GCF of 4344/768, 2214/670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4344/768, 2214/670 i.e 6/257280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4344/768, 2214/670.
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 4344/768,2214/670?
Given fractions are 4344/768,2214/670
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 4344/768,2214/670, numerators are 4344,2214
Denominators are 768,670
The GCF of 4344,2214 is 6 .
LCM of 768,670 is 257280.
The greatest common factor of 4344/768,2214/670 = [GCF of 4344,2214]/[LCM of 768,670]= 6/257280
Therefore, the GCF of 4344/768,2214/670 is 6/257280.
To find the highest common factor of 4344,2214, we have to find the factors of both numbers and list the highest common factor.
The factors of 4344 are 1, 2, 3, 4, 6, 8, 12, 24, 181, 362, 543, 724, 1086, 1448, 2172, 4344
The factors of 2214 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214
The HCF of 4344,2214 is 6.
Lets's calculate GCF of 4344,2214
| 2 | 4344, 2214 |
| 3 | 2172, 1107 |
| 724, 369 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4344,2214 By Matching Biggest Common Factor Method
Now, list down the factors of 4344
:1,2,3,4,6,8,12,24,181,362,543,724,1086,1448,2172,4344
Now, list down the factors of 2214
:1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214
Greatest Common Factor
We found the factors 4344,2214 . The biggest common factor number is the GCF number.
So the greatest common factor 4344,2214 is 6.
Lets's calculate LCM of 768,670
| 2 | 768, 670 |
| 384, 335 |
∴ So the LCM of the given numbers is 2 x 384 x 335 = 257280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/257280
Therefore, the GCF of Fractions 4344/768,2214/670 is 6/257280
Least Common Multiple of 768,670 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 768,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(768,670) x common factors =2 x 1 = 2
LCM(768,670) = ( 768 × 670 ) / 2
LCM(768,670) = 514560 / 2
LCM(768,670) = 257280
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FAQs on GCF of Fractions of 4344/768, 2214/670
1. What is the HCF of 4344,2214?
The HCF of 4344,2214 is 6
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 4344/768, 2214/670?
Answer: GCF of Numerators as per given numbers 4344/768, 2214/670 is
GCF of Numerators i.e. for 4344,2214 is 6
LCM of denominators i.e. for 768,670 is 257280.
Thus, GCF of Fractions is 6/257280.Finally, GCF of Fractions for 4344/768, 2214/670 is 6/257280.