GCF of 1125/975, 6304/827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1125/975, 6304/827 i.e 1/806325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1125/975, 6304/827.
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 1125/975,6304/827?
Given fractions are 1125/975,6304/827
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 1125/975,6304/827, numerators are 1125,6304
Denominators are 975,827
The GCF of 1125,6304 is 1 .
LCM of 975,827 is 806325.
The greatest common factor of 1125/975,6304/827 = [GCF of 1125,6304]/[LCM of 975,827]= 1/806325
Therefore, the GCF of 1125/975,6304/827 is 1/806325.
To find the highest common factor of 1125,6304, we have to find the factors of both numbers and list the highest common factor.
The factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125
The factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304
The HCF of 1125,6304 is 1.
Lets's calculate GCF of 1125,6304
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1125,6304 By Matching Biggest Common Factor Method
Now, list down the factors of 1125
:1,3,5,9,15,25,45,75,125,225,375,1125
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 1125,6304 . The biggest common factor number is the GCF number.
So the greatest common factor 1125,6304 is 1.
Lets's calculate LCM of 975,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 806325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/806325
Therefore, the GCF of Fractions 1125/975,6304/827 is 1/806325
Least Common Multiple of 975,827 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 975,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,827) x common factors =1 x 1 = 1
LCM(975,827) = ( 975 × 827 ) / 1
LCM(975,827) = 806325 / 1
LCM(975,827) = 806325
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FAQs on GCF of Fractions of 1125/975, 6304/827
1. What is the HCF of 1125,6304?
The HCF of 1125,6304 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 1125/975, 6304/827?
Answer: GCF of Numerators as per given numbers 1125/975, 6304/827 is
GCF of Numerators i.e. for 1125,6304 is 1
LCM of denominators i.e. for 975,827 is 806325.
Thus, GCF of Fractions is 1/806325.Finally, GCF of Fractions for 1125/975, 6304/827 is 1/806325.