GCF of 7506/725, 9132/4978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7506/725, 9132/4978 i.e 6/3609050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7506/725, 9132/4978.
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 7506/725,9132/4978?
Given fractions are 7506/725,9132/4978
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 7506/725,9132/4978, numerators are 7506,9132
Denominators are 725,4978
The GCF of 7506,9132 is 6 .
LCM of 725,4978 is 3609050.
The greatest common factor of 7506/725,9132/4978 = [GCF of 7506,9132]/[LCM of 725,4978]= 6/3609050
Therefore, the GCF of 7506/725,9132/4978 is 6/3609050.
To find the highest common factor of 7506,9132, we have to find the factors of both numbers and list the highest common factor.
The factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506
The factors of 9132 are 1, 2, 3, 4, 6, 12, 761, 1522, 2283, 3044, 4566, 9132
The HCF of 7506,9132 is 6.
Lets's calculate GCF of 7506,9132
| 2 | 7506, 9132 |
| 3 | 3753, 4566 |
| 1251, 1522 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7506,9132 By Matching Biggest Common Factor Method
Now, list down the factors of 7506
:1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506
Now, list down the factors of 9132
:1,2,3,4,6,12,761,1522,2283,3044,4566,9132
Greatest Common Factor
We found the factors 7506,9132 . The biggest common factor number is the GCF number.
So the greatest common factor 7506,9132 is 6.
Lets's calculate LCM of 725,4978
Given numbers has no common factors except 1. So, there LCM is their product i.e 3609050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3609050
Therefore, the GCF of Fractions 7506/725,9132/4978 is 6/3609050
Least Common Multiple of 725,4978 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 725,4978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,4978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,4978) x common factors =1 x 1 = 1
LCM(725,4978) = ( 725 × 4978 ) / 1
LCM(725,4978) = 3609050 / 1
LCM(725,4978) = 3609050
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FAQs on GCF of Fractions of 7506/725, 9132/4978
1. What is the HCF of 7506,9132?
The HCF of 7506,9132 is 6
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 7506/725, 9132/4978?
Answer: GCF of Numerators as per given numbers 7506/725, 9132/4978 is
GCF of Numerators i.e. for 7506,9132 is 6
LCM of denominators i.e. for 725,4978 is 3609050.
Thus, GCF of Fractions is 6/3609050.Finally, GCF of Fractions for 7506/725, 9132/4978 is 6/3609050.