GCF of 9608/336, 5621/1848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9608/336, 5621/1848 i.e 1/3696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9608/336, 5621/1848.
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 9608/336,5621/1848?
Given fractions are 9608/336,5621/1848
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 9608/336,5621/1848, numerators are 9608,5621
Denominators are 336,1848
The GCF of 9608,5621 is 1 .
LCM of 336,1848 is 3696.
The greatest common factor of 9608/336,5621/1848 = [GCF of 9608,5621]/[LCM of 336,1848]= 1/3696
Therefore, the GCF of 9608/336,5621/1848 is 1/3696.
To find the highest common factor of 9608,5621, we have to find the factors of both numbers and list the highest common factor.
The factors of 9608 are 1, 2, 4, 8, 1201, 2402, 4804, 9608
The factors of 5621 are 1, 7, 11, 73, 77, 511, 803, 5621
The HCF of 9608,5621 is 1.
Lets's calculate GCF of 9608,5621
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9608,5621 By Matching Biggest Common Factor Method
Now, list down the factors of 9608
:1,2,4,8,1201,2402,4804,9608
Now, list down the factors of 5621
:1,7,11,73,77,511,803,5621
Greatest Common Factor
We found the factors 9608,5621 . The biggest common factor number is the GCF number.
So the greatest common factor 9608,5621 is 1.
Lets's calculate LCM of 336,1848
| 2 | 336, 1848 |
| 2 | 168, 924 |
| 2 | 84, 462 |
| 3 | 42, 231 |
| 7 | 14, 77 |
| 2, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 2 x 11 = 3696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3696
Therefore, the GCF of Fractions 9608/336,5621/1848 is 1/3696
Least Common Multiple of 336,1848 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 336,1848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,1848) = 168
common factors(in case of two or more numbers have common factors) = 1
GCF(336,1848) x common factors =168 x 1 = 168
LCM(336,1848) = ( 336 × 1848 ) / 168
LCM(336,1848) = 620928 / 168
LCM(336,1848) = 3696
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FAQs on GCF of Fractions of 9608/336, 5621/1848
1. What is the HCF of 9608,5621?
The HCF of 9608,5621 is 1
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 9608/336, 5621/1848?
Answer: GCF of Numerators as per given numbers 9608/336, 5621/1848 is
GCF of Numerators i.e. for 9608,5621 is 1
LCM of denominators i.e. for 336,1848 is 3696.
Thus, GCF of Fractions is 1/3696.Finally, GCF of Fractions for 9608/336, 5621/1848 is 1/3696.