GCF of 7499/604, 9024/9695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7499/604, 9024/9695 i.e 1/5855780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7499/604, 9024/9695.
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 7499/604,9024/9695?
Given fractions are 7499/604,9024/9695
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 7499/604,9024/9695, numerators are 7499,9024
Denominators are 604,9695
The GCF of 7499,9024 is 1 .
LCM of 604,9695 is 5855780.
The greatest common factor of 7499/604,9024/9695 = [GCF of 7499,9024]/[LCM of 604,9695]= 1/5855780
Therefore, the GCF of 7499/604,9024/9695 is 1/5855780.
To find the highest common factor of 7499,9024, we have to find the factors of both numbers and list the highest common factor.
The factors of 7499 are 1, 7499
The factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024
The HCF of 7499,9024 is 1.
Lets's calculate GCF of 7499,9024
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7499,9024 By Matching Biggest Common Factor Method
Now, list down the factors of 7499
:1,7499
Now, list down the factors of 9024
:1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024
Greatest Common Factor
We found the factors 7499,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 7499,9024 is 1.
Lets's calculate LCM of 604,9695
Given numbers has no common factors except 1. So, there LCM is their product i.e 5855780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5855780
Therefore, the GCF of Fractions 7499/604,9024/9695 is 1/5855780
Least Common Multiple of 604,9695 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 604,9695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,9695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(604,9695) x common factors =1 x 1 = 1
LCM(604,9695) = ( 604 × 9695 ) / 1
LCM(604,9695) = 5855780 / 1
LCM(604,9695) = 5855780
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FAQs on GCF of Fractions of 7499/604, 9024/9695
1. What is the HCF of 7499,9024?
The HCF of 7499,9024 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 7499/604, 9024/9695?
Answer: GCF of Numerators as per given numbers 7499/604, 9024/9695 is
GCF of Numerators i.e. for 7499,9024 is 1
LCM of denominators i.e. for 604,9695 is 5855780.
Thus, GCF of Fractions is 1/5855780.Finally, GCF of Fractions for 7499/604, 9024/9695 is 1/5855780.