GCF of 7338/677, 7092/1153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7338/677, 7092/1153 i.e 6/780581 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7338/677, 7092/1153.
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 7338/677,7092/1153?
Given fractions are 7338/677,7092/1153
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 7338/677,7092/1153, numerators are 7338,7092
Denominators are 677,1153
The GCF of 7338,7092 is 6 .
LCM of 677,1153 is 780581.
The greatest common factor of 7338/677,7092/1153 = [GCF of 7338,7092]/[LCM of 677,1153]= 6/780581
Therefore, the GCF of 7338/677,7092/1153 is 6/780581.
To find the highest common factor of 7338,7092, we have to find the factors of both numbers and list the highest common factor.
The factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338
The factors of 7092 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092
The HCF of 7338,7092 is 6.
Lets's calculate GCF of 7338,7092
| 2 | 7338, 7092 |
| 3 | 3669, 3546 |
| 1223, 1182 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7338,7092 By Matching Biggest Common Factor Method
Now, list down the factors of 7338
:1,2,3,6,1223,2446,3669,7338
Now, list down the factors of 7092
:1,2,3,4,6,9,12,18,36,197,394,591,788,1182,1773,2364,3546,7092
Greatest Common Factor
We found the factors 7338,7092 . The biggest common factor number is the GCF number.
So the greatest common factor 7338,7092 is 6.
Lets's calculate LCM of 677,1153
Given numbers has no common factors except 1. So, there LCM is their product i.e 780581
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/780581
Therefore, the GCF of Fractions 7338/677,7092/1153 is 6/780581
Least Common Multiple of 677,1153 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 677,1153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,1153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,1153) x common factors =1 x 1 = 1
LCM(677,1153) = ( 677 × 1153 ) / 1
LCM(677,1153) = 780581 / 1
LCM(677,1153) = 780581
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FAQs on GCF of Fractions of 7338/677, 7092/1153
1. What is the HCF of 7338,7092?
The HCF of 7338,7092 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 7338/677, 7092/1153?
Answer: GCF of Numerators as per given numbers 7338/677, 7092/1153 is
GCF of Numerators i.e. for 7338,7092 is 6
LCM of denominators i.e. for 677,1153 is 780581.
Thus, GCF of Fractions is 6/780581.Finally, GCF of Fractions for 7338/677, 7092/1153 is 6/780581.