GCF of 8716/785, 4532/8079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8716/785, 4532/8079 i.e 4/6342015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8716/785, 4532/8079.
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 8716/785,4532/8079?
Given fractions are 8716/785,4532/8079
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 8716/785,4532/8079, numerators are 8716,4532
Denominators are 785,8079
The GCF of 8716,4532 is 4 .
LCM of 785,8079 is 6342015.
The greatest common factor of 8716/785,4532/8079 = [GCF of 8716,4532]/[LCM of 785,8079]= 4/6342015
Therefore, the GCF of 8716/785,4532/8079 is 4/6342015.
To find the highest common factor of 8716,4532, we have to find the factors of both numbers and list the highest common factor.
The factors of 8716 are 1, 2, 4, 2179, 4358, 8716
The factors of 4532 are 1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266, 4532
The HCF of 8716,4532 is 4.
Lets's calculate GCF of 8716,4532
| 2 | 8716, 4532 |
| 2 | 4358, 2266 |
| 2179, 1133 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8716,4532 By Matching Biggest Common Factor Method
Now, list down the factors of 8716
:1,2,4,2179,4358,8716
Now, list down the factors of 4532
:1,2,4,11,22,44,103,206,412,1133,2266,4532
Greatest Common Factor
We found the factors 8716,4532 . The biggest common factor number is the GCF number.
So the greatest common factor 8716,4532 is 4.
Lets's calculate LCM of 785,8079
Given numbers has no common factors except 1. So, there LCM is their product i.e 6342015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6342015
Therefore, the GCF of Fractions 8716/785,4532/8079 is 4/6342015
Least Common Multiple of 785,8079 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 785,8079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,8079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,8079) x common factors =1 x 1 = 1
LCM(785,8079) = ( 785 × 8079 ) / 1
LCM(785,8079) = 6342015 / 1
LCM(785,8079) = 6342015
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FAQs on GCF of Fractions of 8716/785, 4532/8079
1. What is the HCF of 8716,4532?
The HCF of 8716,4532 is 4
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 8716/785, 4532/8079?
Answer: GCF of Numerators as per given numbers 8716/785, 4532/8079 is
GCF of Numerators i.e. for 8716,4532 is 4
LCM of denominators i.e. for 785,8079 is 6342015.
Thus, GCF of Fractions is 4/6342015.Finally, GCF of Fractions for 8716/785, 4532/8079 is 4/6342015.