How to Find GCF of 4510/314, 6667/8745?

GCF of 4510/314, 6667/8745

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4510/314, 6667/8745 i.e 1/2745930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4510/314, 6667/8745.

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 4510/314,6667/8745?

Given fractions are 4510/314,6667/8745

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 4510/314,6667/8745, numerators are 4510,6667

Denominators are 314,8745

The GCF of 4510,6667 is 1 .

LCM of 314,8745 is 2745930.

The greatest common factor of 4510/314,6667/8745 = [GCF of 4510,6667]/[LCM of 314,8745]= 1/2745930

Therefore, the GCF of 4510/314,6667/8745 is 1/2745930.

Greatest Common Factor of 4510,6667

To find the highest common factor of 4510,6667, we have to find the factors of both numbers and list the highest common factor.

The factors of 4510 are 1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 205, 410, 451, 902, 2255, 4510

The factors of 6667 are 1, 59, 113, 6667

The HCF of 4510,6667 is 1.

Lets's calculate GCF of 4510,6667

Greatest Common Factor (GCF) of 4510,6667 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4510,6667 By Matching Biggest Common Factor Method

Now, list down the factors of 4510

1,2,5,10,11,22,41,55,82,110,205,410,451,902,2255,4510

Now, list down the factors of 6667

1,59,113,6667

Greatest Common Factor

We found the factors 4510,6667 . The biggest common factor number is the GCF number.
So the greatest common factor 4510,6667 is 1.

Lets's calculate LCM of 314,8745

Lowest Common Multiple of 314,8745 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2745930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2745930

Therefore, the GCF of Fractions 4510/314,6667/8745 is 1/2745930

Least Common Multiple of 314,8745 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 314,8745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,8745) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(314,8745) x common factors =1 x 1 = 1

LCM(314,8745) = ( 314 × 8745 ) / 1

LCM(314,8745) = 2745930 / 1

LCM(314,8745) = 2745930

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FAQs on GCF of Fractions of 4510/314, 6667/8745

1. What is the HCF of 4510,6667?

The HCF of 4510,6667 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 4510/314, 6667/8745?

Answer: GCF of Numerators as per given numbers 4510/314, 6667/8745 is

GCF of Numerators i.e. for 4510,6667 is 1

LCM of denominators i.e. for 314,8745 is 2745930.

Thus, GCF of Fractions is 1/2745930.Finally, GCF of Fractions for 4510/314, 6667/8745 is 1/2745930.