GCF of 3980/605, 8460/6853
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3980/605, 8460/6853 i.e 20/376915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3980/605, 8460/6853.
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 3980/605,8460/6853?
Given fractions are 3980/605,8460/6853
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 3980/605,8460/6853, numerators are 3980,8460
Denominators are 605,6853
The GCF of 3980,8460 is 20 .
LCM of 605,6853 is 376915.
The greatest common factor of 3980/605,8460/6853 = [GCF of 3980,8460]/[LCM of 605,6853]= 20/376915
Therefore, the GCF of 3980/605,8460/6853 is 20/376915.
To find the highest common factor of 3980,8460, we have to find the factors of both numbers and list the highest common factor.
The factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980
The factors of 8460 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230, 8460
The HCF of 3980,8460 is 20.
Lets's calculate GCF of 3980,8460
| 2 | 3980, 8460 |
| 2 | 1990, 4230 |
| 5 | 995, 2115 |
| 199, 423 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 3980,8460 By Matching Biggest Common Factor Method
Now, list down the factors of 3980
:1,2,4,5,10,20,199,398,796,995,1990,3980
Now, list down the factors of 8460
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,47,60,90,94,141,180,188,235,282,423,470,564,705,846,940,1410,1692,2115,2820,4230,8460
Greatest Common Factor
We found the factors 3980,8460 . The biggest common factor number is the GCF number.
So the greatest common factor 3980,8460 is 20.
Lets's calculate LCM of 605,6853
| 11 | 605, 6853 |
| 55, 623 |
∴ So the LCM of the given numbers is 11 x 55 x 623 = 376915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/376915
Therefore, the GCF of Fractions 3980/605,8460/6853 is 20/376915
Least Common Multiple of 605,6853 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 605,6853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,6853) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(605,6853) x common factors =11 x 1 = 11
LCM(605,6853) = ( 605 × 6853 ) / 11
LCM(605,6853) = 4146065 / 11
LCM(605,6853) = 376915
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FAQs on GCF of Fractions of 3980/605, 8460/6853
1. What is the HCF of 3980,8460?
The HCF of 3980,8460 is 20
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 3980/605, 8460/6853?
Answer: GCF of Numerators as per given numbers 3980/605, 8460/6853 is
GCF of Numerators i.e. for 3980,8460 is 20
LCM of denominators i.e. for 605,6853 is 376915.
Thus, GCF of Fractions is 20/376915.Finally, GCF of Fractions for 3980/605, 8460/6853 is 20/376915.