GCF of 6987/828, 3630/9580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6987/828, 3630/9580 i.e 3/1983060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6987/828, 3630/9580.
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 6987/828,3630/9580?
Given fractions are 6987/828,3630/9580
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 6987/828,3630/9580, numerators are 6987,3630
Denominators are 828,9580
The GCF of 6987,3630 is 3 .
LCM of 828,9580 is 1983060.
The greatest common factor of 6987/828,3630/9580 = [GCF of 6987,3630]/[LCM of 828,9580]= 3/1983060
Therefore, the GCF of 6987/828,3630/9580 is 3/1983060.
To find the highest common factor of 6987,3630, we have to find the factors of both numbers and list the highest common factor.
The factors of 6987 are 1, 3, 17, 51, 137, 411, 2329, 6987
The factors of 3630 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630
The HCF of 6987,3630 is 3.
Lets's calculate GCF of 6987,3630
| 3 | 6987, 3630 |
| 2329, 1210 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6987,3630 By Matching Biggest Common Factor Method
Now, list down the factors of 6987
:1,3,17,51,137,411,2329,6987
Now, list down the factors of 3630
:1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630
Greatest Common Factor
We found the factors 6987,3630 . The biggest common factor number is the GCF number.
So the greatest common factor 6987,3630 is 3.
Lets's calculate LCM of 828,9580
| 2 | 828, 9580 |
| 2 | 414, 4790 |
| 207, 2395 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 2395 = 1983060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1983060
Therefore, the GCF of Fractions 6987/828,3630/9580 is 3/1983060
Least Common Multiple of 828,9580 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 828,9580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,9580) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,9580) x common factors =4 x 1 = 4
LCM(828,9580) = ( 828 × 9580 ) / 4
LCM(828,9580) = 7932240 / 4
LCM(828,9580) = 1983060
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FAQs on GCF of Fractions of 6987/828, 3630/9580
1. What is the HCF of 6987,3630?
The HCF of 6987,3630 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 6987/828, 3630/9580?
Answer: GCF of Numerators as per given numbers 6987/828, 3630/9580 is
GCF of Numerators i.e. for 6987,3630 is 3
LCM of denominators i.e. for 828,9580 is 1983060.
Thus, GCF of Fractions is 3/1983060.Finally, GCF of Fractions for 6987/828, 3630/9580 is 3/1983060.