GCF of 5076/973, 9012/596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5076/973, 9012/596 i.e 12/579908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5076/973, 9012/596.
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 5076/973,9012/596?
Given fractions are 5076/973,9012/596
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 5076/973,9012/596, numerators are 5076,9012
Denominators are 973,596
The GCF of 5076,9012 is 12 .
LCM of 973,596 is 579908.
The greatest common factor of 5076/973,9012/596 = [GCF of 5076,9012]/[LCM of 973,596]= 12/579908
Therefore, the GCF of 5076/973,9012/596 is 12/579908.
To find the highest common factor of 5076,9012, we have to find the factors of both numbers and list the highest common factor.
The factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076
The factors of 9012 are 1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012
The HCF of 5076,9012 is 12.
Lets's calculate GCF of 5076,9012
| 2 | 5076, 9012 |
| 2 | 2538, 4506 |
| 3 | 1269, 2253 |
| 423, 751 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5076,9012 By Matching Biggest Common Factor Method
Now, list down the factors of 5076
:1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076
Now, list down the factors of 9012
:1,2,3,4,6,12,751,1502,2253,3004,4506,9012
Greatest Common Factor
We found the factors 5076,9012 . The biggest common factor number is the GCF number.
So the greatest common factor 5076,9012 is 12.
Lets's calculate LCM of 973,596
Given numbers has no common factors except 1. So, there LCM is their product i.e 579908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/579908
Therefore, the GCF of Fractions 5076/973,9012/596 is 12/579908
Least Common Multiple of 973,596 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 973,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,596) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,596) x common factors =1 x 1 = 1
LCM(973,596) = ( 973 × 596 ) / 1
LCM(973,596) = 579908 / 1
LCM(973,596) = 579908
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FAQs on GCF of Fractions of 5076/973, 9012/596
1. What is the HCF of 5076,9012?
The HCF of 5076,9012 is 12
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 5076/973, 9012/596?
Answer: GCF of Numerators as per given numbers 5076/973, 9012/596 is
GCF of Numerators i.e. for 5076,9012 is 12
LCM of denominators i.e. for 973,596 is 579908.
Thus, GCF of Fractions is 12/579908.Finally, GCF of Fractions for 5076/973, 9012/596 is 12/579908.