GCF of 5274/705, 6916/2316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5274/705, 6916/2316 i.e 2/544260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5274/705, 6916/2316.
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 5274/705,6916/2316?
Given fractions are 5274/705,6916/2316
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 5274/705,6916/2316, numerators are 5274,6916
Denominators are 705,2316
The GCF of 5274,6916 is 2 .
LCM of 705,2316 is 544260.
The greatest common factor of 5274/705,6916/2316 = [GCF of 5274,6916]/[LCM of 705,2316]= 2/544260
Therefore, the GCF of 5274/705,6916/2316 is 2/544260.
To find the highest common factor of 5274,6916, we have to find the factors of both numbers and list the highest common factor.
The factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274
The factors of 6916 are 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916
The HCF of 5274,6916 is 2.
Lets's calculate GCF of 5274,6916
| 2 | 5274, 6916 |
| 2637, 3458 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5274,6916 By Matching Biggest Common Factor Method
Now, list down the factors of 5274
:1,2,3,6,9,18,293,586,879,1758,2637,5274
Now, list down the factors of 6916
:1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916
Greatest Common Factor
We found the factors 5274,6916 . The biggest common factor number is the GCF number.
So the greatest common factor 5274,6916 is 2.
Lets's calculate LCM of 705,2316
| 3 | 705, 2316 |
| 235, 772 |
∴ So the LCM of the given numbers is 3 x 235 x 772 = 544260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/544260
Therefore, the GCF of Fractions 5274/705,6916/2316 is 2/544260
Least Common Multiple of 705,2316 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 705,2316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,2316) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(705,2316) x common factors =3 x 1 = 3
LCM(705,2316) = ( 705 × 2316 ) / 3
LCM(705,2316) = 1632780 / 3
LCM(705,2316) = 544260
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FAQs on GCF of Fractions of 5274/705, 6916/2316
1. What is the HCF of 5274,6916?
The HCF of 5274,6916 is 2
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 5274/705, 6916/2316?
Answer: GCF of Numerators as per given numbers 5274/705, 6916/2316 is
GCF of Numerators i.e. for 5274,6916 is 2
LCM of denominators i.e. for 705,2316 is 544260.
Thus, GCF of Fractions is 2/544260.Finally, GCF of Fractions for 5274/705, 6916/2316 is 2/544260.