GCF of 9492/688, 5123/3596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9492/688, 5123/3596 i.e 1/618512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9492/688, 5123/3596.
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 9492/688,5123/3596?
Given fractions are 9492/688,5123/3596
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 9492/688,5123/3596, numerators are 9492,5123
Denominators are 688,3596
The GCF of 9492,5123 is 1 .
LCM of 688,3596 is 618512.
The greatest common factor of 9492/688,5123/3596 = [GCF of 9492,5123]/[LCM of 688,3596]= 1/618512
Therefore, the GCF of 9492/688,5123/3596 is 1/618512.
To find the highest common factor of 9492,5123, we have to find the factors of both numbers and list the highest common factor.
The factors of 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492
The factors of 5123 are 1, 47, 109, 5123
The HCF of 9492,5123 is 1.
Lets's calculate GCF of 9492,5123
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9492,5123 By Matching Biggest Common Factor Method
Now, list down the factors of 9492
:1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492
Now, list down the factors of 5123
:1,47,109,5123
Greatest Common Factor
We found the factors 9492,5123 . The biggest common factor number is the GCF number.
So the greatest common factor 9492,5123 is 1.
Lets's calculate LCM of 688,3596
| 2 | 688, 3596 |
| 2 | 344, 1798 |
| 172, 899 |
∴ So the LCM of the given numbers is 2 x 2 x 172 x 899 = 618512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618512
Therefore, the GCF of Fractions 9492/688,5123/3596 is 1/618512
Least Common Multiple of 688,3596 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 688,3596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,3596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(688,3596) x common factors =4 x 1 = 4
LCM(688,3596) = ( 688 × 3596 ) / 4
LCM(688,3596) = 2474048 / 4
LCM(688,3596) = 618512
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FAQs on GCF of Fractions of 9492/688, 5123/3596
1. What is the HCF of 9492,5123?
The HCF of 9492,5123 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 9492/688, 5123/3596?
Answer: GCF of Numerators as per given numbers 9492/688, 5123/3596 is
GCF of Numerators i.e. for 9492,5123 is 1
LCM of denominators i.e. for 688,3596 is 618512.
Thus, GCF of Fractions is 1/618512.Finally, GCF of Fractions for 9492/688, 5123/3596 is 1/618512.