How to Find GCF of 5972/354, 7577/5669?

GCF of 5972/354, 7577/5669

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 5972/354, 7577/5669 i.e 1/2006826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5972/354, 7577/5669.

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 5972/354,7577/5669?

Given fractions are 5972/354,7577/5669

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 5972/354,7577/5669, numerators are 5972,7577

Denominators are 354,5669

The GCF of 5972,7577 is 1 .

LCM of 354,5669 is 2006826.

The greatest common factor of 5972/354,7577/5669 = [GCF of 5972,7577]/[LCM of 354,5669]= 1/2006826

Therefore, the GCF of 5972/354,7577/5669 is 1/2006826.

Greatest Common Factor of 5972,7577

To find the highest common factor of 5972,7577, we have to find the factors of both numbers and list the highest common factor.

The factors of 5972 are 1, 2, 4, 1493, 2986, 5972

The factors of 7577 are 1, 7577

The HCF of 5972,7577 is 1.

Lets's calculate GCF of 5972,7577

Greatest Common Factor (GCF) of 5972,7577 By Common Division

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

Greatest Common Factor of 5972,7577 By Matching Biggest Common Factor Method

Now, list down the factors of 5972

1,2,4,1493,2986,5972

Now, list down the factors of 7577

1,7577

Greatest Common Factor

We found the factors 5972,7577 . The biggest common factor number is the GCF number.
So the greatest common factor 5972,7577 is 1.

Lets's calculate LCM of 354,5669

Lowest Common Multiple of 354,5669 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2006826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2006826

Therefore, the GCF of Fractions 5972/354,7577/5669 is 1/2006826

Least Common Multiple of 354,5669 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 354,5669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,5669) = 1

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

GCF(354,5669) x common factors =1 x 1 = 1

LCM(354,5669) = ( 354 × 5669 ) / 1

LCM(354,5669) = 2006826 / 1

LCM(354,5669) = 2006826

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FAQs on GCF of Fractions of 5972/354, 7577/5669

1. What is the HCF of 5972,7577?

The HCF of 5972,7577 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 5972/354, 7577/5669?

Answer: GCF of Numerators as per given numbers 5972/354, 7577/5669 is

GCF of Numerators i.e. for 5972,7577 is 1

LCM of denominators i.e. for 354,5669 is 2006826.

Thus, GCF of Fractions is 1/2006826.Finally, GCF of Fractions for 5972/354, 7577/5669 is 1/2006826.