How to Find GCF of 3572/995, 1451/5904?

GCF of 3572/995, 1451/5904

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 3572/995, 1451/5904 i.e 1/5874480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3572/995, 1451/5904.

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 3572/995,1451/5904?

Given fractions are 3572/995,1451/5904

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 3572/995,1451/5904, numerators are 3572,1451

Denominators are 995,5904

The GCF of 3572,1451 is 1 .

LCM of 995,5904 is 5874480.

The greatest common factor of 3572/995,1451/5904 = [GCF of 3572,1451]/[LCM of 995,5904]= 1/5874480

Therefore, the GCF of 3572/995,1451/5904 is 1/5874480.

Greatest Common Factor of 3572,1451

To find the highest common factor of 3572,1451, we have to find the factors of both numbers and list the highest common factor.

The factors of 3572 are 1, 2, 4, 19, 38, 47, 76, 94, 188, 893, 1786, 3572

The factors of 1451 are 1, 1451

The HCF of 3572,1451 is 1.

Lets's calculate GCF of 3572,1451

Greatest Common Factor (GCF) of 3572,1451 By Common Division

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

Greatest Common Factor of 3572,1451 By Matching Biggest Common Factor Method

Now, list down the factors of 3572

1,2,4,19,38,47,76,94,188,893,1786,3572

Now, list down the factors of 1451

1,1451

Greatest Common Factor

We found the factors 3572,1451 . The biggest common factor number is the GCF number.
So the greatest common factor 3572,1451 is 1.

Lets's calculate LCM of 995,5904

Lowest Common Multiple of 995,5904 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5874480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5874480

Therefore, the GCF of Fractions 3572/995,1451/5904 is 1/5874480

Least Common Multiple of 995,5904 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 995,5904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,5904) = 1

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

GCF(995,5904) x common factors =1 x 1 = 1

LCM(995,5904) = ( 995 × 5904 ) / 1

LCM(995,5904) = 5874480 / 1

LCM(995,5904) = 5874480

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FAQs on GCF of Fractions of 3572/995, 1451/5904

1. What is the HCF of 3572,1451?

The HCF of 3572,1451 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 3572/995, 1451/5904?

Answer: GCF of Numerators as per given numbers 3572/995, 1451/5904 is

GCF of Numerators i.e. for 3572,1451 is 1

LCM of denominators i.e. for 995,5904 is 5874480.

Thus, GCF of Fractions is 1/5874480.Finally, GCF of Fractions for 3572/995, 1451/5904 is 1/5874480.