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GCF of 1331/245, 8069/2858

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 1331/245, 8069/2858 i.e 1/700210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1331/245, 8069/2858.

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 1331/245,8069/2858?

Given fractions are 1331/245,8069/2858

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 1331/245,8069/2858, numerators are 1331,8069

Denominators are 245,2858

The GCF of 1331,8069 is 1 .

LCM of 245,2858 is 700210.

The greatest common factor of 1331/245,8069/2858 = [GCF of 1331,8069]/[LCM of 245,2858]= 1/700210

Therefore, the GCF of 1331/245,8069/2858 is 1/700210.

Greatest Common Factor of 1331,8069

To find the highest common factor of 1331,8069, 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 8069 are 1, 8069

The HCF of 1331,8069 is 1.

Lets's calculate GCF of 1331,8069

Greatest Common Factor (GCF) of 1331,8069 By Common Division

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

Greatest Common Factor of 1331,8069 By Matching Biggest Common Factor Method

Greatest Common Factor of 1331,8069 By Matching Biggest Common Factor Method

Now, list down the factors of 1331

:

1,11,121,1331

Now, list down the factors of 8069

:

1,8069

Greatest Common Factor

We found the factors 1331,8069 . The biggest common factor number is the GCF number.
So the greatest common factor 1331,8069 is 1.

Lets's calculate LCM of 245,2858

Lowest Common Multiple of 245,2858 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 700210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700210

Therefore, the GCF of Fractions 1331/245,8069/2858 is 1/700210

Least Common Multiple of 245,2858 with GCF Formula

Least Common Multiple of 245,2858 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 245,2858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,2858) = 1

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

GCF(245,2858) x common factors =1 x 1 = 1

LCM(245,2858) = ( 245 × 2858 ) / 1

LCM(245,2858) = 700210 / 1

LCM(245,2858) = 700210


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FAQs on GCF of Fractions of 1331/245, 8069/2858

1. What is the HCF of 1331,8069?

The HCF of 1331,8069 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 1331/245, 8069/2858?

Answer: GCF of Numerators as per given numbers 1331/245, 8069/2858 is

GCF of Numerators i.e. for 1331,8069 is 1

LCM of denominators i.e. for 245,2858 is 700210.

Thus, GCF of Fractions is 1/700210.Finally, GCF of Fractions for 1331/245, 8069/2858 is 1/700210.