GCF of 5995/780, 5214/4458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5995/780, 5214/4458 i.e 11/579540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5995/780, 5214/4458.
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 5995/780,5214/4458?
Given fractions are 5995/780,5214/4458
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 5995/780,5214/4458, numerators are 5995,5214
Denominators are 780,4458
The GCF of 5995,5214 is 11 .
LCM of 780,4458 is 579540.
The greatest common factor of 5995/780,5214/4458 = [GCF of 5995,5214]/[LCM of 780,4458]= 11/579540
Therefore, the GCF of 5995/780,5214/4458 is 11/579540.
To find the highest common factor of 5995,5214, we have to find the factors of both numbers and list the highest common factor.
The factors of 5995 are 1, 5, 11, 55, 109, 545, 1199, 5995
The factors of 5214 are 1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214
The HCF of 5995,5214 is 11.
Lets's calculate GCF of 5995,5214
| 11 | 5995, 5214 |
| 545, 474 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5995,5214 By Matching Biggest Common Factor Method
Now, list down the factors of 5995
:1,5,11,55,109,545,1199,5995
Now, list down the factors of 5214
:1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Greatest Common Factor
We found the factors 5995,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 5995,5214 is 11.
Lets's calculate LCM of 780,4458
| 2 | 780, 4458 |
| 3 | 390, 2229 |
| 130, 743 |
∴ So the LCM of the given numbers is 2 x 3 x 130 x 743 = 579540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/579540
Therefore, the GCF of Fractions 5995/780,5214/4458 is 11/579540
Least Common Multiple of 780,4458 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 780,4458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,4458) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(780,4458) x common factors =6 x 1 = 6
LCM(780,4458) = ( 780 × 4458 ) / 6
LCM(780,4458) = 3477240 / 6
LCM(780,4458) = 579540
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FAQs on GCF of Fractions of 5995/780, 5214/4458
1. What is the HCF of 5995,5214?
The HCF of 5995,5214 is 11
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 5995/780, 5214/4458?
Answer: GCF of Numerators as per given numbers 5995/780, 5214/4458 is
GCF of Numerators i.e. for 5995,5214 is 11
LCM of denominators i.e. for 780,4458 is 579540.
Thus, GCF of Fractions is 11/579540.Finally, GCF of Fractions for 5995/780, 5214/4458 is 11/579540.