GCF of 1335/539, 7212/4961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1335/539, 7212/4961 i.e 3/243089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1335/539, 7212/4961.
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 1335/539,7212/4961?
Given fractions are 1335/539,7212/4961
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 1335/539,7212/4961, numerators are 1335,7212
Denominators are 539,4961
The GCF of 1335,7212 is 3 .
LCM of 539,4961 is 243089.
The greatest common factor of 1335/539,7212/4961 = [GCF of 1335,7212]/[LCM of 539,4961]= 3/243089
Therefore, the GCF of 1335/539,7212/4961 is 3/243089.
To find the highest common factor of 1335,7212, we have to find the factors of both numbers and list the highest common factor.
The factors of 1335 are 1, 3, 5, 15, 89, 267, 445, 1335
The factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212
The HCF of 1335,7212 is 3.
Lets's calculate GCF of 1335,7212
| 3 | 1335, 7212 |
| 445, 2404 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1335,7212 By Matching Biggest Common Factor Method
Now, list down the factors of 1335
:1,3,5,15,89,267,445,1335
Now, list down the factors of 7212
:1,2,3,4,6,12,601,1202,1803,2404,3606,7212
Greatest Common Factor
We found the factors 1335,7212 . The biggest common factor number is the GCF number.
So the greatest common factor 1335,7212 is 3.
Lets's calculate LCM of 539,4961
| 11 | 539, 4961 |
| 49, 451 |
∴ So the LCM of the given numbers is 11 x 49 x 451 = 243089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/243089
Therefore, the GCF of Fractions 1335/539,7212/4961 is 3/243089
Least Common Multiple of 539,4961 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 539,4961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,4961) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(539,4961) x common factors =11 x 1 = 11
LCM(539,4961) = ( 539 × 4961 ) / 11
LCM(539,4961) = 2673979 / 11
LCM(539,4961) = 243089
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FAQs on GCF of Fractions of 1335/539, 7212/4961
1. What is the HCF of 1335,7212?
The HCF of 1335,7212 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 1335/539, 7212/4961?
Answer: GCF of Numerators as per given numbers 1335/539, 7212/4961 is
GCF of Numerators i.e. for 1335,7212 is 3
LCM of denominators i.e. for 539,4961 is 243089.
Thus, GCF of Fractions is 3/243089.Finally, GCF of Fractions for 1335/539, 7212/4961 is 3/243089.