GCF of 1438/559, 8558/7824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1438/559, 8558/7824 i.e 2/4373616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1438/559, 8558/7824.
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 1438/559,8558/7824?
Given fractions are 1438/559,8558/7824
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 1438/559,8558/7824, numerators are 1438,8558
Denominators are 559,7824
The GCF of 1438,8558 is 2 .
LCM of 559,7824 is 4373616.
The greatest common factor of 1438/559,8558/7824 = [GCF of 1438,8558]/[LCM of 559,7824]= 2/4373616
Therefore, the GCF of 1438/559,8558/7824 is 2/4373616.
To find the highest common factor of 1438,8558, we have to find the factors of both numbers and list the highest common factor.
The factors of 1438 are 1, 2, 719, 1438
The factors of 8558 are 1, 2, 11, 22, 389, 778, 4279, 8558
The HCF of 1438,8558 is 2.
Lets's calculate GCF of 1438,8558
| 2 | 1438, 8558 |
| 719, 4279 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1438,8558 By Matching Biggest Common Factor Method
Now, list down the factors of 1438
:1,2,719,1438
Now, list down the factors of 8558
:1,2,11,22,389,778,4279,8558
Greatest Common Factor
We found the factors 1438,8558 . The biggest common factor number is the GCF number.
So the greatest common factor 1438,8558 is 2.
Lets's calculate LCM of 559,7824
Given numbers has no common factors except 1. So, there LCM is their product i.e 4373616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4373616
Therefore, the GCF of Fractions 1438/559,8558/7824 is 2/4373616
Least Common Multiple of 559,7824 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 559,7824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,7824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,7824) x common factors =1 x 1 = 1
LCM(559,7824) = ( 559 × 7824 ) / 1
LCM(559,7824) = 4373616 / 1
LCM(559,7824) = 4373616
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FAQs on GCF of Fractions of 1438/559, 8558/7824
1. What is the HCF of 1438,8558?
The HCF of 1438,8558 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 1438/559, 8558/7824?
Answer: GCF of Numerators as per given numbers 1438/559, 8558/7824 is
GCF of Numerators i.e. for 1438,8558 is 2
LCM of denominators i.e. for 559,7824 is 4373616.
Thus, GCF of Fractions is 2/4373616.Finally, GCF of Fractions for 1438/559, 8558/7824 is 2/4373616.