GCF of 5199/153, 6875/235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5199/153, 6875/235 i.e 1/35955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5199/153, 6875/235.
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 5199/153,6875/235?
Given fractions are 5199/153,6875/235
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 5199/153,6875/235, numerators are 5199,6875
Denominators are 153,235
The GCF of 5199,6875 is 1 .
LCM of 153,235 is 35955.
The greatest common factor of 5199/153,6875/235 = [GCF of 5199,6875]/[LCM of 153,235]= 1/35955
Therefore, the GCF of 5199/153,6875/235 is 1/35955.
To find the highest common factor of 5199,6875, we have to find the factors of both numbers and list the highest common factor.
The factors of 5199 are 1, 3, 1733, 5199
The factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875
The HCF of 5199,6875 is 1.
Lets's calculate GCF of 5199,6875
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5199,6875 By Matching Biggest Common Factor Method
Now, list down the factors of 5199
:1,3,1733,5199
Now, list down the factors of 6875
:1,5,11,25,55,125,275,625,1375,6875
Greatest Common Factor
We found the factors 5199,6875 . The biggest common factor number is the GCF number.
So the greatest common factor 5199,6875 is 1.
Lets's calculate LCM of 153,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 35955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35955
Therefore, the GCF of Fractions 5199/153,6875/235 is 1/35955
Least Common Multiple of 153,235 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 153,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,235) x common factors =1 x 1 = 1
LCM(153,235) = ( 153 × 235 ) / 1
LCM(153,235) = 35955 / 1
LCM(153,235) = 35955
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FAQs on GCF of Fractions of 5199/153, 6875/235
1. What is the HCF of 5199,6875?
The HCF of 5199,6875 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 5199/153, 6875/235?
Answer: GCF of Numerators as per given numbers 5199/153, 6875/235 is
GCF of Numerators i.e. for 5199,6875 is 1
LCM of denominators i.e. for 153,235 is 35955.
Thus, GCF of Fractions is 1/35955.Finally, GCF of Fractions for 5199/153, 6875/235 is 1/35955.