GCF of 1092/45, 8515/373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1092/45, 8515/373 i.e 13/16785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1092/45, 8515/373.
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 1092/45,8515/373?
Given fractions are 1092/45,8515/373
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 1092/45,8515/373, numerators are 1092,8515
Denominators are 45,373
The GCF of 1092,8515 is 13 .
LCM of 45,373 is 16785.
The greatest common factor of 1092/45,8515/373 = [GCF of 1092,8515]/[LCM of 45,373]= 13/16785
Therefore, the GCF of 1092/45,8515/373 is 13/16785.
To find the highest common factor of 1092,8515, we have to find the factors of both numbers and list the highest common factor.
The factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092
The factors of 8515 are 1, 5, 13, 65, 131, 655, 1703, 8515
The HCF of 1092,8515 is 13.
Lets's calculate GCF of 1092,8515
| 13 | 1092, 8515 |
| 84, 655 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1092,8515 By Matching Biggest Common Factor Method
Now, list down the factors of 1092
:1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092
Now, list down the factors of 8515
:1,5,13,65,131,655,1703,8515
Greatest Common Factor
We found the factors 1092,8515 . The biggest common factor number is the GCF number.
So the greatest common factor 1092,8515 is 13.
Lets's calculate LCM of 45,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 16785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/16785
Therefore, the GCF of Fractions 1092/45,8515/373 is 13/16785
Least Common Multiple of 45,373 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 45,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,373) x common factors =1 x 1 = 1
LCM(45,373) = ( 45 × 373 ) / 1
LCM(45,373) = 16785 / 1
LCM(45,373) = 16785
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FAQs on GCF of Fractions of 1092/45, 8515/373
1. What is the HCF of 1092,8515?
The HCF of 1092,8515 is 13
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 1092/45, 8515/373?
Answer: GCF of Numerators as per given numbers 1092/45, 8515/373 is
GCF of Numerators i.e. for 1092,8515 is 13
LCM of denominators i.e. for 45,373 is 16785.
Thus, GCF of Fractions is 13/16785.Finally, GCF of Fractions for 1092/45, 8515/373 is 13/16785.