GCF of 8562/308, 5724/1859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8562/308, 5724/1859 i.e 6/52052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8562/308, 5724/1859.
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 8562/308,5724/1859?
Given fractions are 8562/308,5724/1859
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 8562/308,5724/1859, numerators are 8562,5724
Denominators are 308,1859
The GCF of 8562,5724 is 6 .
LCM of 308,1859 is 52052.
The greatest common factor of 8562/308,5724/1859 = [GCF of 8562,5724]/[LCM of 308,1859]= 6/52052
Therefore, the GCF of 8562/308,5724/1859 is 6/52052.
To find the highest common factor of 8562,5724, we have to find the factors of both numbers and list the highest common factor.
The factors of 8562 are 1, 2, 3, 6, 1427, 2854, 4281, 8562
The factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724
The HCF of 8562,5724 is 6.
Lets's calculate GCF of 8562,5724
| 2 | 8562, 5724 |
| 3 | 4281, 2862 |
| 1427, 954 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8562,5724 By Matching Biggest Common Factor Method
Now, list down the factors of 8562
:1,2,3,6,1427,2854,4281,8562
Now, list down the factors of 5724
:1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724
Greatest Common Factor
We found the factors 8562,5724 . The biggest common factor number is the GCF number.
So the greatest common factor 8562,5724 is 6.
Lets's calculate LCM of 308,1859
| 11 | 308, 1859 |
| 28, 169 |
∴ So the LCM of the given numbers is 11 x 28 x 169 = 52052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/52052
Therefore, the GCF of Fractions 8562/308,5724/1859 is 6/52052
Least Common Multiple of 308,1859 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 308,1859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,1859) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(308,1859) x common factors =11 x 1 = 11
LCM(308,1859) = ( 308 × 1859 ) / 11
LCM(308,1859) = 572572 / 11
LCM(308,1859) = 52052
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FAQs on GCF of Fractions of 8562/308, 5724/1859
1. What is the HCF of 8562,5724?
The HCF of 8562,5724 is 6
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 8562/308, 5724/1859?
Answer: GCF of Numerators as per given numbers 8562/308, 5724/1859 is
GCF of Numerators i.e. for 8562,5724 is 6
LCM of denominators i.e. for 308,1859 is 52052.
Thus, GCF of Fractions is 6/52052.Finally, GCF of Fractions for 8562/308, 5724/1859 is 6/52052.