GCF of 7387/136, 7125/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7387/136, 7125/448 i.e 1/7616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7387/136, 7125/448.
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 7387/136,7125/448?
Given fractions are 7387/136,7125/448
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 7387/136,7125/448, numerators are 7387,7125
Denominators are 136,448
The GCF of 7387,7125 is 1 .
LCM of 136,448 is 7616.
The greatest common factor of 7387/136,7125/448 = [GCF of 7387,7125]/[LCM of 136,448]= 1/7616
Therefore, the GCF of 7387/136,7125/448 is 1/7616.
To find the highest common factor of 7387,7125, we have to find the factors of both numbers and list the highest common factor.
The factors of 7387 are 1, 83, 89, 7387
The factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125
The HCF of 7387,7125 is 1.
Lets's calculate GCF of 7387,7125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7387,7125 By Matching Biggest Common Factor Method
Now, list down the factors of 7387
:1,83,89,7387
Now, list down the factors of 7125
:1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125
Greatest Common Factor
We found the factors 7387,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 7387,7125 is 1.
Lets's calculate LCM of 136,448
| 2 | 136, 448 |
| 2 | 68, 224 |
| 2 | 34, 112 |
| 17, 56 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 56 = 7616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7616
Therefore, the GCF of Fractions 7387/136,7125/448 is 1/7616
Least Common Multiple of 136,448 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 136,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,448) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(136,448) x common factors =8 x 1 = 8
LCM(136,448) = ( 136 × 448 ) / 8
LCM(136,448) = 60928 / 8
LCM(136,448) = 7616
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FAQs on GCF of Fractions of 7387/136, 7125/448
1. What is the HCF of 7387,7125?
The HCF of 7387,7125 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 7387/136, 7125/448?
Answer: GCF of Numerators as per given numbers 7387/136, 7125/448 is
GCF of Numerators i.e. for 7387,7125 is 1
LCM of denominators i.e. for 136,448 is 7616.
Thus, GCF of Fractions is 1/7616.Finally, GCF of Fractions for 7387/136, 7125/448 is 1/7616.