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GCF of 9375/745, 2159/3493

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 9375/745, 2159/3493 i.e 1/2602285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9375/745, 2159/3493.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9375/745,2159/3493?

Given fractions are 9375/745,2159/3493

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 9375/745,2159/3493, numerators are 9375,2159

Denominators are 745,3493

The GCF of 9375,2159 is 1 .

LCM of 745,3493 is 2602285.

The greatest common factor of 9375/745,2159/3493 = [GCF of 9375,2159]/[LCM of 745,3493]= 1/2602285

Therefore, the GCF of 9375/745,2159/3493 is 1/2602285.

Greatest Common Factor of 9375,2159

To find the highest common factor of 9375,2159, we have to find the factors of both numbers and list the highest common factor.

The factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375

The factors of 2159 are 1, 17, 127, 2159

The HCF of 9375,2159 is 1.

Lets's calculate GCF of 9375,2159

Greatest Common Factor (GCF) of 9375,2159 By Common Division

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

Greatest Common Factor of 9375,2159 By Matching Biggest Common Factor Method

Greatest Common Factor of 9375,2159 By Matching Biggest Common Factor Method

Now, list down the factors of 9375

:

1,3,5,15,25,75,125,375,625,1875,3125,9375

Now, list down the factors of 2159

:

1,17,127,2159

Greatest Common Factor

We found the factors 9375,2159 . The biggest common factor number is the GCF number.
So the greatest common factor 9375,2159 is 1.


Lets's calculate LCM of 745,3493

Lowest Common Multiple of 745,3493 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2602285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2602285

Therefore, the GCF of Fractions 9375/745,2159/3493 is 1/2602285

Least Common Multiple of 745,3493 with GCF Formula

Least Common Multiple of 745,3493 with GCF Formula

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

We need to calculate greatest common factor of 745,3493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,3493) = 1

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

GCF(745,3493) x common factors =1 x 1 = 1

LCM(745,3493) = ( 745 × 3493 ) / 1

LCM(745,3493) = 2602285 / 1

LCM(745,3493) = 2602285


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9375/745, 2159/3493

1. What is the HCF of 9375,2159?

The HCF of 9375,2159 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 9375/745, 2159/3493?

Answer: GCF of Numerators as per given numbers 9375/745, 2159/3493 is

GCF of Numerators i.e. for 9375,2159 is 1

LCM of denominators i.e. for 745,3493 is 2602285.

Thus, GCF of Fractions is 1/2602285.Finally, GCF of Fractions for 9375/745, 2159/3493 is 1/2602285.