GCF of 8968/598, 3822/4344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8968/598, 3822/4344 i.e 2/1298856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8968/598, 3822/4344.
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 8968/598,3822/4344?
Given fractions are 8968/598,3822/4344
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 8968/598,3822/4344, numerators are 8968,3822
Denominators are 598,4344
The GCF of 8968,3822 is 2 .
LCM of 598,4344 is 1298856.
The greatest common factor of 8968/598,3822/4344 = [GCF of 8968,3822]/[LCM of 598,4344]= 2/1298856
Therefore, the GCF of 8968/598,3822/4344 is 2/1298856.
To find the highest common factor of 8968,3822, we have to find the factors of both numbers and list the highest common factor.
The factors of 8968 are 1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968
The factors of 3822 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822
The HCF of 8968,3822 is 2.
Lets's calculate GCF of 8968,3822
| 2 | 8968, 3822 |
| 4484, 1911 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8968,3822 By Matching Biggest Common Factor Method
Now, list down the factors of 8968
:1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968
Now, list down the factors of 3822
:1,2,3,6,7,13,14,21,26,39,42,49,78,91,98,147,182,273,294,546,637,1274,1911,3822
Greatest Common Factor
We found the factors 8968,3822 . The biggest common factor number is the GCF number.
So the greatest common factor 8968,3822 is 2.
Lets's calculate LCM of 598,4344
| 2 | 598, 4344 |
| 299, 2172 |
∴ So the LCM of the given numbers is 2 x 299 x 2172 = 1298856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1298856
Therefore, the GCF of Fractions 8968/598,3822/4344 is 2/1298856
Least Common Multiple of 598,4344 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 598,4344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,4344) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,4344) x common factors =2 x 1 = 2
LCM(598,4344) = ( 598 × 4344 ) / 2
LCM(598,4344) = 2597712 / 2
LCM(598,4344) = 1298856
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FAQs on GCF of Fractions of 8968/598, 3822/4344
1. What is the HCF of 8968,3822?
The HCF of 8968,3822 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 8968/598, 3822/4344?
Answer: GCF of Numerators as per given numbers 8968/598, 3822/4344 is
GCF of Numerators i.e. for 8968,3822 is 2
LCM of denominators i.e. for 598,4344 is 1298856.
Thus, GCF of Fractions is 2/1298856.Finally, GCF of Fractions for 8968/598, 3822/4344 is 2/1298856.