How to Find GCF of 8745/175, 2354/5923?

GCF of 8745/175, 2354/5923

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 8745/175, 2354/5923 i.e 11/1036525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8745/175, 2354/5923.

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 8745/175,2354/5923?

Given fractions are 8745/175,2354/5923

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 8745/175,2354/5923, numerators are 8745,2354

Denominators are 175,5923

The GCF of 8745,2354 is 11 .

LCM of 175,5923 is 1036525.

The greatest common factor of 8745/175,2354/5923 = [GCF of 8745,2354]/[LCM of 175,5923]= 11/1036525

Therefore, the GCF of 8745/175,2354/5923 is 11/1036525.

Greatest Common Factor of 8745,2354

To find the highest common factor of 8745,2354, we have to find the factors of both numbers and list the highest common factor.

The factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745

The factors of 2354 are 1, 2, 11, 22, 107, 214, 1177, 2354

The HCF of 8745,2354 is 11.

Lets's calculate GCF of 8745,2354

Greatest Common Factor (GCF) of 8745,2354 By Common Division

11	8745, 2354
	795, 214

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 8745,2354 By Matching Biggest Common Factor Method

Now, list down the factors of 8745

1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745

Now, list down the factors of 2354

1,2,11,22,107,214,1177,2354

Greatest Common Factor

We found the factors 8745,2354 . The biggest common factor number is the GCF number.
So the greatest common factor 8745,2354 is 11.

Lets's calculate LCM of 175,5923

Lowest Common Multiple of 175,5923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1036525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1036525

Therefore, the GCF of Fractions 8745/175,2354/5923 is 11/1036525

Least Common Multiple of 175,5923 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 175,5923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,5923) = 1

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

GCF(175,5923) x common factors =1 x 1 = 1

LCM(175,5923) = ( 175 × 5923 ) / 1

LCM(175,5923) = 1036525 / 1

LCM(175,5923) = 1036525

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8745/175, 2354/5923

1. What is the HCF of 8745,2354?

The HCF of 8745,2354 is 11

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 8745/175, 2354/5923?

Answer: GCF of Numerators as per given numbers 8745/175, 2354/5923 is

GCF of Numerators i.e. for 8745,2354 is 11

LCM of denominators i.e. for 175,5923 is 1036525.

Thus, GCF of Fractions is 11/1036525.Finally, GCF of Fractions for 8745/175, 2354/5923 is 11/1036525.