GCF of 9574/924, 5258/8767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9574/924, 5258/8767 i.e 2/736428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9574/924, 5258/8767.
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 9574/924,5258/8767?
Given fractions are 9574/924,5258/8767
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 9574/924,5258/8767, numerators are 9574,5258
Denominators are 924,8767
The GCF of 9574,5258 is 2 .
LCM of 924,8767 is 736428.
The greatest common factor of 9574/924,5258/8767 = [GCF of 9574,5258]/[LCM of 924,8767]= 2/736428
Therefore, the GCF of 9574/924,5258/8767 is 2/736428.
To find the highest common factor of 9574,5258, we have to find the factors of both numbers and list the highest common factor.
The factors of 9574 are 1, 2, 4787, 9574
The factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258
The HCF of 9574,5258 is 2.
Lets's calculate GCF of 9574,5258
| 2 | 9574, 5258 |
| 4787, 2629 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9574,5258 By Matching Biggest Common Factor Method
Now, list down the factors of 9574
:1,2,4787,9574
Now, list down the factors of 5258
:1,2,11,22,239,478,2629,5258
Greatest Common Factor
We found the factors 9574,5258 . The biggest common factor number is the GCF number.
So the greatest common factor 9574,5258 is 2.
Lets's calculate LCM of 924,8767
| 11 | 924, 8767 |
| 84, 797 |
∴ So the LCM of the given numbers is 11 x 84 x 797 = 736428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/736428
Therefore, the GCF of Fractions 9574/924,5258/8767 is 2/736428
Least Common Multiple of 924,8767 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 924,8767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,8767) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(924,8767) x common factors =11 x 1 = 11
LCM(924,8767) = ( 924 × 8767 ) / 11
LCM(924,8767) = 8100708 / 11
LCM(924,8767) = 736428
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FAQs on GCF of Fractions of 9574/924, 5258/8767
1. What is the HCF of 9574,5258?
The HCF of 9574,5258 is 2
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 9574/924, 5258/8767?
Answer: GCF of Numerators as per given numbers 9574/924, 5258/8767 is
GCF of Numerators i.e. for 9574,5258 is 2
LCM of denominators i.e. for 924,8767 is 736428.
Thus, GCF of Fractions is 2/736428.Finally, GCF of Fractions for 9574/924, 5258/8767 is 2/736428.