GCF of 1380/533, 3411/7236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1380/533, 3411/7236 i.e 3/3856788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1380/533, 3411/7236.
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 1380/533,3411/7236?
Given fractions are 1380/533,3411/7236
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 1380/533,3411/7236, numerators are 1380,3411
Denominators are 533,7236
The GCF of 1380,3411 is 3 .
LCM of 533,7236 is 3856788.
The greatest common factor of 1380/533,3411/7236 = [GCF of 1380,3411]/[LCM of 533,7236]= 3/3856788
Therefore, the GCF of 1380/533,3411/7236 is 3/3856788.
To find the highest common factor of 1380,3411, we have to find the factors of both numbers and list the highest common factor.
The factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380
The factors of 3411 are 1, 3, 9, 379, 1137, 3411
The HCF of 1380,3411 is 3.
Lets's calculate GCF of 1380,3411
| 3 | 1380, 3411 |
| 460, 1137 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1380,3411 By Matching Biggest Common Factor Method
Now, list down the factors of 1380
:1,2,3,4,5,6,10,12,15,20,23,30,46,60,69,92,115,138,230,276,345,460,690,1380
Now, list down the factors of 3411
:1,3,9,379,1137,3411
Greatest Common Factor
We found the factors 1380,3411 . The biggest common factor number is the GCF number.
So the greatest common factor 1380,3411 is 3.
Lets's calculate LCM of 533,7236
Given numbers has no common factors except 1. So, there LCM is their product i.e 3856788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3856788
Therefore, the GCF of Fractions 1380/533,3411/7236 is 3/3856788
Least Common Multiple of 533,7236 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 533,7236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,7236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,7236) x common factors =1 x 1 = 1
LCM(533,7236) = ( 533 × 7236 ) / 1
LCM(533,7236) = 3856788 / 1
LCM(533,7236) = 3856788
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FAQs on GCF of Fractions of 1380/533, 3411/7236
1. What is the HCF of 1380,3411?
The HCF of 1380,3411 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 1380/533, 3411/7236?
Answer: GCF of Numerators as per given numbers 1380/533, 3411/7236 is
GCF of Numerators i.e. for 1380,3411 is 3
LCM of denominators i.e. for 533,7236 is 3856788.
Thus, GCF of Fractions is 3/3856788.Finally, GCF of Fractions for 1380/533, 3411/7236 is 3/3856788.