How to Find GCF of 5147/325, 9670/4163?

GCF of 5147/325, 9670/4163

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 5147/325, 9670/4163 i.e 1/1352975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5147/325, 9670/4163.

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 5147/325,9670/4163?

Given fractions are 5147/325,9670/4163

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 5147/325,9670/4163, numerators are 5147,9670

Denominators are 325,4163

The GCF of 5147,9670 is 1 .

LCM of 325,4163 is 1352975.

The greatest common factor of 5147/325,9670/4163 = [GCF of 5147,9670]/[LCM of 325,4163]= 1/1352975

Therefore, the GCF of 5147/325,9670/4163 is 1/1352975.

Greatest Common Factor of 5147,9670

To find the highest common factor of 5147,9670, we have to find the factors of both numbers and list the highest common factor.

The factors of 5147 are 1, 5147

The factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670

The HCF of 5147,9670 is 1.

Lets's calculate GCF of 5147,9670

Greatest Common Factor (GCF) of 5147,9670 By Common Division

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

Greatest Common Factor of 5147,9670 By Matching Biggest Common Factor Method

Now, list down the factors of 5147

1,5147

Now, list down the factors of 9670

1,2,5,10,967,1934,4835,9670

Greatest Common Factor

We found the factors 5147,9670 . The biggest common factor number is the GCF number.
So the greatest common factor 5147,9670 is 1.

Lets's calculate LCM of 325,4163

Lowest Common Multiple of 325,4163 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1352975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1352975

Therefore, the GCF of Fractions 5147/325,9670/4163 is 1/1352975

Least Common Multiple of 325,4163 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 325,4163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,4163) = 1

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

GCF(325,4163) x common factors =1 x 1 = 1

LCM(325,4163) = ( 325 × 4163 ) / 1

LCM(325,4163) = 1352975 / 1

LCM(325,4163) = 1352975

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FAQs on GCF of Fractions of 5147/325, 9670/4163

1. What is the HCF of 5147,9670?

The HCF of 5147,9670 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 5147/325, 9670/4163?

Answer: GCF of Numerators as per given numbers 5147/325, 9670/4163 is

GCF of Numerators i.e. for 5147,9670 is 1

LCM of denominators i.e. for 325,4163 is 1352975.

Thus, GCF of Fractions is 1/1352975.Finally, GCF of Fractions for 5147/325, 9670/4163 is 1/1352975.