GCF of 5095/32, 5675/906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5095/32, 5675/906 i.e 5/14496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5095/32, 5675/906.
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 5095/32,5675/906?
Given fractions are 5095/32,5675/906
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 5095/32,5675/906, numerators are 5095,5675
Denominators are 32,906
The GCF of 5095,5675 is 5 .
LCM of 32,906 is 14496.
The greatest common factor of 5095/32,5675/906 = [GCF of 5095,5675]/[LCM of 32,906]= 5/14496
Therefore, the GCF of 5095/32,5675/906 is 5/14496.
To find the highest common factor of 5095,5675, we have to find the factors of both numbers and list the highest common factor.
The factors of 5095 are 1, 5, 1019, 5095
The factors of 5675 are 1, 5, 25, 227, 1135, 5675
The HCF of 5095,5675 is 5.
Lets's calculate GCF of 5095,5675
| 5 | 5095, 5675 |
| 1019, 1135 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5095,5675 By Matching Biggest Common Factor Method
Now, list down the factors of 5095
:1,5,1019,5095
Now, list down the factors of 5675
:1,5,25,227,1135,5675
Greatest Common Factor
We found the factors 5095,5675 . The biggest common factor number is the GCF number.
So the greatest common factor 5095,5675 is 5.
Lets's calculate LCM of 32,906
| 2 | 32, 906 |
| 16, 453 |
∴ So the LCM of the given numbers is 2 x 16 x 453 = 14496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/14496
Therefore, the GCF of Fractions 5095/32,5675/906 is 5/14496
Least Common Multiple of 32,906 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 32,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(32,906) x common factors =2 x 1 = 2
LCM(32,906) = ( 32 × 906 ) / 2
LCM(32,906) = 28992 / 2
LCM(32,906) = 14496
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FAQs on GCF of Fractions of 5095/32, 5675/906
1. What is the HCF of 5095,5675?
The HCF of 5095,5675 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 5095/32, 5675/906?
Answer: GCF of Numerators as per given numbers 5095/32, 5675/906 is
GCF of Numerators i.e. for 5095,5675 is 5
LCM of denominators i.e. for 32,906 is 14496.
Thus, GCF of Fractions is 5/14496.Finally, GCF of Fractions for 5095/32, 5675/906 is 5/14496.