GCF of 7531/406, 2191/5456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7531/406, 2191/5456 i.e 1/1107568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7531/406, 2191/5456.
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 7531/406,2191/5456?
Given fractions are 7531/406,2191/5456
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 7531/406,2191/5456, numerators are 7531,2191
Denominators are 406,5456
The GCF of 7531,2191 is 1 .
LCM of 406,5456 is 1107568.
The greatest common factor of 7531/406,2191/5456 = [GCF of 7531,2191]/[LCM of 406,5456]= 1/1107568
Therefore, the GCF of 7531/406,2191/5456 is 1/1107568.
To find the highest common factor of 7531,2191, 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 2191 are 1, 7, 313, 2191
The HCF of 7531,2191 is 1.
Lets's calculate GCF of 7531,2191
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7531,2191 By Matching Biggest Common Factor Method
Now, list down the factors of 7531
:1,17,443,7531
Now, list down the factors of 2191
:1,7,313,2191
Greatest Common Factor
We found the factors 7531,2191 . The biggest common factor number is the GCF number.
So the greatest common factor 7531,2191 is 1.
Lets's calculate LCM of 406,5456
| 2 | 406, 5456 |
| 203, 2728 |
∴ So the LCM of the given numbers is 2 x 203 x 2728 = 1107568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1107568
Therefore, the GCF of Fractions 7531/406,2191/5456 is 1/1107568
Least Common Multiple of 406,5456 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 406,5456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,5456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,5456) x common factors =2 x 1 = 2
LCM(406,5456) = ( 406 × 5456 ) / 2
LCM(406,5456) = 2215136 / 2
LCM(406,5456) = 1107568
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FAQs on GCF of Fractions of 7531/406, 2191/5456
1. What is the HCF of 7531,2191?
The HCF of 7531,2191 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 7531/406, 2191/5456?
Answer: GCF of Numerators as per given numbers 7531/406, 2191/5456 is
GCF of Numerators i.e. for 7531,2191 is 1
LCM of denominators i.e. for 406,5456 is 1107568.
Thus, GCF of Fractions is 1/1107568.Finally, GCF of Fractions for 7531/406, 2191/5456 is 1/1107568.