GCF of 5206/724, 8816/5910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5206/724, 8816/5910 i.e 38/2139420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5206/724, 8816/5910.
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 5206/724,8816/5910?
Given fractions are 5206/724,8816/5910
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 5206/724,8816/5910, numerators are 5206,8816
Denominators are 724,5910
The GCF of 5206,8816 is 38 .
LCM of 724,5910 is 2139420.
The greatest common factor of 5206/724,8816/5910 = [GCF of 5206,8816]/[LCM of 724,5910]= 38/2139420
Therefore, the GCF of 5206/724,8816/5910 is 38/2139420.
To find the highest common factor of 5206,8816, we have to find the factors of both numbers and list the highest common factor.
The factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206
The factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816
The HCF of 5206,8816 is 38.
Lets's calculate GCF of 5206,8816
| 2 | 5206, 8816 |
| 19 | 2603, 4408 |
| 137, 232 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 5206,8816 By Matching Biggest Common Factor Method
Now, list down the factors of 5206
:1,2,19,38,137,274,2603,5206
Now, list down the factors of 8816
:1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816
Greatest Common Factor
We found the factors 5206,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 5206,8816 is 38.
Lets's calculate LCM of 724,5910
| 2 | 724, 5910 |
| 362, 2955 |
∴ So the LCM of the given numbers is 2 x 362 x 2955 = 2139420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/2139420
Therefore, the GCF of Fractions 5206/724,8816/5910 is 38/2139420
Least Common Multiple of 724,5910 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 724,5910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,5910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,5910) x common factors =2 x 1 = 2
LCM(724,5910) = ( 724 × 5910 ) / 2
LCM(724,5910) = 4278840 / 2
LCM(724,5910) = 2139420
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FAQs on GCF of Fractions of 5206/724, 8816/5910
1. What is the HCF of 5206,8816?
The HCF of 5206,8816 is 38
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 5206/724, 8816/5910?
Answer: GCF of Numerators as per given numbers 5206/724, 8816/5910 is
GCF of Numerators i.e. for 5206,8816 is 38
LCM of denominators i.e. for 724,5910 is 2139420.
Thus, GCF of Fractions is 38/2139420.Finally, GCF of Fractions for 5206/724, 8816/5910 is 38/2139420.