GCF of 476/115, 525/726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 476/115, 525/726 i.e 7/83490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/115, 525/726.
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 476/115,525/726?
Given fractions are 476/115,525/726
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 476/115,525/726, numerators are 476,525
Denominators are 115,726
The GCF of 476,525 is 7 .
LCM of 115,726 is 83490.
The greatest common factor of 476/115,525/726 = [GCF of 476,525]/[LCM of 115,726]= 7/83490
Therefore, the GCF of 476/115,525/726 is 7/83490.
To find the highest common factor of 476,525, we have to find the factors of both numbers and list the highest common factor.
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 476,525 is 7.
Lets's calculate GCF of 476,525
| 7 | 476, 525 |
| 68, 75 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 476,525 By Matching Biggest Common Factor Method
Now, list down the factors of 476
:1,2,4,7,14,17,28,34,68,119,238,476
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 476,525 . The biggest common factor number is the GCF number.
So the greatest common factor 476,525 is 7.
Lets's calculate LCM of 115,726
Given numbers has no common factors except 1. So, there LCM is their product i.e 83490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/83490
Therefore, the GCF of Fractions 476/115,525/726 is 7/83490
Least Common Multiple of 115,726 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 115,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,726) x common factors =1 x 1 = 1
LCM(115,726) = ( 115 × 726 ) / 1
LCM(115,726) = 83490 / 1
LCM(115,726) = 83490
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 476/115, 525/726
1. What is the HCF of 476,525?
The HCF of 476,525 is 7
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 476/115, 525/726?
Answer: GCF of Numerators as per given numbers 476/115, 525/726 is
GCF of Numerators i.e. for 476,525 is 7
LCM of denominators i.e. for 115,726 is 83490.
Thus, GCF of Fractions is 7/83490.Finally, GCF of Fractions for 476/115, 525/726 is 7/83490.