GCF of 5387/942, 8262/720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5387/942, 8262/720 i.e 1/113040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5387/942, 8262/720.
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 5387/942,8262/720?
Given fractions are 5387/942,8262/720
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 5387/942,8262/720, numerators are 5387,8262
Denominators are 942,720
The GCF of 5387,8262 is 1 .
LCM of 942,720 is 113040.
The greatest common factor of 5387/942,8262/720 = [GCF of 5387,8262]/[LCM of 942,720]= 1/113040
Therefore, the GCF of 5387/942,8262/720 is 1/113040.
To find the highest common factor of 5387,8262, we have to find the factors of both numbers and list the highest common factor.
The factors of 5387 are 1, 5387
The factors of 8262 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262
The HCF of 5387,8262 is 1.
Lets's calculate GCF of 5387,8262
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5387,8262 By Matching Biggest Common Factor Method
Now, list down the factors of 5387
:1,5387
Now, list down the factors of 8262
:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262
Greatest Common Factor
We found the factors 5387,8262 . The biggest common factor number is the GCF number.
So the greatest common factor 5387,8262 is 1.
Lets's calculate LCM of 942,720
| 2 | 942, 720 |
| 3 | 471, 360 |
| 157, 120 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 120 = 113040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113040
Therefore, the GCF of Fractions 5387/942,8262/720 is 1/113040
Least Common Multiple of 942,720 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 942,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,720) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,720) x common factors =6 x 1 = 6
LCM(942,720) = ( 942 × 720 ) / 6
LCM(942,720) = 678240 / 6
LCM(942,720) = 113040
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FAQs on GCF of Fractions of 5387/942, 8262/720
1. What is the HCF of 5387,8262?
The HCF of 5387,8262 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 5387/942, 8262/720?
Answer: GCF of Numerators as per given numbers 5387/942, 8262/720 is
GCF of Numerators i.e. for 5387,8262 is 1
LCM of denominators i.e. for 942,720 is 113040.
Thus, GCF of Fractions is 1/113040.Finally, GCF of Fractions for 5387/942, 8262/720 is 1/113040.