GCF of 3503/112, 8010/7324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3503/112, 8010/7324 i.e 1/205072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3503/112, 8010/7324.
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 3503/112,8010/7324?
Given fractions are 3503/112,8010/7324
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 3503/112,8010/7324, numerators are 3503,8010
Denominators are 112,7324
The GCF of 3503,8010 is 1 .
LCM of 112,7324 is 205072.
The greatest common factor of 3503/112,8010/7324 = [GCF of 3503,8010]/[LCM of 112,7324]= 1/205072
Therefore, the GCF of 3503/112,8010/7324 is 1/205072.
To find the highest common factor of 3503,8010, we have to find the factors of both numbers and list the highest common factor.
The factors of 3503 are 1, 31, 113, 3503
The factors of 8010 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 89, 90, 178, 267, 445, 534, 801, 890, 1335, 1602, 2670, 4005, 8010
The HCF of 3503,8010 is 1.
Lets's calculate GCF of 3503,8010
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3503,8010 By Matching Biggest Common Factor Method
Now, list down the factors of 3503
:1,31,113,3503
Now, list down the factors of 8010
:1,2,3,5,6,9,10,15,18,30,45,89,90,178,267,445,534,801,890,1335,1602,2670,4005,8010
Greatest Common Factor
We found the factors 3503,8010 . The biggest common factor number is the GCF number.
So the greatest common factor 3503,8010 is 1.
Lets's calculate LCM of 112,7324
| 2 | 112, 7324 |
| 2 | 56, 3662 |
| 28, 1831 |
∴ So the LCM of the given numbers is 2 x 2 x 28 x 1831 = 205072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205072
Therefore, the GCF of Fractions 3503/112,8010/7324 is 1/205072
Least Common Multiple of 112,7324 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 112,7324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,7324) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(112,7324) x common factors =4 x 1 = 4
LCM(112,7324) = ( 112 × 7324 ) / 4
LCM(112,7324) = 820288 / 4
LCM(112,7324) = 205072
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3503/112, 8010/7324
1. What is the HCF of 3503,8010?
The HCF of 3503,8010 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 3503/112, 8010/7324?
Answer: GCF of Numerators as per given numbers 3503/112, 8010/7324 is
GCF of Numerators i.e. for 3503,8010 is 1
LCM of denominators i.e. for 112,7324 is 205072.
Thus, GCF of Fractions is 1/205072.Finally, GCF of Fractions for 3503/112, 8010/7324 is 1/205072.