How to Find GCF of 1451/750, 3627/2344?

GCF of 1451/750, 3627/2344

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 1451/750, 3627/2344 i.e 1/879000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1451/750, 3627/2344.

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 1451/750,3627/2344?

Given fractions are 1451/750,3627/2344

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 1451/750,3627/2344, numerators are 1451,3627

Denominators are 750,2344

The GCF of 1451,3627 is 1 .

LCM of 750,2344 is 879000.

The greatest common factor of 1451/750,3627/2344 = [GCF of 1451,3627]/[LCM of 750,2344]= 1/879000

Therefore, the GCF of 1451/750,3627/2344 is 1/879000.

Greatest Common Factor of 1451,3627

To find the highest common factor of 1451,3627, we have to find the factors of both numbers and list the highest common factor.

The factors of 1451 are 1, 1451

The factors of 3627 are 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627

The HCF of 1451,3627 is 1.

Lets's calculate GCF of 1451,3627

Greatest Common Factor (GCF) of 1451,3627 By Common Division

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

Greatest Common Factor of 1451,3627 By Matching Biggest Common Factor Method

Now, list down the factors of 1451

1,1451

Now, list down the factors of 3627

1,3,9,13,31,39,93,117,279,403,1209,3627

Greatest Common Factor

We found the factors 1451,3627 . The biggest common factor number is the GCF number.
So the greatest common factor 1451,3627 is 1.

Lets's calculate LCM of 750,2344

Lowest Common Multiple of 750,2344 using Common Division

2	750, 2344
	375, 1172

∴ So the LCM of the given numbers is 2 x 375 x 1172 = 879000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/879000

Therefore, the GCF of Fractions 1451/750,3627/2344 is 1/879000

Least Common Multiple of 750,2344 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 750,2344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,2344) = 2

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

GCF(750,2344) x common factors =2 x 1 = 2

LCM(750,2344) = ( 750 × 2344 ) / 2

LCM(750,2344) = 1758000 / 2

LCM(750,2344) = 879000

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FAQs on GCF of Fractions of 1451/750, 3627/2344

1. What is the HCF of 1451,3627?

The HCF of 1451,3627 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 1451/750, 3627/2344?

Answer: GCF of Numerators as per given numbers 1451/750, 3627/2344 is

GCF of Numerators i.e. for 1451,3627 is 1

LCM of denominators i.e. for 750,2344 is 879000.

Thus, GCF of Fractions is 1/879000.Finally, GCF of Fractions for 1451/750, 3627/2344 is 1/879000.