GCF of 5262/207, 5939/435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5262/207, 5939/435 i.e 1/30015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5262/207, 5939/435.
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 5262/207,5939/435?
Given fractions are 5262/207,5939/435
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 5262/207,5939/435, numerators are 5262,5939
Denominators are 207,435
The GCF of 5262,5939 is 1 .
LCM of 207,435 is 30015.
The greatest common factor of 5262/207,5939/435 = [GCF of 5262,5939]/[LCM of 207,435]= 1/30015
Therefore, the GCF of 5262/207,5939/435 is 1/30015.
To find the highest common factor of 5262,5939, we have to find the factors of both numbers and list the highest common factor.
The factors of 5262 are 1, 2, 3, 6, 877, 1754, 2631, 5262
The factors of 5939 are 1, 5939
The HCF of 5262,5939 is 1.
Lets's calculate GCF of 5262,5939
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5262,5939 By Matching Biggest Common Factor Method
Now, list down the factors of 5262
:1,2,3,6,877,1754,2631,5262
Now, list down the factors of 5939
:1,5939
Greatest Common Factor
We found the factors 5262,5939 . The biggest common factor number is the GCF number.
So the greatest common factor 5262,5939 is 1.
Lets's calculate LCM of 207,435
| 3 | 207, 435 |
| 69, 145 |
∴ So the LCM of the given numbers is 3 x 69 x 145 = 30015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30015
Therefore, the GCF of Fractions 5262/207,5939/435 is 1/30015
Least Common Multiple of 207,435 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 207,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,435) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(207,435) x common factors =3 x 1 = 3
LCM(207,435) = ( 207 × 435 ) / 3
LCM(207,435) = 90045 / 3
LCM(207,435) = 30015
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FAQs on GCF of Fractions of 5262/207, 5939/435
1. What is the HCF of 5262,5939?
The HCF of 5262,5939 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 5262/207, 5939/435?
Answer: GCF of Numerators as per given numbers 5262/207, 5939/435 is
GCF of Numerators i.e. for 5262,5939 is 1
LCM of denominators i.e. for 207,435 is 30015.
Thus, GCF of Fractions is 1/30015.Finally, GCF of Fractions for 5262/207, 5939/435 is 1/30015.