How to Find GCF of 5970/375, 4573/9353?

GCF of 5970/375, 4573/9353

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 5970/375, 4573/9353 i.e 1/3507375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5970/375, 4573/9353.

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 5970/375,4573/9353?

Given fractions are 5970/375,4573/9353

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 5970/375,4573/9353, numerators are 5970,4573

Denominators are 375,9353

The GCF of 5970,4573 is 1 .

LCM of 375,9353 is 3507375.

The greatest common factor of 5970/375,4573/9353 = [GCF of 5970,4573]/[LCM of 375,9353]= 1/3507375

Therefore, the GCF of 5970/375,4573/9353 is 1/3507375.

Greatest Common Factor of 5970,4573

To find the highest common factor of 5970,4573, we have to find the factors of both numbers and list the highest common factor.

The factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970

The factors of 4573 are 1, 17, 269, 4573

The HCF of 5970,4573 is 1.

Lets's calculate GCF of 5970,4573

Greatest Common Factor (GCF) of 5970,4573 By Common Division

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

Greatest Common Factor of 5970,4573 By Matching Biggest Common Factor Method

Now, list down the factors of 5970

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Now, list down the factors of 4573

1,17,269,4573

Greatest Common Factor

We found the factors 5970,4573 . The biggest common factor number is the GCF number.
So the greatest common factor 5970,4573 is 1.

Lets's calculate LCM of 375,9353

Lowest Common Multiple of 375,9353 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3507375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3507375

Therefore, the GCF of Fractions 5970/375,4573/9353 is 1/3507375

Least Common Multiple of 375,9353 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 375,9353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,9353) = 1

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

GCF(375,9353) x common factors =1 x 1 = 1

LCM(375,9353) = ( 375 × 9353 ) / 1

LCM(375,9353) = 3507375 / 1

LCM(375,9353) = 3507375

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FAQs on GCF of Fractions of 5970/375, 4573/9353

1. What is the HCF of 5970,4573?

The HCF of 5970,4573 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 5970/375, 4573/9353?

Answer: GCF of Numerators as per given numbers 5970/375, 4573/9353 is

GCF of Numerators i.e. for 5970,4573 is 1

LCM of denominators i.e. for 375,9353 is 3507375.

Thus, GCF of Fractions is 1/3507375.Finally, GCF of Fractions for 5970/375, 4573/9353 is 1/3507375.