GCF of 5364/742, 1860/3408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5364/742, 1860/3408 i.e 12/1264368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5364/742, 1860/3408.
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 5364/742,1860/3408?
Given fractions are 5364/742,1860/3408
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 5364/742,1860/3408, numerators are 5364,1860
Denominators are 742,3408
The GCF of 5364,1860 is 12 .
LCM of 742,3408 is 1264368.
The greatest common factor of 5364/742,1860/3408 = [GCF of 5364,1860]/[LCM of 742,3408]= 12/1264368
Therefore, the GCF of 5364/742,1860/3408 is 12/1264368.
To find the highest common factor of 5364,1860, we have to find the factors of both numbers and list the highest common factor.
The factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364
The factors of 1860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860
The HCF of 5364,1860 is 12.
Lets's calculate GCF of 5364,1860
| 2 | 5364, 1860 |
| 2 | 2682, 930 |
| 3 | 1341, 465 |
| 447, 155 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5364,1860 By Matching Biggest Common Factor Method
Now, list down the factors of 5364
:1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364
Now, list down the factors of 1860
:1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860
Greatest Common Factor
We found the factors 5364,1860 . The biggest common factor number is the GCF number.
So the greatest common factor 5364,1860 is 12.
Lets's calculate LCM of 742,3408
| 2 | 742, 3408 |
| 371, 1704 |
∴ So the LCM of the given numbers is 2 x 371 x 1704 = 1264368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1264368
Therefore, the GCF of Fractions 5364/742,1860/3408 is 12/1264368
Least Common Multiple of 742,3408 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 742,3408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,3408) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,3408) x common factors =2 x 1 = 2
LCM(742,3408) = ( 742 × 3408 ) / 2
LCM(742,3408) = 2528736 / 2
LCM(742,3408) = 1264368
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FAQs on GCF of Fractions of 5364/742, 1860/3408
1. What is the HCF of 5364,1860?
The HCF of 5364,1860 is 12
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 5364/742, 1860/3408?
Answer: GCF of Numerators as per given numbers 5364/742, 1860/3408 is
GCF of Numerators i.e. for 5364,1860 is 12
LCM of denominators i.e. for 742,3408 is 1264368.
Thus, GCF of Fractions is 12/1264368.Finally, GCF of Fractions for 5364/742, 1860/3408 is 12/1264368.