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GCF of 1331/270, 6989/4587

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 1331/270, 6989/4587 i.e 1/412830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1331/270, 6989/4587.

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 1331/270,6989/4587?

Given fractions are 1331/270,6989/4587

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 1331/270,6989/4587, numerators are 1331,6989

Denominators are 270,4587

The GCF of 1331,6989 is 1 .

LCM of 270,4587 is 412830.

The greatest common factor of 1331/270,6989/4587 = [GCF of 1331,6989]/[LCM of 270,4587]= 1/412830

Therefore, the GCF of 1331/270,6989/4587 is 1/412830.

Greatest Common Factor of 1331,6989

To find the highest common factor of 1331,6989, we have to find the factors of both numbers and list the highest common factor.

The factors of 1331 are 1, 11, 121, 1331

The factors of 6989 are 1, 29, 241, 6989

The HCF of 1331,6989 is 1.

Lets's calculate GCF of 1331,6989

Greatest Common Factor (GCF) of 1331,6989 By Common Division

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

Greatest Common Factor of 1331,6989 By Matching Biggest Common Factor Method

Greatest Common Factor of 1331,6989 By Matching Biggest Common Factor Method

Now, list down the factors of 1331

:

1,11,121,1331

Now, list down the factors of 6989

:

1,29,241,6989

Greatest Common Factor

We found the factors 1331,6989 . The biggest common factor number is the GCF number.
So the greatest common factor 1331,6989 is 1.

Lets's calculate LCM of 270,4587

Lowest Common Multiple of 270,4587 using Common Division

3 270, 4587
90, 1529

∴ So the LCM of the given numbers is 3 x 90 x 1529 = 412830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412830

Therefore, the GCF of Fractions 1331/270,6989/4587 is 1/412830

Least Common Multiple of 270,4587 with GCF Formula

Least Common Multiple of 270,4587 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 270,4587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,4587) = 3

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

GCF(270,4587) x common factors =3 x 1 = 3

LCM(270,4587) = ( 270 × 4587 ) / 3

LCM(270,4587) = 1238490 / 3

LCM(270,4587) = 412830


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FAQs on GCF of Fractions of 1331/270, 6989/4587

1. What is the HCF of 1331,6989?

The HCF of 1331,6989 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 1331/270, 6989/4587?

Answer: GCF of Numerators as per given numbers 1331/270, 6989/4587 is

GCF of Numerators i.e. for 1331,6989 is 1

LCM of denominators i.e. for 270,4587 is 412830.

Thus, GCF of Fractions is 1/412830.Finally, GCF of Fractions for 1331/270, 6989/4587 is 1/412830.