GCF of 7522/676, 6531/5940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7522/676, 6531/5940 i.e 1/1003860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7522/676, 6531/5940.
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 7522/676,6531/5940?
Given fractions are 7522/676,6531/5940
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 7522/676,6531/5940, numerators are 7522,6531
Denominators are 676,5940
The GCF of 7522,6531 is 1 .
LCM of 676,5940 is 1003860.
The greatest common factor of 7522/676,6531/5940 = [GCF of 7522,6531]/[LCM of 676,5940]= 1/1003860
Therefore, the GCF of 7522/676,6531/5940 is 1/1003860.
To find the highest common factor of 7522,6531, we have to find the factors of both numbers and list the highest common factor.
The factors of 7522 are 1, 2, 3761, 7522
The factors of 6531 are 1, 3, 7, 21, 311, 933, 2177, 6531
The HCF of 7522,6531 is 1.
Lets's calculate GCF of 7522,6531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7522,6531 By Matching Biggest Common Factor Method
Now, list down the factors of 7522
:1,2,3761,7522
Now, list down the factors of 6531
:1,3,7,21,311,933,2177,6531
Greatest Common Factor
We found the factors 7522,6531 . The biggest common factor number is the GCF number.
So the greatest common factor 7522,6531 is 1.
Lets's calculate LCM of 676,5940
| 2 | 676, 5940 |
| 2 | 338, 2970 |
| 169, 1485 |
∴ So the LCM of the given numbers is 2 x 2 x 169 x 1485 = 1003860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1003860
Therefore, the GCF of Fractions 7522/676,6531/5940 is 1/1003860
Least Common Multiple of 676,5940 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 676,5940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,5940) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(676,5940) x common factors =4 x 1 = 4
LCM(676,5940) = ( 676 × 5940 ) / 4
LCM(676,5940) = 4015440 / 4
LCM(676,5940) = 1003860
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FAQs on GCF of Fractions of 7522/676, 6531/5940
1. What is the HCF of 7522,6531?
The HCF of 7522,6531 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 7522/676, 6531/5940?
Answer: GCF of Numerators as per given numbers 7522/676, 6531/5940 is
GCF of Numerators i.e. for 7522,6531 is 1
LCM of denominators i.e. for 676,5940 is 1003860.
Thus, GCF of Fractions is 1/1003860.Finally, GCF of Fractions for 7522/676, 6531/5940 is 1/1003860.