How to Find GCF of 4853/957, 9507/9034?

GCF of 4853/957, 9507/9034

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 4853/957, 9507/9034 i.e 1/8645538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4853/957, 9507/9034.

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 4853/957,9507/9034?

Given fractions are 4853/957,9507/9034

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 4853/957,9507/9034, numerators are 4853,9507

Denominators are 957,9034

The GCF of 4853,9507 is 1 .

LCM of 957,9034 is 8645538.

The greatest common factor of 4853/957,9507/9034 = [GCF of 4853,9507]/[LCM of 957,9034]= 1/8645538

Therefore, the GCF of 4853/957,9507/9034 is 1/8645538.

Greatest Common Factor of 4853,9507

To find the highest common factor of 4853,9507, we have to find the factors of both numbers and list the highest common factor.

The factors of 4853 are 1, 23, 211, 4853

The factors of 9507 are 1, 3, 3169, 9507

The HCF of 4853,9507 is 1.

Lets's calculate GCF of 4853,9507

Greatest Common Factor (GCF) of 4853,9507 By Common Division

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

Greatest Common Factor of 4853,9507 By Matching Biggest Common Factor Method

Now, list down the factors of 4853

1,23,211,4853

Now, list down the factors of 9507

1,3,3169,9507

Greatest Common Factor

We found the factors 4853,9507 . The biggest common factor number is the GCF number.
So the greatest common factor 4853,9507 is 1.

Lets's calculate LCM of 957,9034

Lowest Common Multiple of 957,9034 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8645538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8645538

Therefore, the GCF of Fractions 4853/957,9507/9034 is 1/8645538

Least Common Multiple of 957,9034 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 957,9034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,9034) = 1

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

GCF(957,9034) x common factors =1 x 1 = 1

LCM(957,9034) = ( 957 × 9034 ) / 1

LCM(957,9034) = 8645538 / 1

LCM(957,9034) = 8645538

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FAQs on GCF of Fractions of 4853/957, 9507/9034

1. What is the HCF of 4853,9507?

The HCF of 4853,9507 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 4853/957, 9507/9034?

Answer: GCF of Numerators as per given numbers 4853/957, 9507/9034 is

GCF of Numerators i.e. for 4853,9507 is 1

LCM of denominators i.e. for 957,9034 is 8645538.

Thus, GCF of Fractions is 1/8645538.Finally, GCF of Fractions for 4853/957, 9507/9034 is 1/8645538.