GCF of 7175/319, 2252/8123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7175/319, 2252/8123 i.e 1/2591237 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7175/319, 2252/8123.
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 7175/319,2252/8123?
Given fractions are 7175/319,2252/8123
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 7175/319,2252/8123, numerators are 7175,2252
Denominators are 319,8123
The GCF of 7175,2252 is 1 .
LCM of 319,8123 is 2591237.
The greatest common factor of 7175/319,2252/8123 = [GCF of 7175,2252]/[LCM of 319,8123]= 1/2591237
Therefore, the GCF of 7175/319,2252/8123 is 1/2591237.
To find the highest common factor of 7175,2252, we have to find the factors of both numbers and list the highest common factor.
The factors of 7175 are 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175
The factors of 2252 are 1, 2, 4, 563, 1126, 2252
The HCF of 7175,2252 is 1.
Lets's calculate GCF of 7175,2252
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7175,2252 By Matching Biggest Common Factor Method
Now, list down the factors of 7175
:1,5,7,25,35,41,175,205,287,1025,1435,7175
Now, list down the factors of 2252
:1,2,4,563,1126,2252
Greatest Common Factor
We found the factors 7175,2252 . The biggest common factor number is the GCF number.
So the greatest common factor 7175,2252 is 1.
Lets's calculate LCM of 319,8123
Given numbers has no common factors except 1. So, there LCM is their product i.e 2591237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2591237
Therefore, the GCF of Fractions 7175/319,2252/8123 is 1/2591237
Least Common Multiple of 319,8123 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 319,8123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,8123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,8123) x common factors =1 x 1 = 1
LCM(319,8123) = ( 319 × 8123 ) / 1
LCM(319,8123) = 2591237 / 1
LCM(319,8123) = 2591237
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FAQs on GCF of Fractions of 7175/319, 2252/8123
1. What is the HCF of 7175,2252?
The HCF of 7175,2252 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 7175/319, 2252/8123?
Answer: GCF of Numerators as per given numbers 7175/319, 2252/8123 is
GCF of Numerators i.e. for 7175,2252 is 1
LCM of denominators i.e. for 319,8123 is 2591237.
Thus, GCF of Fractions is 1/2591237.Finally, GCF of Fractions for 7175/319, 2252/8123 is 1/2591237.