GCF of 747/93, 875/9905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 747/93, 875/9905 i.e 1/921165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/93, 875/9905.
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 747/93,875/9905?
Given fractions are 747/93,875/9905
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 747/93,875/9905, numerators are 747,875
Denominators are 93,9905
The GCF of 747,875 is 1 .
LCM of 93,9905 is 921165.
The greatest common factor of 747/93,875/9905 = [GCF of 747,875]/[LCM of 93,9905]= 1/921165
Therefore, the GCF of 747/93,875/9905 is 1/921165.
To find the highest common factor of 747,875, we have to find the factors of both numbers and list the highest common factor.
The factors of 747 are 1, 3, 9, 83, 249, 747
The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875
The HCF of 747,875 is 1.
Lets's calculate GCF of 747,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 747,875 By Matching Biggest Common Factor Method
Now, list down the factors of 747
:1,3,9,83,249,747
Now, list down the factors of 875
:1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 747,875 . The biggest common factor number is the GCF number.
So the greatest common factor 747,875 is 1.
Lets's calculate LCM of 93,9905
Given numbers has no common factors except 1. So, there LCM is their product i.e 921165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/921165
Therefore, the GCF of Fractions 747/93,875/9905 is 1/921165
Least Common Multiple of 93,9905 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 93,9905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,9905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,9905) x common factors =1 x 1 = 1
LCM(93,9905) = ( 93 × 9905 ) / 1
LCM(93,9905) = 921165 / 1
LCM(93,9905) = 921165
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FAQs on GCF of Fractions of 747/93, 875/9905
1. What is the HCF of 747,875?
The HCF of 747,875 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 747/93, 875/9905?
Answer: GCF of Numerators as per given numbers 747/93, 875/9905 is
GCF of Numerators i.e. for 747,875 is 1
LCM of denominators i.e. for 93,9905 is 921165.
Thus, GCF of Fractions is 1/921165.Finally, GCF of Fractions for 747/93, 875/9905 is 1/921165.