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GCF of 1063/241, 2830/649

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 1063/241, 2830/649 i.e 1/156409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1063/241, 2830/649.

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 1063/241,2830/649?

Given fractions are 1063/241,2830/649

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 1063/241,2830/649, numerators are 1063,2830

Denominators are 241,649

The GCF of 1063,2830 is 1 .

LCM of 241,649 is 156409.

The greatest common factor of 1063/241,2830/649 = [GCF of 1063,2830]/[LCM of 241,649]= 1/156409

Therefore, the GCF of 1063/241,2830/649 is 1/156409.

Greatest Common Factor of 1063,2830

To find the highest common factor of 1063,2830, we have to find the factors of both numbers and list the highest common factor.

The factors of 1063 are 1, 1063

The factors of 2830 are 1, 2, 5, 10, 283, 566, 1415, 2830

The HCF of 1063,2830 is 1.

Lets's calculate GCF of 1063,2830

Greatest Common Factor (GCF) of 1063,2830 By Common Division

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

Greatest Common Factor of 1063,2830 By Matching Biggest Common Factor Method

Greatest Common Factor of 1063,2830 By Matching Biggest Common Factor Method

Now, list down the factors of 1063

:

1,1063

Now, list down the factors of 2830

:

1,2,5,10,283,566,1415,2830

Greatest Common Factor

We found the factors 1063,2830 . The biggest common factor number is the GCF number.
So the greatest common factor 1063,2830 is 1.

Lets's calculate LCM of 241,649

Lowest Common Multiple of 241,649 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 156409

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156409

Therefore, the GCF of Fractions 1063/241,2830/649 is 1/156409

Least Common Multiple of 241,649 with GCF Formula

Least Common Multiple of 241,649 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 241,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,649) = 1

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

GCF(241,649) x common factors =1 x 1 = 1

LCM(241,649) = ( 241 × 649 ) / 1

LCM(241,649) = 156409 / 1

LCM(241,649) = 156409


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FAQs on GCF of Fractions of 1063/241, 2830/649

1. What is the HCF of 1063,2830?

The HCF of 1063,2830 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 1063/241, 2830/649?

Answer: GCF of Numerators as per given numbers 1063/241, 2830/649 is

GCF of Numerators i.e. for 1063,2830 is 1

LCM of denominators i.e. for 241,649 is 156409.

Thus, GCF of Fractions is 1/156409.Finally, GCF of Fractions for 1063/241, 2830/649 is 1/156409.