GCF of 6937/415, 7533/4482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6937/415, 7533/4482 i.e 1/22410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6937/415, 7533/4482.
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 6937/415,7533/4482?
Given fractions are 6937/415,7533/4482
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 6937/415,7533/4482, numerators are 6937,7533
Denominators are 415,4482
The GCF of 6937,7533 is 1 .
LCM of 415,4482 is 22410.
The greatest common factor of 6937/415,7533/4482 = [GCF of 6937,7533]/[LCM of 415,4482]= 1/22410
Therefore, the GCF of 6937/415,7533/4482 is 1/22410.
To find the highest common factor of 6937,7533, we have to find the factors of both numbers and list the highest common factor.
The factors of 6937 are 1, 7, 991, 6937
The factors of 7533 are 1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533
The HCF of 6937,7533 is 1.
Lets's calculate GCF of 6937,7533
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6937,7533 By Matching Biggest Common Factor Method
Now, list down the factors of 6937
:1,7,991,6937
Now, list down the factors of 7533
:1,3,9,27,31,81,93,243,279,837,2511,7533
Greatest Common Factor
We found the factors 6937,7533 . The biggest common factor number is the GCF number.
So the greatest common factor 6937,7533 is 1.
Lets's calculate LCM of 415,4482
| 83 | 415, 4482 |
| 5, 54 |
∴ So the LCM of the given numbers is 83 x 5 x 54 = 22410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22410
Therefore, the GCF of Fractions 6937/415,7533/4482 is 1/22410
Least Common Multiple of 415,4482 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 415,4482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,4482) = 83
common factors(in case of two or more numbers have common factors) = 1
GCF(415,4482) x common factors =83 x 1 = 83
LCM(415,4482) = ( 415 × 4482 ) / 83
LCM(415,4482) = 1860030 / 83
LCM(415,4482) = 22410
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FAQs on GCF of Fractions of 6937/415, 7533/4482
1. What is the HCF of 6937,7533?
The HCF of 6937,7533 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 6937/415, 7533/4482?
Answer: GCF of Numerators as per given numbers 6937/415, 7533/4482 is
GCF of Numerators i.e. for 6937,7533 is 1
LCM of denominators i.e. for 415,4482 is 22410.
Thus, GCF of Fractions is 1/22410.Finally, GCF of Fractions for 6937/415, 7533/4482 is 1/22410.