How to Find GCF of 1874/740, 5726/357?

GCF of 1874/740, 5726/357

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 1874/740, 5726/357 i.e 2/264180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1874/740, 5726/357.

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 1874/740,5726/357?

Given fractions are 1874/740,5726/357

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 1874/740,5726/357, numerators are 1874,5726

Denominators are 740,357

The GCF of 1874,5726 is 2 .

LCM of 740,357 is 264180.

The greatest common factor of 1874/740,5726/357 = [GCF of 1874,5726]/[LCM of 740,357]= 2/264180

Therefore, the GCF of 1874/740,5726/357 is 2/264180.

Greatest Common Factor of 1874,5726

To find the highest common factor of 1874,5726, we have to find the factors of both numbers and list the highest common factor.

The factors of 1874 are 1, 2, 937, 1874

The factors of 5726 are 1, 2, 7, 14, 409, 818, 2863, 5726

The HCF of 1874,5726 is 2.

Lets's calculate GCF of 1874,5726

Greatest Common Factor (GCF) of 1874,5726 By Common Division

2	1874, 5726
	937, 2863

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1874,5726 By Matching Biggest Common Factor Method

Now, list down the factors of 1874

1,2,937,1874

Now, list down the factors of 5726

1,2,7,14,409,818,2863,5726

Greatest Common Factor

We found the factors 1874,5726 . The biggest common factor number is the GCF number.
So the greatest common factor 1874,5726 is 2.

Lets's calculate LCM of 740,357

Lowest Common Multiple of 740,357 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 264180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/264180

Therefore, the GCF of Fractions 1874/740,5726/357 is 2/264180

Least Common Multiple of 740,357 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 740,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,357) = 1

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

GCF(740,357) x common factors =1 x 1 = 1

LCM(740,357) = ( 740 × 357 ) / 1

LCM(740,357) = 264180 / 1

LCM(740,357) = 264180

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FAQs on GCF of Fractions of 1874/740, 5726/357

1. What is the HCF of 1874,5726?

The HCF of 1874,5726 is 2

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 1874/740, 5726/357?

Answer: GCF of Numerators as per given numbers 1874/740, 5726/357 is

GCF of Numerators i.e. for 1874,5726 is 2

LCM of denominators i.e. for 740,357 is 264180.

Thus, GCF of Fractions is 2/264180.Finally, GCF of Fractions for 1874/740, 5726/357 is 2/264180.