GCF of 8676/270, 8637/8612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8676/270, 8637/8612 i.e 3/1162620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8676/270, 8637/8612.
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 8676/270,8637/8612?
Given fractions are 8676/270,8637/8612
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 8676/270,8637/8612, numerators are 8676,8637
Denominators are 270,8612
The GCF of 8676,8637 is 3 .
LCM of 270,8612 is 1162620.
The greatest common factor of 8676/270,8637/8612 = [GCF of 8676,8637]/[LCM of 270,8612]= 3/1162620
Therefore, the GCF of 8676/270,8637/8612 is 3/1162620.
To find the highest common factor of 8676,8637, we have to find the factors of both numbers and list the highest common factor.
The factors of 8676 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676
The factors of 8637 are 1, 3, 2879, 8637
The HCF of 8676,8637 is 3.
Lets's calculate GCF of 8676,8637
| 3 | 8676, 8637 |
| 2892, 2879 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8676,8637 By Matching Biggest Common Factor Method
Now, list down the factors of 8676
:1,2,3,4,6,9,12,18,36,241,482,723,964,1446,2169,2892,4338,8676
Now, list down the factors of 8637
:1,3,2879,8637
Greatest Common Factor
We found the factors 8676,8637 . The biggest common factor number is the GCF number.
So the greatest common factor 8676,8637 is 3.
Lets's calculate LCM of 270,8612
| 2 | 270, 8612 |
| 135, 4306 |
∴ So the LCM of the given numbers is 2 x 135 x 4306 = 1162620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1162620
Therefore, the GCF of Fractions 8676/270,8637/8612 is 3/1162620
Least Common Multiple of 270,8612 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 270,8612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,8612) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,8612) x common factors =2 x 1 = 2
LCM(270,8612) = ( 270 × 8612 ) / 2
LCM(270,8612) = 2325240 / 2
LCM(270,8612) = 1162620
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FAQs on GCF of Fractions of 8676/270, 8637/8612
1. What is the HCF of 8676,8637?
The HCF of 8676,8637 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 8676/270, 8637/8612?
Answer: GCF of Numerators as per given numbers 8676/270, 8637/8612 is
GCF of Numerators i.e. for 8676,8637 is 3
LCM of denominators i.e. for 270,8612 is 1162620.
Thus, GCF of Fractions is 3/1162620.Finally, GCF of Fractions for 8676/270, 8637/8612 is 3/1162620.