GCF of 8458/584, 1836/9968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8458/584, 1836/9968 i.e 2/727664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8458/584, 1836/9968.
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 8458/584,1836/9968?
Given fractions are 8458/584,1836/9968
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 8458/584,1836/9968, numerators are 8458,1836
Denominators are 584,9968
The GCF of 8458,1836 is 2 .
LCM of 584,9968 is 727664.
The greatest common factor of 8458/584,1836/9968 = [GCF of 8458,1836]/[LCM of 584,9968]= 2/727664
Therefore, the GCF of 8458/584,1836/9968 is 2/727664.
To find the highest common factor of 8458,1836, we have to find the factors of both numbers and list the highest common factor.
The factors of 8458 are 1, 2, 4229, 8458
The factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836
The HCF of 8458,1836 is 2.
Lets's calculate GCF of 8458,1836
| 2 | 8458, 1836 |
| 4229, 918 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8458,1836 By Matching Biggest Common Factor Method
Now, list down the factors of 8458
:1,2,4229,8458
Now, list down the factors of 1836
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836
Greatest Common Factor
We found the factors 8458,1836 . The biggest common factor number is the GCF number.
So the greatest common factor 8458,1836 is 2.
Lets's calculate LCM of 584,9968
| 2 | 584, 9968 |
| 2 | 292, 4984 |
| 2 | 146, 2492 |
| 73, 1246 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 1246 = 727664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/727664
Therefore, the GCF of Fractions 8458/584,1836/9968 is 2/727664
Least Common Multiple of 584,9968 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 584,9968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,9968) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(584,9968) x common factors =8 x 1 = 8
LCM(584,9968) = ( 584 × 9968 ) / 8
LCM(584,9968) = 5821312 / 8
LCM(584,9968) = 727664
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FAQs on GCF of Fractions of 8458/584, 1836/9968
1. What is the HCF of 8458,1836?
The HCF of 8458,1836 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 8458/584, 1836/9968?
Answer: GCF of Numerators as per given numbers 8458/584, 1836/9968 is
GCF of Numerators i.e. for 8458,1836 is 2
LCM of denominators i.e. for 584,9968 is 727664.
Thus, GCF of Fractions is 2/727664.Finally, GCF of Fractions for 8458/584, 1836/9968 is 2/727664.