GCF of 7531/982, 7437/1082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7531/982, 7437/1082 i.e 1/531262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7531/982, 7437/1082.
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 7531/982,7437/1082?
Given fractions are 7531/982,7437/1082
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 7531/982,7437/1082, numerators are 7531,7437
Denominators are 982,1082
The GCF of 7531,7437 is 1 .
LCM of 982,1082 is 531262.
The greatest common factor of 7531/982,7437/1082 = [GCF of 7531,7437]/[LCM of 982,1082]= 1/531262
Therefore, the GCF of 7531/982,7437/1082 is 1/531262.
To find the highest common factor of 7531,7437, we have to find the factors of both numbers and list the highest common factor.
The factors of 7531 are 1, 17, 443, 7531
The factors of 7437 are 1, 3, 37, 67, 111, 201, 2479, 7437
The HCF of 7531,7437 is 1.
Lets's calculate GCF of 7531,7437
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7531,7437 By Matching Biggest Common Factor Method
Now, list down the factors of 7531
:1,17,443,7531
Now, list down the factors of 7437
:1,3,37,67,111,201,2479,7437
Greatest Common Factor
We found the factors 7531,7437 . The biggest common factor number is the GCF number.
So the greatest common factor 7531,7437 is 1.
Lets's calculate LCM of 982,1082
| 2 | 982, 1082 |
| 491, 541 |
∴ So the LCM of the given numbers is 2 x 491 x 541 = 531262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/531262
Therefore, the GCF of Fractions 7531/982,7437/1082 is 1/531262
Least Common Multiple of 982,1082 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 982,1082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,1082) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,1082) x common factors =2 x 1 = 2
LCM(982,1082) = ( 982 × 1082 ) / 2
LCM(982,1082) = 1062524 / 2
LCM(982,1082) = 531262
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FAQs on GCF of Fractions of 7531/982, 7437/1082
1. What is the HCF of 7531,7437?
The HCF of 7531,7437 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 7531/982, 7437/1082?
Answer: GCF of Numerators as per given numbers 7531/982, 7437/1082 is
GCF of Numerators i.e. for 7531,7437 is 1
LCM of denominators i.e. for 982,1082 is 531262.
Thus, GCF of Fractions is 1/531262.Finally, GCF of Fractions for 7531/982, 7437/1082 is 1/531262.