GCF of 5584/667, 1268/8384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5584/667, 1268/8384 i.e 4/5592128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5584/667, 1268/8384.
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 5584/667,1268/8384?
Given fractions are 5584/667,1268/8384
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 5584/667,1268/8384, numerators are 5584,1268
Denominators are 667,8384
The GCF of 5584,1268 is 4 .
LCM of 667,8384 is 5592128.
The greatest common factor of 5584/667,1268/8384 = [GCF of 5584,1268]/[LCM of 667,8384]= 4/5592128
Therefore, the GCF of 5584/667,1268/8384 is 4/5592128.
To find the highest common factor of 5584,1268, we have to find the factors of both numbers and list the highest common factor.
The factors of 5584 are 1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584
The factors of 1268 are 1, 2, 4, 317, 634, 1268
The HCF of 5584,1268 is 4.
Lets's calculate GCF of 5584,1268
| 2 | 5584, 1268 |
| 2 | 2792, 634 |
| 1396, 317 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5584,1268 By Matching Biggest Common Factor Method
Now, list down the factors of 5584
:1,2,4,8,16,349,698,1396,2792,5584
Now, list down the factors of 1268
:1,2,4,317,634,1268
Greatest Common Factor
We found the factors 5584,1268 . The biggest common factor number is the GCF number.
So the greatest common factor 5584,1268 is 4.
Lets's calculate LCM of 667,8384
Given numbers has no common factors except 1. So, there LCM is their product i.e 5592128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5592128
Therefore, the GCF of Fractions 5584/667,1268/8384 is 4/5592128
Least Common Multiple of 667,8384 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 667,8384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,8384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,8384) x common factors =1 x 1 = 1
LCM(667,8384) = ( 667 × 8384 ) / 1
LCM(667,8384) = 5592128 / 1
LCM(667,8384) = 5592128
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FAQs on GCF of Fractions of 5584/667, 1268/8384
1. What is the HCF of 5584,1268?
The HCF of 5584,1268 is 4
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 5584/667, 1268/8384?
Answer: GCF of Numerators as per given numbers 5584/667, 1268/8384 is
GCF of Numerators i.e. for 5584,1268 is 4
LCM of denominators i.e. for 667,8384 is 5592128.
Thus, GCF of Fractions is 4/5592128.Finally, GCF of Fractions for 5584/667, 1268/8384 is 4/5592128.