GCF of 7484/410, 8183/3092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7484/410, 8183/3092 i.e 1/633860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7484/410, 8183/3092.
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 7484/410,8183/3092?
Given fractions are 7484/410,8183/3092
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 7484/410,8183/3092, numerators are 7484,8183
Denominators are 410,3092
The GCF of 7484,8183 is 1 .
LCM of 410,3092 is 633860.
The greatest common factor of 7484/410,8183/3092 = [GCF of 7484,8183]/[LCM of 410,3092]= 1/633860
Therefore, the GCF of 7484/410,8183/3092 is 1/633860.
To find the highest common factor of 7484,8183, we have to find the factors of both numbers and list the highest common factor.
The factors of 7484 are 1, 2, 4, 1871, 3742, 7484
The factors of 8183 are 1, 7, 49, 167, 1169, 8183
The HCF of 7484,8183 is 1.
Lets's calculate GCF of 7484,8183
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7484,8183 By Matching Biggest Common Factor Method
Now, list down the factors of 7484
:1,2,4,1871,3742,7484
Now, list down the factors of 8183
:1,7,49,167,1169,8183
Greatest Common Factor
We found the factors 7484,8183 . The biggest common factor number is the GCF number.
So the greatest common factor 7484,8183 is 1.
Lets's calculate LCM of 410,3092
| 2 | 410, 3092 |
| 205, 1546 |
∴ So the LCM of the given numbers is 2 x 205 x 1546 = 633860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/633860
Therefore, the GCF of Fractions 7484/410,8183/3092 is 1/633860
Least Common Multiple of 410,3092 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 410,3092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,3092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(410,3092) x common factors =2 x 1 = 2
LCM(410,3092) = ( 410 × 3092 ) / 2
LCM(410,3092) = 1267720 / 2
LCM(410,3092) = 633860
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FAQs on GCF of Fractions of 7484/410, 8183/3092
1. What is the HCF of 7484,8183?
The HCF of 7484,8183 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 7484/410, 8183/3092?
Answer: GCF of Numerators as per given numbers 7484/410, 8183/3092 is
GCF of Numerators i.e. for 7484,8183 is 1
LCM of denominators i.e. for 410,3092 is 633860.
Thus, GCF of Fractions is 1/633860.Finally, GCF of Fractions for 7484/410, 8183/3092 is 1/633860.