GCF of 5189/206, 6224/7362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5189/206, 6224/7362 i.e 1/758286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5189/206, 6224/7362.
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 5189/206,6224/7362?
Given fractions are 5189/206,6224/7362
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 5189/206,6224/7362, numerators are 5189,6224
Denominators are 206,7362
The GCF of 5189,6224 is 1 .
LCM of 206,7362 is 758286.
The greatest common factor of 5189/206,6224/7362 = [GCF of 5189,6224]/[LCM of 206,7362]= 1/758286
Therefore, the GCF of 5189/206,6224/7362 is 1/758286.
To find the highest common factor of 5189,6224, we have to find the factors of both numbers and list the highest common factor.
The factors of 5189 are 1, 5189
The factors of 6224 are 1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224
The HCF of 5189,6224 is 1.
Lets's calculate GCF of 5189,6224
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5189,6224 By Matching Biggest Common Factor Method
Now, list down the factors of 5189
:1,5189
Now, list down the factors of 6224
:1,2,4,8,16,389,778,1556,3112,6224
Greatest Common Factor
We found the factors 5189,6224 . The biggest common factor number is the GCF number.
So the greatest common factor 5189,6224 is 1.
Lets's calculate LCM of 206,7362
| 2 | 206, 7362 |
| 103, 3681 |
∴ So the LCM of the given numbers is 2 x 103 x 3681 = 758286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/758286
Therefore, the GCF of Fractions 5189/206,6224/7362 is 1/758286
Least Common Multiple of 206,7362 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 206,7362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,7362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,7362) x common factors =2 x 1 = 2
LCM(206,7362) = ( 206 × 7362 ) / 2
LCM(206,7362) = 1516572 / 2
LCM(206,7362) = 758286
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FAQs on GCF of Fractions of 5189/206, 6224/7362
1. What is the HCF of 5189,6224?
The HCF of 5189,6224 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 5189/206, 6224/7362?
Answer: GCF of Numerators as per given numbers 5189/206, 6224/7362 is
GCF of Numerators i.e. for 5189,6224 is 1
LCM of denominators i.e. for 206,7362 is 758286.
Thus, GCF of Fractions is 1/758286.Finally, GCF of Fractions for 5189/206, 6224/7362 is 1/758286.