GCF of 4045/917, 4712/402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4045/917, 4712/402 i.e 1/368634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4045/917, 4712/402.
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 4045/917,4712/402?
Given fractions are 4045/917,4712/402
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 4045/917,4712/402, numerators are 4045,4712
Denominators are 917,402
The GCF of 4045,4712 is 1 .
LCM of 917,402 is 368634.
The greatest common factor of 4045/917,4712/402 = [GCF of 4045,4712]/[LCM of 917,402]= 1/368634
Therefore, the GCF of 4045/917,4712/402 is 1/368634.
To find the highest common factor of 4045,4712, we have to find the factors of both numbers and list the highest common factor.
The factors of 4045 are 1, 5, 809, 4045
The factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712
The HCF of 4045,4712 is 1.
Lets's calculate GCF of 4045,4712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4045,4712 By Matching Biggest Common Factor Method
Now, list down the factors of 4045
:1,5,809,4045
Now, list down the factors of 4712
:1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712
Greatest Common Factor
We found the factors 4045,4712 . The biggest common factor number is the GCF number.
So the greatest common factor 4045,4712 is 1.
Lets's calculate LCM of 917,402
Given numbers has no common factors except 1. So, there LCM is their product i.e 368634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368634
Therefore, the GCF of Fractions 4045/917,4712/402 is 1/368634
Least Common Multiple of 917,402 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 917,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,402) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,402) x common factors =1 x 1 = 1
LCM(917,402) = ( 917 × 402 ) / 1
LCM(917,402) = 368634 / 1
LCM(917,402) = 368634
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FAQs on GCF of Fractions of 4045/917, 4712/402
1. What is the HCF of 4045,4712?
The HCF of 4045,4712 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 4045/917, 4712/402?
Answer: GCF of Numerators as per given numbers 4045/917, 4712/402 is
GCF of Numerators i.e. for 4045,4712 is 1
LCM of denominators i.e. for 917,402 is 368634.
Thus, GCF of Fractions is 1/368634.Finally, GCF of Fractions for 4045/917, 4712/402 is 1/368634.