GCF of 1201/807, 7257/952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1201/807, 7257/952 i.e 1/768264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1201/807, 7257/952.
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 1201/807,7257/952?
Given fractions are 1201/807,7257/952
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 1201/807,7257/952, numerators are 1201,7257
Denominators are 807,952
The GCF of 1201,7257 is 1 .
LCM of 807,952 is 768264.
The greatest common factor of 1201/807,7257/952 = [GCF of 1201,7257]/[LCM of 807,952]= 1/768264
Therefore, the GCF of 1201/807,7257/952 is 1/768264.
To find the highest common factor of 1201,7257, we have to find the factors of both numbers and list the highest common factor.
The factors of 1201 are 1, 1201
The factors of 7257 are 1, 3, 41, 59, 123, 177, 2419, 7257
The HCF of 1201,7257 is 1.
Lets's calculate GCF of 1201,7257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1201,7257 By Matching Biggest Common Factor Method
Now, list down the factors of 1201
:1,1201
Now, list down the factors of 7257
:1,3,41,59,123,177,2419,7257
Greatest Common Factor
We found the factors 1201,7257 . The biggest common factor number is the GCF number.
So the greatest common factor 1201,7257 is 1.
Lets's calculate LCM of 807,952
Given numbers has no common factors except 1. So, there LCM is their product i.e 768264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/768264
Therefore, the GCF of Fractions 1201/807,7257/952 is 1/768264
Least Common Multiple of 807,952 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 807,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,952) x common factors =1 x 1 = 1
LCM(807,952) = ( 807 × 952 ) / 1
LCM(807,952) = 768264 / 1
LCM(807,952) = 768264
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FAQs on GCF of Fractions of 1201/807, 7257/952
1. What is the HCF of 1201,7257?
The HCF of 1201,7257 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 1201/807, 7257/952?
Answer: GCF of Numerators as per given numbers 1201/807, 7257/952 is
GCF of Numerators i.e. for 1201,7257 is 1
LCM of denominators i.e. for 807,952 is 768264.
Thus, GCF of Fractions is 1/768264.Finally, GCF of Fractions for 1201/807, 7257/952 is 1/768264.