GCF of 6777/930, 9545/9108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6777/930, 9545/9108 i.e 1/1411740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6777/930, 9545/9108.
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 6777/930,9545/9108?
Given fractions are 6777/930,9545/9108
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 6777/930,9545/9108, numerators are 6777,9545
Denominators are 930,9108
The GCF of 6777,9545 is 1 .
LCM of 930,9108 is 1411740.
The greatest common factor of 6777/930,9545/9108 = [GCF of 6777,9545]/[LCM of 930,9108]= 1/1411740
Therefore, the GCF of 6777/930,9545/9108 is 1/1411740.
To find the highest common factor of 6777,9545, we have to find the factors of both numbers and list the highest common factor.
The factors of 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777
The factors of 9545 are 1, 5, 23, 83, 115, 415, 1909, 9545
The HCF of 6777,9545 is 1.
Lets's calculate GCF of 6777,9545
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6777,9545 By Matching Biggest Common Factor Method
Now, list down the factors of 6777
:1,3,9,27,251,753,2259,6777
Now, list down the factors of 9545
:1,5,23,83,115,415,1909,9545
Greatest Common Factor
We found the factors 6777,9545 . The biggest common factor number is the GCF number.
So the greatest common factor 6777,9545 is 1.
Lets's calculate LCM of 930,9108
| 2 | 930, 9108 |
| 3 | 465, 4554 |
| 155, 1518 |
∴ So the LCM of the given numbers is 2 x 3 x 155 x 1518 = 1411740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1411740
Therefore, the GCF of Fractions 6777/930,9545/9108 is 1/1411740
Least Common Multiple of 930,9108 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 930,9108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,9108) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(930,9108) x common factors =6 x 1 = 6
LCM(930,9108) = ( 930 × 9108 ) / 6
LCM(930,9108) = 8470440 / 6
LCM(930,9108) = 1411740
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FAQs on GCF of Fractions of 6777/930, 9545/9108
1. What is the HCF of 6777,9545?
The HCF of 6777,9545 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 6777/930, 9545/9108?
Answer: GCF of Numerators as per given numbers 6777/930, 9545/9108 is
GCF of Numerators i.e. for 6777,9545 is 1
LCM of denominators i.e. for 930,9108 is 1411740.
Thus, GCF of Fractions is 1/1411740.Finally, GCF of Fractions for 6777/930, 9545/9108 is 1/1411740.