GCF of 3097/762, 4092/2292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3097/762, 4092/2292 i.e 1/291084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3097/762, 4092/2292.
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 3097/762,4092/2292?
Given fractions are 3097/762,4092/2292
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 3097/762,4092/2292, numerators are 3097,4092
Denominators are 762,2292
The GCF of 3097,4092 is 1 .
LCM of 762,2292 is 291084.
The greatest common factor of 3097/762,4092/2292 = [GCF of 3097,4092]/[LCM of 762,2292]= 1/291084
Therefore, the GCF of 3097/762,4092/2292 is 1/291084.
To find the highest common factor of 3097,4092, we have to find the factors of both numbers and list the highest common factor.
The factors of 3097 are 1, 19, 163, 3097
The factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092
The HCF of 3097,4092 is 1.
Lets's calculate GCF of 3097,4092
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3097,4092 By Matching Biggest Common Factor Method
Now, list down the factors of 3097
:1,19,163,3097
Now, list down the factors of 4092
:1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092
Greatest Common Factor
We found the factors 3097,4092 . The biggest common factor number is the GCF number.
So the greatest common factor 3097,4092 is 1.
Lets's calculate LCM of 762,2292
| 2 | 762, 2292 |
| 3 | 381, 1146 |
| 127, 382 |
∴ So the LCM of the given numbers is 2 x 3 x 127 x 382 = 291084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291084
Therefore, the GCF of Fractions 3097/762,4092/2292 is 1/291084
Least Common Multiple of 762,2292 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 762,2292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,2292) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(762,2292) x common factors =6 x 1 = 6
LCM(762,2292) = ( 762 × 2292 ) / 6
LCM(762,2292) = 1746504 / 6
LCM(762,2292) = 291084
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FAQs on GCF of Fractions of 3097/762, 4092/2292
1. What is the HCF of 3097,4092?
The HCF of 3097,4092 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 3097/762, 4092/2292?
Answer: GCF of Numerators as per given numbers 3097/762, 4092/2292 is
GCF of Numerators i.e. for 3097,4092 is 1
LCM of denominators i.e. for 762,2292 is 291084.
Thus, GCF of Fractions is 1/291084.Finally, GCF of Fractions for 3097/762, 4092/2292 is 1/291084.