GCF of 9001/624, 7524/901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9001/624, 7524/901 i.e 1/562224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9001/624, 7524/901.
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 9001/624,7524/901?
Given fractions are 9001/624,7524/901
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 9001/624,7524/901, numerators are 9001,7524
Denominators are 624,901
The GCF of 9001,7524 is 1 .
LCM of 624,901 is 562224.
The greatest common factor of 9001/624,7524/901 = [GCF of 9001,7524]/[LCM of 624,901]= 1/562224
Therefore, the GCF of 9001/624,7524/901 is 1/562224.
To find the highest common factor of 9001,7524, we have to find the factors of both numbers and list the highest common factor.
The factors of 9001 are 1, 9001
The factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524
The HCF of 9001,7524 is 1.
Lets's calculate GCF of 9001,7524
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9001,7524 By Matching Biggest Common Factor Method
Now, list down the factors of 9001
:1,9001
Now, list down the factors of 7524
:1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524
Greatest Common Factor
We found the factors 9001,7524 . The biggest common factor number is the GCF number.
So the greatest common factor 9001,7524 is 1.
Lets's calculate LCM of 624,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 562224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/562224
Therefore, the GCF of Fractions 9001/624,7524/901 is 1/562224
Least Common Multiple of 624,901 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 624,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,901) x common factors =1 x 1 = 1
LCM(624,901) = ( 624 × 901 ) / 1
LCM(624,901) = 562224 / 1
LCM(624,901) = 562224
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FAQs on GCF of Fractions of 9001/624, 7524/901
1. What is the HCF of 9001,7524?
The HCF of 9001,7524 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 9001/624, 7524/901?
Answer: GCF of Numerators as per given numbers 9001/624, 7524/901 is
GCF of Numerators i.e. for 9001,7524 is 1
LCM of denominators i.e. for 624,901 is 562224.
Thus, GCF of Fractions is 1/562224.Finally, GCF of Fractions for 9001/624, 7524/901 is 1/562224.