GCF of 7092/155, 8478/3940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7092/155, 8478/3940 i.e 18/122140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7092/155, 8478/3940.
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 7092/155,8478/3940?
Given fractions are 7092/155,8478/3940
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 7092/155,8478/3940, numerators are 7092,8478
Denominators are 155,3940
The GCF of 7092,8478 is 18 .
LCM of 155,3940 is 122140.
The greatest common factor of 7092/155,8478/3940 = [GCF of 7092,8478]/[LCM of 155,3940]= 18/122140
Therefore, the GCF of 7092/155,8478/3940 is 18/122140.
To find the highest common factor of 7092,8478, we have to find the factors of both numbers and list the highest common factor.
The factors of 7092 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092
The factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478
The HCF of 7092,8478 is 18.
Lets's calculate GCF of 7092,8478
| 2 | 7092, 8478 |
| 3 | 3546, 4239 |
| 3 | 1182, 1413 |
| 394, 471 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 7092,8478 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8478
:1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478
Greatest Common Factor
We found the factors 7092,8478 . The biggest common factor number is the GCF number.
So the greatest common factor 7092,8478 is 18.
Lets's calculate LCM of 155,3940
| 5 | 155, 3940 |
| 31, 788 |
∴ So the LCM of the given numbers is 5 x 31 x 788 = 122140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/122140
Therefore, the GCF of Fractions 7092/155,8478/3940 is 18/122140
Least Common Multiple of 155,3940 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 155,3940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,3940) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(155,3940) x common factors =5 x 1 = 5
LCM(155,3940) = ( 155 × 3940 ) / 5
LCM(155,3940) = 610700 / 5
LCM(155,3940) = 122140
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FAQs on GCF of Fractions of 7092/155, 8478/3940
1. What is the HCF of 7092,8478?
The HCF of 7092,8478 is 18
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 7092/155, 8478/3940?
Answer: GCF of Numerators as per given numbers 7092/155, 8478/3940 is
GCF of Numerators i.e. for 7092,8478 is 18
LCM of denominators i.e. for 155,3940 is 122140.
Thus, GCF of Fractions is 18/122140.Finally, GCF of Fractions for 7092/155, 8478/3940 is 18/122140.