GCF of 9467/584, 2764/7242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9467/584, 2764/7242 i.e 1/2114664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9467/584, 2764/7242.
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 9467/584,2764/7242?
Given fractions are 9467/584,2764/7242
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 9467/584,2764/7242, numerators are 9467,2764
Denominators are 584,7242
The GCF of 9467,2764 is 1 .
LCM of 584,7242 is 2114664.
The greatest common factor of 9467/584,2764/7242 = [GCF of 9467,2764]/[LCM of 584,7242]= 1/2114664
Therefore, the GCF of 9467/584,2764/7242 is 1/2114664.
To find the highest common factor of 9467,2764, we have to find the factors of both numbers and list the highest common factor.
The factors of 9467 are 1, 9467
The factors of 2764 are 1, 2, 4, 691, 1382, 2764
The HCF of 9467,2764 is 1.
Lets's calculate GCF of 9467,2764
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9467,2764 By Matching Biggest Common Factor Method
Now, list down the factors of 9467
:1,9467
Now, list down the factors of 2764
:1,2,4,691,1382,2764
Greatest Common Factor
We found the factors 9467,2764 . The biggest common factor number is the GCF number.
So the greatest common factor 9467,2764 is 1.
Lets's calculate LCM of 584,7242
| 2 | 584, 7242 |
| 292, 3621 |
∴ So the LCM of the given numbers is 2 x 292 x 3621 = 2114664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2114664
Therefore, the GCF of Fractions 9467/584,2764/7242 is 1/2114664
Least Common Multiple of 584,7242 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 584,7242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,7242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(584,7242) x common factors =2 x 1 = 2
LCM(584,7242) = ( 584 × 7242 ) / 2
LCM(584,7242) = 4229328 / 2
LCM(584,7242) = 2114664
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FAQs on GCF of Fractions of 9467/584, 2764/7242
1. What is the HCF of 9467,2764?
The HCF of 9467,2764 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 9467/584, 2764/7242?
Answer: GCF of Numerators as per given numbers 9467/584, 2764/7242 is
GCF of Numerators i.e. for 9467,2764 is 1
LCM of denominators i.e. for 584,7242 is 2114664.
Thus, GCF of Fractions is 1/2114664.Finally, GCF of Fractions for 9467/584, 2764/7242 is 1/2114664.