GCF of 6675/626, 6975/8760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6675/626, 6975/8760 i.e 75/2741880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6675/626, 6975/8760.
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 6675/626,6975/8760?
Given fractions are 6675/626,6975/8760
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 6675/626,6975/8760, numerators are 6675,6975
Denominators are 626,8760
The GCF of 6675,6975 is 75 .
LCM of 626,8760 is 2741880.
The greatest common factor of 6675/626,6975/8760 = [GCF of 6675,6975]/[LCM of 626,8760]= 75/2741880
Therefore, the GCF of 6675/626,6975/8760 is 75/2741880.
To find the highest common factor of 6675,6975, we have to find the factors of both numbers and list the highest common factor.
The factors of 6675 are 1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225, 6675
The factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975
The HCF of 6675,6975 is 75.
Lets's calculate GCF of 6675,6975
| 3 | 6675, 6975 |
| 5 | 2225, 2325 |
| 5 | 445, 465 |
| 89, 93 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Greatest Common Factor of 6675,6975 By Matching Biggest Common Factor Method
Now, list down the factors of 6675
:1,3,5,15,25,75,89,267,445,1335,2225,6675
Now, list down the factors of 6975
:1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975
Greatest Common Factor
We found the factors 6675,6975 . The biggest common factor number is the GCF number.
So the greatest common factor 6675,6975 is 75.
Lets's calculate LCM of 626,8760
| 2 | 626, 8760 |
| 313, 4380 |
∴ So the LCM of the given numbers is 2 x 313 x 4380 = 2741880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/2741880
Therefore, the GCF of Fractions 6675/626,6975/8760 is 75/2741880
Least Common Multiple of 626,8760 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 626,8760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,8760) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,8760) x common factors =2 x 1 = 2
LCM(626,8760) = ( 626 × 8760 ) / 2
LCM(626,8760) = 5483760 / 2
LCM(626,8760) = 2741880
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FAQs on GCF of Fractions of 6675/626, 6975/8760
1. What is the HCF of 6675,6975?
The HCF of 6675,6975 is 75
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 6675/626, 6975/8760?
Answer: GCF of Numerators as per given numbers 6675/626, 6975/8760 is
GCF of Numerators i.e. for 6675,6975 is 75
LCM of denominators i.e. for 626,8760 is 2741880.
Thus, GCF of Fractions is 75/2741880.Finally, GCF of Fractions for 6675/626, 6975/8760 is 75/2741880.