GCF of 8935/753, 4112/6203
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8935/753, 4112/6203 i.e 1/4670859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8935/753, 4112/6203.
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 8935/753,4112/6203?
Given fractions are 8935/753,4112/6203
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 8935/753,4112/6203, numerators are 8935,4112
Denominators are 753,6203
The GCF of 8935,4112 is 1 .
LCM of 753,6203 is 4670859.
The greatest common factor of 8935/753,4112/6203 = [GCF of 8935,4112]/[LCM of 753,6203]= 1/4670859
Therefore, the GCF of 8935/753,4112/6203 is 1/4670859.
To find the highest common factor of 8935,4112, we have to find the factors of both numbers and list the highest common factor.
The factors of 8935 are 1, 5, 1787, 8935
The factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112
The HCF of 8935,4112 is 1.
Lets's calculate GCF of 8935,4112
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8935,4112 By Matching Biggest Common Factor Method
Now, list down the factors of 8935
:1,5,1787,8935
Now, list down the factors of 4112
:1,2,4,8,16,257,514,1028,2056,4112
Greatest Common Factor
We found the factors 8935,4112 . The biggest common factor number is the GCF number.
So the greatest common factor 8935,4112 is 1.
Lets's calculate LCM of 753,6203
Given numbers has no common factors except 1. So, there LCM is their product i.e 4670859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4670859
Therefore, the GCF of Fractions 8935/753,4112/6203 is 1/4670859
Least Common Multiple of 753,6203 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 753,6203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,6203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,6203) x common factors =1 x 1 = 1
LCM(753,6203) = ( 753 × 6203 ) / 1
LCM(753,6203) = 4670859 / 1
LCM(753,6203) = 4670859
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FAQs on GCF of Fractions of 8935/753, 4112/6203
1. What is the HCF of 8935,4112?
The HCF of 8935,4112 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 8935/753, 4112/6203?
Answer: GCF of Numerators as per given numbers 8935/753, 4112/6203 is
GCF of Numerators i.e. for 8935,4112 is 1
LCM of denominators i.e. for 753,6203 is 4670859.
Thus, GCF of Fractions is 1/4670859.Finally, GCF of Fractions for 8935/753, 4112/6203 is 1/4670859.