GCF of 7491/893, 9126/9687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7491/893, 9126/9687 i.e 3/8650491 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7491/893, 9126/9687.
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 7491/893,9126/9687?
Given fractions are 7491/893,9126/9687
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 7491/893,9126/9687, numerators are 7491,9126
Denominators are 893,9687
The GCF of 7491,9126 is 3 .
LCM of 893,9687 is 8650491.
The greatest common factor of 7491/893,9126/9687 = [GCF of 7491,9126]/[LCM of 893,9687]= 3/8650491
Therefore, the GCF of 7491/893,9126/9687 is 3/8650491.
To find the highest common factor of 7491,9126, we have to find the factors of both numbers and list the highest common factor.
The factors of 7491 are 1, 3, 11, 33, 227, 681, 2497, 7491
The factors of 9126 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126
The HCF of 7491,9126 is 3.
Lets's calculate GCF of 7491,9126
| 3 | 7491, 9126 |
| 2497, 3042 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7491,9126 By Matching Biggest Common Factor Method
Now, list down the factors of 7491
:1,3,11,33,227,681,2497,7491
Now, list down the factors of 9126
:1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126
Greatest Common Factor
We found the factors 7491,9126 . The biggest common factor number is the GCF number.
So the greatest common factor 7491,9126 is 3.
Lets's calculate LCM of 893,9687
Given numbers has no common factors except 1. So, there LCM is their product i.e 8650491
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8650491
Therefore, the GCF of Fractions 7491/893,9126/9687 is 3/8650491
Least Common Multiple of 893,9687 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 893,9687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,9687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,9687) x common factors =1 x 1 = 1
LCM(893,9687) = ( 893 × 9687 ) / 1
LCM(893,9687) = 8650491 / 1
LCM(893,9687) = 8650491
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FAQs on GCF of Fractions of 7491/893, 9126/9687
1. What is the HCF of 7491,9126?
The HCF of 7491,9126 is 3
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 7491/893, 9126/9687?
Answer: GCF of Numerators as per given numbers 7491/893, 9126/9687 is
GCF of Numerators i.e. for 7491,9126 is 3
LCM of denominators i.e. for 893,9687 is 8650491.
Thus, GCF of Fractions is 3/8650491.Finally, GCF of Fractions for 7491/893, 9126/9687 is 3/8650491.