GCF of 6518/630, 1328/6984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6518/630, 1328/6984 i.e 2/244440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6518/630, 1328/6984.
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 6518/630,1328/6984?
Given fractions are 6518/630,1328/6984
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 6518/630,1328/6984, numerators are 6518,1328
Denominators are 630,6984
The GCF of 6518,1328 is 2 .
LCM of 630,6984 is 244440.
The greatest common factor of 6518/630,1328/6984 = [GCF of 6518,1328]/[LCM of 630,6984]= 2/244440
Therefore, the GCF of 6518/630,1328/6984 is 2/244440.
To find the highest common factor of 6518,1328, we have to find the factors of both numbers and list the highest common factor.
The factors of 6518 are 1, 2, 3259, 6518
The factors of 1328 are 1, 2, 4, 8, 16, 83, 166, 332, 664, 1328
The HCF of 6518,1328 is 2.
Lets's calculate GCF of 6518,1328
| 2 | 6518, 1328 |
| 3259, 664 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6518,1328 By Matching Biggest Common Factor Method
Now, list down the factors of 6518
:1,2,3259,6518
Now, list down the factors of 1328
:1,2,4,8,16,83,166,332,664,1328
Greatest Common Factor
We found the factors 6518,1328 . The biggest common factor number is the GCF number.
So the greatest common factor 6518,1328 is 2.
Lets's calculate LCM of 630,6984
| 2 | 630, 6984 |
| 3 | 315, 3492 |
| 3 | 105, 1164 |
| 35, 388 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 35 x 388 = 244440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/244440
Therefore, the GCF of Fractions 6518/630,1328/6984 is 2/244440
Least Common Multiple of 630,6984 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 630,6984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,6984) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(630,6984) x common factors =18 x 1 = 18
LCM(630,6984) = ( 630 × 6984 ) / 18
LCM(630,6984) = 4399920 / 18
LCM(630,6984) = 244440
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FAQs on GCF of Fractions of 6518/630, 1328/6984
1. What is the HCF of 6518,1328?
The HCF of 6518,1328 is 2
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 6518/630, 1328/6984?
Answer: GCF of Numerators as per given numbers 6518/630, 1328/6984 is
GCF of Numerators i.e. for 6518,1328 is 2
LCM of denominators i.e. for 630,6984 is 244440.
Thus, GCF of Fractions is 2/244440.Finally, GCF of Fractions for 6518/630, 1328/6984 is 2/244440.