GCF of 4493/740, 4296/7776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4493/740, 4296/7776 i.e 1/1438560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4493/740, 4296/7776.
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 4493/740,4296/7776?
Given fractions are 4493/740,4296/7776
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 4493/740,4296/7776, numerators are 4493,4296
Denominators are 740,7776
The GCF of 4493,4296 is 1 .
LCM of 740,7776 is 1438560.
The greatest common factor of 4493/740,4296/7776 = [GCF of 4493,4296]/[LCM of 740,7776]= 1/1438560
Therefore, the GCF of 4493/740,4296/7776 is 1/1438560.
To find the highest common factor of 4493,4296, we have to find the factors of both numbers and list the highest common factor.
The factors of 4493 are 1, 4493
The factors of 4296 are 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148, 4296
The HCF of 4493,4296 is 1.
Lets's calculate GCF of 4493,4296
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4493,4296 By Matching Biggest Common Factor Method
Now, list down the factors of 4493
:1,4493
Now, list down the factors of 4296
:1,2,3,4,6,8,12,24,179,358,537,716,1074,1432,2148,4296
Greatest Common Factor
We found the factors 4493,4296 . The biggest common factor number is the GCF number.
So the greatest common factor 4493,4296 is 1.
Lets's calculate LCM of 740,7776
| 2 | 740, 7776 |
| 2 | 370, 3888 |
| 185, 1944 |
∴ So the LCM of the given numbers is 2 x 2 x 185 x 1944 = 1438560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1438560
Therefore, the GCF of Fractions 4493/740,4296/7776 is 1/1438560
Least Common Multiple of 740,7776 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 740,7776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,7776) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(740,7776) x common factors =4 x 1 = 4
LCM(740,7776) = ( 740 × 7776 ) / 4
LCM(740,7776) = 5754240 / 4
LCM(740,7776) = 1438560
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FAQs on GCF of Fractions of 4493/740, 4296/7776
1. What is the HCF of 4493,4296?
The HCF of 4493,4296 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 4493/740, 4296/7776?
Answer: GCF of Numerators as per given numbers 4493/740, 4296/7776 is
GCF of Numerators i.e. for 4493,4296 is 1
LCM of denominators i.e. for 740,7776 is 1438560.
Thus, GCF of Fractions is 1/1438560.Finally, GCF of Fractions for 4493/740, 4296/7776 is 1/1438560.