GCF of 8486/828, 5160/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8486/828, 5160/687 i.e 2/189612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8486/828, 5160/687.
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 8486/828,5160/687?
Given fractions are 8486/828,5160/687
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 8486/828,5160/687, numerators are 8486,5160
Denominators are 828,687
The GCF of 8486,5160 is 2 .
LCM of 828,687 is 189612.
The greatest common factor of 8486/828,5160/687 = [GCF of 8486,5160]/[LCM of 828,687]= 2/189612
Therefore, the GCF of 8486/828,5160/687 is 2/189612.
To find the highest common factor of 8486,5160, we have to find the factors of both numbers and list the highest common factor.
The factors of 8486 are 1, 2, 4243, 8486
The factors of 5160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160
The HCF of 8486,5160 is 2.
Lets's calculate GCF of 8486,5160
| 2 | 8486, 5160 |
| 4243, 2580 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8486,5160 By Matching Biggest Common Factor Method
Now, list down the factors of 8486
:1,2,4243,8486
Now, list down the factors of 5160
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160
Greatest Common Factor
We found the factors 8486,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 8486,5160 is 2.
Lets's calculate LCM of 828,687
| 3 | 828, 687 |
| 276, 229 |
∴ So the LCM of the given numbers is 3 x 276 x 229 = 189612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/189612
Therefore, the GCF of Fractions 8486/828,5160/687 is 2/189612
Least Common Multiple of 828,687 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 828,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,687) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(828,687) x common factors =3 x 1 = 3
LCM(828,687) = ( 828 × 687 ) / 3
LCM(828,687) = 568836 / 3
LCM(828,687) = 189612
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FAQs on GCF of Fractions of 8486/828, 5160/687
1. What is the HCF of 8486,5160?
The HCF of 8486,5160 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 8486/828, 5160/687?
Answer: GCF of Numerators as per given numbers 8486/828, 5160/687 is
GCF of Numerators i.e. for 8486,5160 is 2
LCM of denominators i.e. for 828,687 is 189612.
Thus, GCF of Fractions is 2/189612.Finally, GCF of Fractions for 8486/828, 5160/687 is 2/189612.