GCF of 6244/168, 6840/2614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6244/168, 6840/2614 i.e 4/219576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6244/168, 6840/2614.
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 6244/168,6840/2614?
Given fractions are 6244/168,6840/2614
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 6244/168,6840/2614, numerators are 6244,6840
Denominators are 168,2614
The GCF of 6244,6840 is 4 .
LCM of 168,2614 is 219576.
The greatest common factor of 6244/168,6840/2614 = [GCF of 6244,6840]/[LCM of 168,2614]= 4/219576
Therefore, the GCF of 6244/168,6840/2614 is 4/219576.
To find the highest common factor of 6244,6840, we have to find the factors of both numbers and list the highest common factor.
The factors of 6244 are 1, 2, 4, 7, 14, 28, 223, 446, 892, 1561, 3122, 6244
The factors of 6840 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 570, 684, 760, 855, 1140, 1368, 1710, 2280, 3420, 6840
The HCF of 6244,6840 is 4.
Lets's calculate GCF of 6244,6840
| 2 | 6244, 6840 |
| 2 | 3122, 3420 |
| 1561, 1710 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6244,6840 By Matching Biggest Common Factor Method
Now, list down the factors of 6244
:1,2,4,7,14,28,223,446,892,1561,3122,6244
Now, list down the factors of 6840
:1,2,3,4,5,6,8,9,10,12,15,18,19,20,24,30,36,38,40,45,57,60,72,76,90,95,114,120,152,171,180,190,228,285,342,360,380,456,570,684,760,855,1140,1368,1710,2280,3420,6840
Greatest Common Factor
We found the factors 6244,6840 . The biggest common factor number is the GCF number.
So the greatest common factor 6244,6840 is 4.
Lets's calculate LCM of 168,2614
| 2 | 168, 2614 |
| 84, 1307 |
∴ So the LCM of the given numbers is 2 x 84 x 1307 = 219576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/219576
Therefore, the GCF of Fractions 6244/168,6840/2614 is 4/219576
Least Common Multiple of 168,2614 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 168,2614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,2614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,2614) x common factors =2 x 1 = 2
LCM(168,2614) = ( 168 × 2614 ) / 2
LCM(168,2614) = 439152 / 2
LCM(168,2614) = 219576
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6244/168, 6840/2614
1. What is the HCF of 6244,6840?
The HCF of 6244,6840 is 4
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 6244/168, 6840/2614?
Answer: GCF of Numerators as per given numbers 6244/168, 6840/2614 is
GCF of Numerators i.e. for 6244,6840 is 4
LCM of denominators i.e. for 168,2614 is 219576.
Thus, GCF of Fractions is 4/219576.Finally, GCF of Fractions for 6244/168, 6840/2614 is 4/219576.