GCF of 5979/341, 6240/1656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5979/341, 6240/1656 i.e 3/564696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5979/341, 6240/1656.
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 5979/341,6240/1656?
Given fractions are 5979/341,6240/1656
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 5979/341,6240/1656, numerators are 5979,6240
Denominators are 341,1656
The GCF of 5979,6240 is 3 .
LCM of 341,1656 is 564696.
The greatest common factor of 5979/341,6240/1656 = [GCF of 5979,6240]/[LCM of 341,1656]= 3/564696
Therefore, the GCF of 5979/341,6240/1656 is 3/564696.
To find the highest common factor of 5979,6240, we have to find the factors of both numbers and list the highest common factor.
The factors of 5979 are 1, 3, 1993, 5979
The factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240
The HCF of 5979,6240 is 3.
Lets's calculate GCF of 5979,6240
| 3 | 5979, 6240 |
| 1993, 2080 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5979,6240 By Matching Biggest Common Factor Method
Now, list down the factors of 5979
:1,3,1993,5979
Now, list down the factors of 6240
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,32,39,40,48,52,60,65,78,80,96,104,120,130,156,160,195,208,240,260,312,390,416,480,520,624,780,1040,1248,1560,2080,3120,6240
Greatest Common Factor
We found the factors 5979,6240 . The biggest common factor number is the GCF number.
So the greatest common factor 5979,6240 is 3.
Lets's calculate LCM of 341,1656
Given numbers has no common factors except 1. So, there LCM is their product i.e 564696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/564696
Therefore, the GCF of Fractions 5979/341,6240/1656 is 3/564696
Least Common Multiple of 341,1656 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 341,1656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,1656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,1656) x common factors =1 x 1 = 1
LCM(341,1656) = ( 341 × 1656 ) / 1
LCM(341,1656) = 564696 / 1
LCM(341,1656) = 564696
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FAQs on GCF of Fractions of 5979/341, 6240/1656
1. What is the HCF of 5979,6240?
The HCF of 5979,6240 is 3
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 5979/341, 6240/1656?
Answer: GCF of Numerators as per given numbers 5979/341, 6240/1656 is
GCF of Numerators i.e. for 5979,6240 is 3
LCM of denominators i.e. for 341,1656 is 564696.
Thus, GCF of Fractions is 3/564696.Finally, GCF of Fractions for 5979/341, 6240/1656 is 3/564696.