GCF of 3815/832, 9002/1090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3815/832, 9002/1090 i.e 7/453440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3815/832, 9002/1090.
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 3815/832,9002/1090?
Given fractions are 3815/832,9002/1090
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 3815/832,9002/1090, numerators are 3815,9002
Denominators are 832,1090
The GCF of 3815,9002 is 7 .
LCM of 832,1090 is 453440.
The greatest common factor of 3815/832,9002/1090 = [GCF of 3815,9002]/[LCM of 832,1090]= 7/453440
Therefore, the GCF of 3815/832,9002/1090 is 7/453440.
To find the highest common factor of 3815,9002, we have to find the factors of both numbers and list the highest common factor.
The factors of 3815 are 1, 5, 7, 35, 109, 545, 763, 3815
The factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002
The HCF of 3815,9002 is 7.
Lets's calculate GCF of 3815,9002
| 7 | 3815, 9002 |
| 545, 1286 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3815,9002 By Matching Biggest Common Factor Method
Now, list down the factors of 3815
:1,5,7,35,109,545,763,3815
Now, list down the factors of 9002
:1,2,7,14,643,1286,4501,9002
Greatest Common Factor
We found the factors 3815,9002 . The biggest common factor number is the GCF number.
So the greatest common factor 3815,9002 is 7.
Lets's calculate LCM of 832,1090
| 2 | 832, 1090 |
| 416, 545 |
∴ So the LCM of the given numbers is 2 x 416 x 545 = 453440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/453440
Therefore, the GCF of Fractions 3815/832,9002/1090 is 7/453440
Least Common Multiple of 832,1090 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 832,1090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,1090) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(832,1090) x common factors =2 x 1 = 2
LCM(832,1090) = ( 832 × 1090 ) / 2
LCM(832,1090) = 906880 / 2
LCM(832,1090) = 453440
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3815/832, 9002/1090
1. What is the HCF of 3815,9002?
The HCF of 3815,9002 is 7
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 3815/832, 9002/1090?
Answer: GCF of Numerators as per given numbers 3815/832, 9002/1090 is
GCF of Numerators i.e. for 3815,9002 is 7
LCM of denominators i.e. for 832,1090 is 453440.
Thus, GCF of Fractions is 7/453440.Finally, GCF of Fractions for 3815/832, 9002/1090 is 7/453440.