GCF of 525/182, 7578/838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 525/182, 7578/838 i.e 3/76258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/182, 7578/838.
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 525/182,7578/838?
Given fractions are 525/182,7578/838
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 525/182,7578/838, numerators are 525,7578
Denominators are 182,838
The GCF of 525,7578 is 3 .
LCM of 182,838 is 76258.
The greatest common factor of 525/182,7578/838 = [GCF of 525,7578]/[LCM of 182,838]= 3/76258
Therefore, the GCF of 525/182,7578/838 is 3/76258.
To find the highest common factor of 525,7578, we have to find the factors of both numbers and list the highest common factor.
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The factors of 7578 are 1, 2, 3, 6, 9, 18, 421, 842, 1263, 2526, 3789, 7578
The HCF of 525,7578 is 3.
Lets's calculate GCF of 525,7578
| 3 | 525, 7578 |
| 175, 2526 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 525,7578 By Matching Biggest Common Factor Method
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Now, list down the factors of 7578
:1,2,3,6,9,18,421,842,1263,2526,3789,7578
Greatest Common Factor
We found the factors 525,7578 . The biggest common factor number is the GCF number.
So the greatest common factor 525,7578 is 3.
Lets's calculate LCM of 182,838
| 2 | 182, 838 |
| 91, 419 |
∴ So the LCM of the given numbers is 2 x 91 x 419 = 76258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/76258
Therefore, the GCF of Fractions 525/182,7578/838 is 3/76258
Least Common Multiple of 182,838 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 182,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,838) x common factors =2 x 1 = 2
LCM(182,838) = ( 182 × 838 ) / 2
LCM(182,838) = 152516 / 2
LCM(182,838) = 76258
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FAQs on GCF of Fractions of 525/182, 7578/838
1. What is the HCF of 525,7578?
The HCF of 525,7578 is 3
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 525/182, 7578/838?
Answer: GCF of Numerators as per given numbers 525/182, 7578/838 is
GCF of Numerators i.e. for 525,7578 is 3
LCM of denominators i.e. for 182,838 is 76258.
Thus, GCF of Fractions is 3/76258.Finally, GCF of Fractions for 525/182, 7578/838 is 3/76258.