670,902 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 670
:1,2,5,10,67,134,335,670
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 39,670,902 . The biggest common factor number is the GCF number.
So the greatest common factor 39,670,902 is 1.
Lets's calculate LCM of 69,69,736
| 3 | 69, 69, 736 |
| 23 | 23, 23, 736 |
| 1, 1, 32 |
∴ So the LCM of the given numbers is 3 x 23 x 1 x 1 x 32 = 2208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2208
Therefore, the GCF of Fractions 39/69,670/69,902/736 is 1/2208
Least Common Multiple of 69,69,736 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 69,69,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,69,736) = 23
common factors(in case of two or more numbers have common factors) = 69
GCF(69,69,736) x common factors =23 x 69 = 1587
LCM(69,69,736) = ( 69 × 69 × 736 ) / 1587
LCM(69,69,736) = 3504096 / 1587
LCM(69,69,736) = 2208
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 39/69, 670/69, 902/736
1. What is the HCF of 39,670,902?
The HCF of 39,670,902 is 1
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 39/69, 670/69, 902/736?
Answer: GCF of Numerators as per given numbers 39/69, 670/69, 902/736 is
GCF of Numerators i.e. for 39,670,902 is 1
LCM of denominators i.e. for 69,69,736 is 2208.
Thus, GCF of Fractions is 1/2208.Finally, GCF of Fractions for 39/69, 670/69, 902/736 is 1/2208.