GCF of 6335/122, 3290/2488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6335/122, 3290/2488 i.e 35/151768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6335/122, 3290/2488.
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 6335/122,3290/2488?
Given fractions are 6335/122,3290/2488
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 6335/122,3290/2488, numerators are 6335,3290
Denominators are 122,2488
The GCF of 6335,3290 is 35 .
LCM of 122,2488 is 151768.
The greatest common factor of 6335/122,3290/2488 = [GCF of 6335,3290]/[LCM of 122,2488]= 35/151768
Therefore, the GCF of 6335/122,3290/2488 is 35/151768.
To find the highest common factor of 6335,3290, we have to find the factors of both numbers and list the highest common factor.
The factors of 6335 are 1, 5, 7, 35, 181, 905, 1267, 6335
The factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290
The HCF of 6335,3290 is 35.
Lets's calculate GCF of 6335,3290
| 5 | 6335, 3290 |
| 7 | 1267, 658 |
| 181, 94 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 6335,3290 By Matching Biggest Common Factor Method
Now, list down the factors of 6335
:1,5,7,35,181,905,1267,6335
Now, list down the factors of 3290
:1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290
Greatest Common Factor
We found the factors 6335,3290 . The biggest common factor number is the GCF number.
So the greatest common factor 6335,3290 is 35.
Lets's calculate LCM of 122,2488
| 2 | 122, 2488 |
| 61, 1244 |
∴ So the LCM of the given numbers is 2 x 61 x 1244 = 151768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/151768
Therefore, the GCF of Fractions 6335/122,3290/2488 is 35/151768
Least Common Multiple of 122,2488 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 122,2488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,2488) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,2488) x common factors =2 x 1 = 2
LCM(122,2488) = ( 122 × 2488 ) / 2
LCM(122,2488) = 303536 / 2
LCM(122,2488) = 151768
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FAQs on GCF of Fractions of 6335/122, 3290/2488
1. What is the HCF of 6335,3290?
The HCF of 6335,3290 is 35
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 6335/122, 3290/2488?
Answer: GCF of Numerators as per given numbers 6335/122, 3290/2488 is
GCF of Numerators i.e. for 6335,3290 is 35
LCM of denominators i.e. for 122,2488 is 151768.
Thus, GCF of Fractions is 35/151768.Finally, GCF of Fractions for 6335/122, 3290/2488 is 35/151768.