GCF of 6690/196, 8280/349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6690/196, 8280/349 i.e 30/68404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6690/196, 8280/349.
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 6690/196,8280/349?
Given fractions are 6690/196,8280/349
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 6690/196,8280/349, numerators are 6690,8280
Denominators are 196,349
The GCF of 6690,8280 is 30 .
LCM of 196,349 is 68404.
The greatest common factor of 6690/196,8280/349 = [GCF of 6690,8280]/[LCM of 196,349]= 30/68404
Therefore, the GCF of 6690/196,8280/349 is 30/68404.
To find the highest common factor of 6690,8280, we have to find the factors of both numbers and list the highest common factor.
The factors of 6690 are 1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690
The factors of 8280 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140, 8280
The HCF of 6690,8280 is 30.
Lets's calculate GCF of 6690,8280
| 2 | 6690, 8280 |
| 3 | 3345, 4140 |
| 5 | 1115, 1380 |
| 223, 276 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 6690,8280 By Matching Biggest Common Factor Method
Now, list down the factors of 6690
:1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690
Now, list down the factors of 8280
:1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280
Greatest Common Factor
We found the factors 6690,8280 . The biggest common factor number is the GCF number.
So the greatest common factor 6690,8280 is 30.
Lets's calculate LCM of 196,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 68404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/68404
Therefore, the GCF of Fractions 6690/196,8280/349 is 30/68404
Least Common Multiple of 196,349 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 196,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(196,349) x common factors =1 x 1 = 1
LCM(196,349) = ( 196 × 349 ) / 1
LCM(196,349) = 68404 / 1
LCM(196,349) = 68404
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FAQs on GCF of Fractions of 6690/196, 8280/349
1. What is the HCF of 6690,8280?
The HCF of 6690,8280 is 30
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 6690/196, 8280/349?
Answer: GCF of Numerators as per given numbers 6690/196, 8280/349 is
GCF of Numerators i.e. for 6690,8280 is 30
LCM of denominators i.e. for 196,349 is 68404.
Thus, GCF of Fractions is 30/68404.Finally, GCF of Fractions for 6690/196, 8280/349 is 30/68404.