GCF of 5475/907, 6304/132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5475/907, 6304/132 i.e 1/119724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5475/907, 6304/132.
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 5475/907,6304/132?
Given fractions are 5475/907,6304/132
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 5475/907,6304/132, numerators are 5475,6304
Denominators are 907,132
The GCF of 5475,6304 is 1 .
LCM of 907,132 is 119724.
The greatest common factor of 5475/907,6304/132 = [GCF of 5475,6304]/[LCM of 907,132]= 1/119724
Therefore, the GCF of 5475/907,6304/132 is 1/119724.
To find the highest common factor of 5475,6304, we have to find the factors of both numbers and list the highest common factor.
The factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475
The factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304
The HCF of 5475,6304 is 1.
Lets's calculate GCF of 5475,6304
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5475,6304 By Matching Biggest Common Factor Method
Now, list down the factors of 5475
:1,3,5,15,25,73,75,219,365,1095,1825,5475
Now, list down the factors of 6304
:1,2,4,8,16,32,197,394,788,1576,3152,6304
Greatest Common Factor
We found the factors 5475,6304 . The biggest common factor number is the GCF number.
So the greatest common factor 5475,6304 is 1.
Lets's calculate LCM of 907,132
Given numbers has no common factors except 1. So, there LCM is their product i.e 119724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119724
Therefore, the GCF of Fractions 5475/907,6304/132 is 1/119724
Least Common Multiple of 907,132 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 907,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,132) x common factors =1 x 1 = 1
LCM(907,132) = ( 907 × 132 ) / 1
LCM(907,132) = 119724 / 1
LCM(907,132) = 119724
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FAQs on GCF of Fractions of 5475/907, 6304/132
1. What is the HCF of 5475,6304?
The HCF of 5475,6304 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 5475/907, 6304/132?
Answer: GCF of Numerators as per given numbers 5475/907, 6304/132 is
GCF of Numerators i.e. for 5475,6304 is 1
LCM of denominators i.e. for 907,132 is 119724.
Thus, GCF of Fractions is 1/119724.Finally, GCF of Fractions for 5475/907, 6304/132 is 1/119724.