GCF of 5195/563, 5865/7942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5195/563, 5865/7942 i.e 5/4471346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5195/563, 5865/7942.
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 5195/563,5865/7942?
Given fractions are 5195/563,5865/7942
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 5195/563,5865/7942, numerators are 5195,5865
Denominators are 563,7942
The GCF of 5195,5865 is 5 .
LCM of 563,7942 is 4471346.
The greatest common factor of 5195/563,5865/7942 = [GCF of 5195,5865]/[LCM of 563,7942]= 5/4471346
Therefore, the GCF of 5195/563,5865/7942 is 5/4471346.
To find the highest common factor of 5195,5865, we have to find the factors of both numbers and list the highest common factor.
The factors of 5195 are 1, 5, 1039, 5195
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The HCF of 5195,5865 is 5.
Lets's calculate GCF of 5195,5865
| 5 | 5195, 5865 |
| 1039, 1173 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5195,5865 By Matching Biggest Common Factor Method
Now, list down the factors of 5195
:1,5,1039,5195
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Greatest Common Factor
We found the factors 5195,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 5195,5865 is 5.
Lets's calculate LCM of 563,7942
Given numbers has no common factors except 1. So, there LCM is their product i.e 4471346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4471346
Therefore, the GCF of Fractions 5195/563,5865/7942 is 5/4471346
Least Common Multiple of 563,7942 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 563,7942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,7942) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,7942) x common factors =1 x 1 = 1
LCM(563,7942) = ( 563 × 7942 ) / 1
LCM(563,7942) = 4471346 / 1
LCM(563,7942) = 4471346
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FAQs on GCF of Fractions of 5195/563, 5865/7942
1. What is the HCF of 5195,5865?
The HCF of 5195,5865 is 5
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 5195/563, 5865/7942?
Answer: GCF of Numerators as per given numbers 5195/563, 5865/7942 is
GCF of Numerators i.e. for 5195,5865 is 5
LCM of denominators i.e. for 563,7942 is 4471346.
Thus, GCF of Fractions is 5/4471346.Finally, GCF of Fractions for 5195/563, 5865/7942 is 5/4471346.