GCF of 3290/987, 3283/6993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3290/987, 3283/6993 i.e 7/328671 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3290/987, 3283/6993.
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 3290/987,3283/6993?
Given fractions are 3290/987,3283/6993
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 3290/987,3283/6993, numerators are 3290,3283
Denominators are 987,6993
The GCF of 3290,3283 is 7 .
LCM of 987,6993 is 328671.
The greatest common factor of 3290/987,3283/6993 = [GCF of 3290,3283]/[LCM of 987,6993]= 7/328671
Therefore, the GCF of 3290/987,3283/6993 is 7/328671.
To find the highest common factor of 3290,3283, we have to find the factors of both numbers and list the highest common factor.
The factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290
The factors of 3283 are 1, 7, 49, 67, 469, 3283
The HCF of 3290,3283 is 7.
Lets's calculate GCF of 3290,3283
| 7 | 3290, 3283 |
| 470, 469 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3290,3283 By Matching Biggest Common Factor Method
Now, list down the factors of 3290
:1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290
Now, list down the factors of 3283
:1,7,49,67,469,3283
Greatest Common Factor
We found the factors 3290,3283 . The biggest common factor number is the GCF number.
So the greatest common factor 3290,3283 is 7.
Lets's calculate LCM of 987,6993
| 3 | 987, 6993 |
| 7 | 329, 2331 |
| 47, 333 |
∴ So the LCM of the given numbers is 3 x 7 x 47 x 333 = 328671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/328671
Therefore, the GCF of Fractions 3290/987,3283/6993 is 7/328671
Least Common Multiple of 987,6993 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 987,6993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,6993) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(987,6993) x common factors =21 x 1 = 21
LCM(987,6993) = ( 987 × 6993 ) / 21
LCM(987,6993) = 6902091 / 21
LCM(987,6993) = 328671
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FAQs on GCF of Fractions of 3290/987, 3283/6993
1. What is the HCF of 3290,3283?
The HCF of 3290,3283 is 7
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 3290/987, 3283/6993?
Answer: GCF of Numerators as per given numbers 3290/987, 3283/6993 is
GCF of Numerators i.e. for 3290,3283 is 7
LCM of denominators i.e. for 987,6993 is 328671.
Thus, GCF of Fractions is 7/328671.Finally, GCF of Fractions for 3290/987, 3283/6993 is 7/328671.