GCF of 1351/303, 3875/7267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1351/303, 3875/7267 i.e 1/2201901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1351/303, 3875/7267.
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 1351/303,3875/7267?
Given fractions are 1351/303,3875/7267
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 1351/303,3875/7267, numerators are 1351,3875
Denominators are 303,7267
The GCF of 1351,3875 is 1 .
LCM of 303,7267 is 2201901.
The greatest common factor of 1351/303,3875/7267 = [GCF of 1351,3875]/[LCM of 303,7267]= 1/2201901
Therefore, the GCF of 1351/303,3875/7267 is 1/2201901.
To find the highest common factor of 1351,3875, we have to find the factors of both numbers and list the highest common factor.
The factors of 1351 are 1, 7, 193, 1351
The factors of 3875 are 1, 5, 25, 31, 125, 155, 775, 3875
The HCF of 1351,3875 is 1.
Lets's calculate GCF of 1351,3875
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1351,3875 By Matching Biggest Common Factor Method
Now, list down the factors of 1351
:1,7,193,1351
Now, list down the factors of 3875
:1,5,25,31,125,155,775,3875
Greatest Common Factor
We found the factors 1351,3875 . The biggest common factor number is the GCF number.
So the greatest common factor 1351,3875 is 1.
Lets's calculate LCM of 303,7267
Given numbers has no common factors except 1. So, there LCM is their product i.e 2201901
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2201901
Therefore, the GCF of Fractions 1351/303,3875/7267 is 1/2201901
Least Common Multiple of 303,7267 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 303,7267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,7267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,7267) x common factors =1 x 1 = 1
LCM(303,7267) = ( 303 × 7267 ) / 1
LCM(303,7267) = 2201901 / 1
LCM(303,7267) = 2201901
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FAQs on GCF of Fractions of 1351/303, 3875/7267
1. What is the HCF of 1351,3875?
The HCF of 1351,3875 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 1351/303, 3875/7267?
Answer: GCF of Numerators as per given numbers 1351/303, 3875/7267 is
GCF of Numerators i.e. for 1351,3875 is 1
LCM of denominators i.e. for 303,7267 is 2201901.
Thus, GCF of Fractions is 1/2201901.Finally, GCF of Fractions for 1351/303, 3875/7267 is 1/2201901.