GCF of 8610/870, 8019/6770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8610/870, 8019/6770 i.e 3/588990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8610/870, 8019/6770.
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 8610/870,8019/6770?
Given fractions are 8610/870,8019/6770
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 8610/870,8019/6770, numerators are 8610,8019
Denominators are 870,6770
The GCF of 8610,8019 is 3 .
LCM of 870,6770 is 588990.
The greatest common factor of 8610/870,8019/6770 = [GCF of 8610,8019]/[LCM of 870,6770]= 3/588990
Therefore, the GCF of 8610/870,8019/6770 is 3/588990.
To find the highest common factor of 8610,8019, we have to find the factors of both numbers and list the highest common factor.
The factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610
The factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019
The HCF of 8610,8019 is 3.
Lets's calculate GCF of 8610,8019
| 3 | 8610, 8019 |
| 2870, 2673 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8610,8019 By Matching Biggest Common Factor Method
Now, list down the factors of 8610
:1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610
Now, list down the factors of 8019
:1,3,9,11,27,33,81,99,243,297,729,891,2673,8019
Greatest Common Factor
We found the factors 8610,8019 . The biggest common factor number is the GCF number.
So the greatest common factor 8610,8019 is 3.
Lets's calculate LCM of 870,6770
| 2 | 870, 6770 |
| 5 | 435, 3385 |
| 87, 677 |
∴ So the LCM of the given numbers is 2 x 5 x 87 x 677 = 588990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/588990
Therefore, the GCF of Fractions 8610/870,8019/6770 is 3/588990
Least Common Multiple of 870,6770 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 870,6770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,6770) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(870,6770) x common factors =10 x 1 = 10
LCM(870,6770) = ( 870 × 6770 ) / 10
LCM(870,6770) = 5889900 / 10
LCM(870,6770) = 588990
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FAQs on GCF of Fractions of 8610/870, 8019/6770
1. What is the HCF of 8610,8019?
The HCF of 8610,8019 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 8610/870, 8019/6770?
Answer: GCF of Numerators as per given numbers 8610/870, 8019/6770 is
GCF of Numerators i.e. for 8610,8019 is 3
LCM of denominators i.e. for 870,6770 is 588990.
Thus, GCF of Fractions is 3/588990.Finally, GCF of Fractions for 8610/870, 8019/6770 is 3/588990.