GCF of 5266/687, 8176/7198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5266/687, 8176/7198 i.e 2/4945026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5266/687, 8176/7198.
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 5266/687,8176/7198?
Given fractions are 5266/687,8176/7198
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 5266/687,8176/7198, numerators are 5266,8176
Denominators are 687,7198
The GCF of 5266,8176 is 2 .
LCM of 687,7198 is 4945026.
The greatest common factor of 5266/687,8176/7198 = [GCF of 5266,8176]/[LCM of 687,7198]= 2/4945026
Therefore, the GCF of 5266/687,8176/7198 is 2/4945026.
To find the highest common factor of 5266,8176, we have to find the factors of both numbers and list the highest common factor.
The factors of 5266 are 1, 2, 2633, 5266
The factors of 8176 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088, 8176
The HCF of 5266,8176 is 2.
Lets's calculate GCF of 5266,8176
| 2 | 5266, 8176 |
| 2633, 4088 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5266,8176 By Matching Biggest Common Factor Method
Now, list down the factors of 5266
:1,2,2633,5266
Now, list down the factors of 8176
:1,2,4,7,8,14,16,28,56,73,112,146,292,511,584,1022,1168,2044,4088,8176
Greatest Common Factor
We found the factors 5266,8176 . The biggest common factor number is the GCF number.
So the greatest common factor 5266,8176 is 2.
Lets's calculate LCM of 687,7198
Given numbers has no common factors except 1. So, there LCM is their product i.e 4945026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4945026
Therefore, the GCF of Fractions 5266/687,8176/7198 is 2/4945026
Least Common Multiple of 687,7198 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 687,7198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,7198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,7198) x common factors =1 x 1 = 1
LCM(687,7198) = ( 687 × 7198 ) / 1
LCM(687,7198) = 4945026 / 1
LCM(687,7198) = 4945026
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FAQs on GCF of Fractions of 5266/687, 8176/7198
1. What is the HCF of 5266,8176?
The HCF of 5266,8176 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 5266/687, 8176/7198?
Answer: GCF of Numerators as per given numbers 5266/687, 8176/7198 is
GCF of Numerators i.e. for 5266,8176 is 2
LCM of denominators i.e. for 687,7198 is 4945026.
Thus, GCF of Fractions is 2/4945026.Finally, GCF of Fractions for 5266/687, 8176/7198 is 2/4945026.