GCF of 7576/162, 7872/118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7576/162, 7872/118 i.e 8/9558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7576/162, 7872/118.
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 7576/162,7872/118?
Given fractions are 7576/162,7872/118
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 7576/162,7872/118, numerators are 7576,7872
Denominators are 162,118
The GCF of 7576,7872 is 8 .
LCM of 162,118 is 9558.
The greatest common factor of 7576/162,7872/118 = [GCF of 7576,7872]/[LCM of 162,118]= 8/9558
Therefore, the GCF of 7576/162,7872/118 is 8/9558.
To find the highest common factor of 7576,7872, we have to find the factors of both numbers and list the highest common factor.
The factors of 7576 are 1, 2, 4, 8, 947, 1894, 3788, 7576
The factors of 7872 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872
The HCF of 7576,7872 is 8.
Lets's calculate GCF of 7576,7872
| 2 | 7576, 7872 |
| 2 | 3788, 3936 |
| 2 | 1894, 1968 |
| 947, 984 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7576,7872 By Matching Biggest Common Factor Method
Now, list down the factors of 7576
:1,2,4,8,947,1894,3788,7576
Now, list down the factors of 7872
:1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872
Greatest Common Factor
We found the factors 7576,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 7576,7872 is 8.
Lets's calculate LCM of 162,118
| 2 | 162, 118 |
| 81, 59 |
∴ So the LCM of the given numbers is 2 x 81 x 59 = 9558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/9558
Therefore, the GCF of Fractions 7576/162,7872/118 is 8/9558
Least Common Multiple of 162,118 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 162,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,118) x common factors =2 x 1 = 2
LCM(162,118) = ( 162 × 118 ) / 2
LCM(162,118) = 19116 / 2
LCM(162,118) = 9558
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FAQs on GCF of Fractions of 7576/162, 7872/118
1. What is the HCF of 7576,7872?
The HCF of 7576,7872 is 8
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 7576/162, 7872/118?
Answer: GCF of Numerators as per given numbers 7576/162, 7872/118 is
GCF of Numerators i.e. for 7576,7872 is 8
LCM of denominators i.e. for 162,118 is 9558.
Thus, GCF of Fractions is 8/9558.Finally, GCF of Fractions for 7576/162, 7872/118 is 8/9558.