GCF of 1432/559, 1844/5060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1432/559, 1844/5060 i.e 4/2828540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1432/559, 1844/5060.
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 1432/559,1844/5060?
Given fractions are 1432/559,1844/5060
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 1432/559,1844/5060, numerators are 1432,1844
Denominators are 559,5060
The GCF of 1432,1844 is 4 .
LCM of 559,5060 is 2828540.
The greatest common factor of 1432/559,1844/5060 = [GCF of 1432,1844]/[LCM of 559,5060]= 4/2828540
Therefore, the GCF of 1432/559,1844/5060 is 4/2828540.
To find the highest common factor of 1432,1844, we have to find the factors of both numbers and list the highest common factor.
The factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432
The factors of 1844 are 1, 2, 4, 461, 922, 1844
The HCF of 1432,1844 is 4.
Lets's calculate GCF of 1432,1844
| 2 | 1432, 1844 |
| 2 | 716, 922 |
| 358, 461 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1432,1844 By Matching Biggest Common Factor Method
Now, list down the factors of 1432
:1,2,4,8,179,358,716,1432
Now, list down the factors of 1844
:1,2,4,461,922,1844
Greatest Common Factor
We found the factors 1432,1844 . The biggest common factor number is the GCF number.
So the greatest common factor 1432,1844 is 4.
Lets's calculate LCM of 559,5060
Given numbers has no common factors except 1. So, there LCM is their product i.e 2828540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2828540
Therefore, the GCF of Fractions 1432/559,1844/5060 is 4/2828540
Least Common Multiple of 559,5060 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 559,5060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,5060) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,5060) x common factors =1 x 1 = 1
LCM(559,5060) = ( 559 × 5060 ) / 1
LCM(559,5060) = 2828540 / 1
LCM(559,5060) = 2828540
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FAQs on GCF of Fractions of 1432/559, 1844/5060
1. What is the HCF of 1432,1844?
The HCF of 1432,1844 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 1432/559, 1844/5060?
Answer: GCF of Numerators as per given numbers 1432/559, 1844/5060 is
GCF of Numerators i.e. for 1432,1844 is 4
LCM of denominators i.e. for 559,5060 is 2828540.
Thus, GCF of Fractions is 4/2828540.Finally, GCF of Fractions for 1432/559, 1844/5060 is 4/2828540.