GCF of 1375/334, 7773/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1375/334, 7773/289 i.e 1/96526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1375/334, 7773/289.
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 1375/334,7773/289?
Given fractions are 1375/334,7773/289
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 1375/334,7773/289, numerators are 1375,7773
Denominators are 334,289
The GCF of 1375,7773 is 1 .
LCM of 334,289 is 96526.
The greatest common factor of 1375/334,7773/289 = [GCF of 1375,7773]/[LCM of 334,289]= 1/96526
Therefore, the GCF of 1375/334,7773/289 is 1/96526.
To find the highest common factor of 1375,7773, we have to find the factors of both numbers and list the highest common factor.
The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375
The factors of 7773 are 1, 3, 2591, 7773
The HCF of 1375,7773 is 1.
Lets's calculate GCF of 1375,7773
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1375,7773 By Matching Biggest Common Factor Method
Now, list down the factors of 1375
:1,5,11,25,55,125,275,1375
Now, list down the factors of 7773
:1,3,2591,7773
Greatest Common Factor
We found the factors 1375,7773 . The biggest common factor number is the GCF number.
So the greatest common factor 1375,7773 is 1.
Lets's calculate LCM of 334,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 96526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96526
Therefore, the GCF of Fractions 1375/334,7773/289 is 1/96526
Least Common Multiple of 334,289 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 334,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,289) x common factors =1 x 1 = 1
LCM(334,289) = ( 334 × 289 ) / 1
LCM(334,289) = 96526 / 1
LCM(334,289) = 96526
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FAQs on GCF of Fractions of 1375/334, 7773/289
1. What is the HCF of 1375,7773?
The HCF of 1375,7773 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 1375/334, 7773/289?
Answer: GCF of Numerators as per given numbers 1375/334, 7773/289 is
GCF of Numerators i.e. for 1375,7773 is 1
LCM of denominators i.e. for 334,289 is 96526.
Thus, GCF of Fractions is 1/96526.Finally, GCF of Fractions for 1375/334, 7773/289 is 1/96526.