How to Find GCF of 9544/975, 9139/4904?

GCF of 9544/975, 9139/4904

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 9544/975, 9139/4904 i.e 1/4781400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9544/975, 9139/4904.

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 9544/975,9139/4904?

Given fractions are 9544/975,9139/4904

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 9544/975,9139/4904, numerators are 9544,9139

Denominators are 975,4904

The GCF of 9544,9139 is 1 .

LCM of 975,4904 is 4781400.

The greatest common factor of 9544/975,9139/4904 = [GCF of 9544,9139]/[LCM of 975,4904]= 1/4781400

Therefore, the GCF of 9544/975,9139/4904 is 1/4781400.

Greatest Common Factor of 9544,9139

To find the highest common factor of 9544,9139, we have to find the factors of both numbers and list the highest common factor.

The factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544

The factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139

The HCF of 9544,9139 is 1.

Lets's calculate GCF of 9544,9139

Greatest Common Factor (GCF) of 9544,9139 By Common Division

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

Greatest Common Factor of 9544,9139 By Matching Biggest Common Factor Method

Now, list down the factors of 9544

1,2,4,8,1193,2386,4772,9544

Now, list down the factors of 9139

1,13,19,37,247,481,703,9139

Greatest Common Factor

We found the factors 9544,9139 . The biggest common factor number is the GCF number.
So the greatest common factor 9544,9139 is 1.

Lets's calculate LCM of 975,4904

Lowest Common Multiple of 975,4904 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4781400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4781400

Therefore, the GCF of Fractions 9544/975,9139/4904 is 1/4781400

Least Common Multiple of 975,4904 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 975,4904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,4904) = 1

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

GCF(975,4904) x common factors =1 x 1 = 1

LCM(975,4904) = ( 975 × 4904 ) / 1

LCM(975,4904) = 4781400 / 1

LCM(975,4904) = 4781400

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9544/975, 9139/4904

1. What is the HCF of 9544,9139?

The HCF of 9544,9139 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 9544/975, 9139/4904?

Answer: GCF of Numerators as per given numbers 9544/975, 9139/4904 is

GCF of Numerators i.e. for 9544,9139 is 1

LCM of denominators i.e. for 975,4904 is 4781400.

Thus, GCF of Fractions is 1/4781400.Finally, GCF of Fractions for 9544/975, 9139/4904 is 1/4781400.