GCF of 525/491, 4120/4293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 525/491, 4120/4293 i.e 5/2107863 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/491, 4120/4293.
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 525/491,4120/4293?
Given fractions are 525/491,4120/4293
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 525/491,4120/4293, numerators are 525,4120
Denominators are 491,4293
The GCF of 525,4120 is 5 .
LCM of 491,4293 is 2107863.
The greatest common factor of 525/491,4120/4293 = [GCF of 525,4120]/[LCM of 491,4293]= 5/2107863
Therefore, the GCF of 525/491,4120/4293 is 5/2107863.
To find the highest common factor of 525,4120, 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 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120
The HCF of 525,4120 is 5.
Lets's calculate GCF of 525,4120
| 5 | 525, 4120 |
| 105, 824 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 525,4120 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 4120
:1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Greatest Common Factor
We found the factors 525,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 525,4120 is 5.
Lets's calculate LCM of 491,4293
Given numbers has no common factors except 1. So, there LCM is their product i.e 2107863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2107863
Therefore, the GCF of Fractions 525/491,4120/4293 is 5/2107863
Least Common Multiple of 491,4293 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 491,4293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,4293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,4293) x common factors =1 x 1 = 1
LCM(491,4293) = ( 491 × 4293 ) / 1
LCM(491,4293) = 2107863 / 1
LCM(491,4293) = 2107863
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FAQs on GCF of Fractions of 525/491, 4120/4293
1. What is the HCF of 525,4120?
The HCF of 525,4120 is 5
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 525/491, 4120/4293?
Answer: GCF of Numerators as per given numbers 525/491, 4120/4293 is
GCF of Numerators i.e. for 525,4120 is 5
LCM of denominators i.e. for 491,4293 is 2107863.
Thus, GCF of Fractions is 5/2107863.Finally, GCF of Fractions for 525/491, 4120/4293 is 5/2107863.