GCF of 5243/224, 2163/5029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5243/224, 2163/5029 i.e 7/1126496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5243/224, 2163/5029.
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 5243/224,2163/5029?
Given fractions are 5243/224,2163/5029
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 5243/224,2163/5029, numerators are 5243,2163
Denominators are 224,5029
The GCF of 5243,2163 is 7 .
LCM of 224,5029 is 1126496.
The greatest common factor of 5243/224,2163/5029 = [GCF of 5243,2163]/[LCM of 224,5029]= 7/1126496
Therefore, the GCF of 5243/224,2163/5029 is 7/1126496.
To find the highest common factor of 5243,2163, we have to find the factors of both numbers and list the highest common factor.
The factors of 5243 are 1, 7, 49, 107, 749, 5243
The factors of 2163 are 1, 3, 7, 21, 103, 309, 721, 2163
The HCF of 5243,2163 is 7.
Lets's calculate GCF of 5243,2163
| 7 | 5243, 2163 |
| 749, 309 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5243,2163 By Matching Biggest Common Factor Method
Now, list down the factors of 5243
:1,7,49,107,749,5243
Now, list down the factors of 2163
:1,3,7,21,103,309,721,2163
Greatest Common Factor
We found the factors 5243,2163 . The biggest common factor number is the GCF number.
So the greatest common factor 5243,2163 is 7.
Lets's calculate LCM of 224,5029
Given numbers has no common factors except 1. So, there LCM is their product i.e 1126496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1126496
Therefore, the GCF of Fractions 5243/224,2163/5029 is 7/1126496
Least Common Multiple of 224,5029 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 224,5029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,5029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,5029) x common factors =1 x 1 = 1
LCM(224,5029) = ( 224 × 5029 ) / 1
LCM(224,5029) = 1126496 / 1
LCM(224,5029) = 1126496
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FAQs on GCF of Fractions of 5243/224, 2163/5029
1. What is the HCF of 5243,2163?
The HCF of 5243,2163 is 7
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 5243/224, 2163/5029?
Answer: GCF of Numerators as per given numbers 5243/224, 2163/5029 is
GCF of Numerators i.e. for 5243,2163 is 7
LCM of denominators i.e. for 224,5029 is 1126496.
Thus, GCF of Fractions is 7/1126496.Finally, GCF of Fractions for 5243/224, 2163/5029 is 7/1126496.