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GCF of 1231/740, 5727/160

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 1231/740, 5727/160 i.e 1/5920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1231/740, 5727/160.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1231/740,5727/160?

Given fractions are 1231/740,5727/160

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 1231/740,5727/160, numerators are 1231,5727

Denominators are 740,160

The GCF of 1231,5727 is 1 .

LCM of 740,160 is 5920.

The greatest common factor of 1231/740,5727/160 = [GCF of 1231,5727]/[LCM of 740,160]= 1/5920

Therefore, the GCF of 1231/740,5727/160 is 1/5920.

Greatest Common Factor of 1231,5727

To find the highest common factor of 1231,5727, we have to find the factors of both numbers and list the highest common factor.

The factors of 1231 are 1, 1231

The factors of 5727 are 1, 3, 23, 69, 83, 249, 1909, 5727

The HCF of 1231,5727 is 1.

Lets's calculate GCF of 1231,5727

Greatest Common Factor (GCF) of 1231,5727 By Common Division

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

Greatest Common Factor of 1231,5727 By Matching Biggest Common Factor Method

Greatest Common Factor of 1231,5727 By Matching Biggest Common Factor Method

Now, list down the factors of 1231

:

1,1231

Now, list down the factors of 5727

:

1,3,23,69,83,249,1909,5727

Greatest Common Factor

We found the factors 1231,5727 . The biggest common factor number is the GCF number.
So the greatest common factor 1231,5727 is 1.

Lets's calculate LCM of 740,160

Lowest Common Multiple of 740,160 using Common Division

2 740, 160
2 370, 80
5 185, 40
37, 8

∴ So the LCM of the given numbers is 2 x 2 x 5 x 37 x 8 = 5920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5920

Therefore, the GCF of Fractions 1231/740,5727/160 is 1/5920

Least Common Multiple of 740,160 with GCF Formula

Least Common Multiple of 740,160 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 740,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,160) = 20

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

GCF(740,160) x common factors =20 x 1 = 20

LCM(740,160) = ( 740 × 160 ) / 20

LCM(740,160) = 118400 / 20

LCM(740,160) = 5920


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FAQs on GCF of Fractions of 1231/740, 5727/160

1. What is the HCF of 1231,5727?

The HCF of 1231,5727 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 1231/740, 5727/160?

Answer: GCF of Numerators as per given numbers 1231/740, 5727/160 is

GCF of Numerators i.e. for 1231,5727 is 1

LCM of denominators i.e. for 740,160 is 5920.

Thus, GCF of Fractions is 1/5920.Finally, GCF of Fractions for 1231/740, 5727/160 is 1/5920.