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GCF of 2333/580, 5107/978

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 2333/580, 5107/978 i.e 1/283620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2333/580, 5107/978.

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 2333/580,5107/978?

Given fractions are 2333/580,5107/978

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 2333/580,5107/978, numerators are 2333,5107

Denominators are 580,978

The GCF of 2333,5107 is 1 .

LCM of 580,978 is 283620.

The greatest common factor of 2333/580,5107/978 = [GCF of 2333,5107]/[LCM of 580,978]= 1/283620

Therefore, the GCF of 2333/580,5107/978 is 1/283620.

Greatest Common Factor of 2333,5107

To find the highest common factor of 2333,5107, we have to find the factors of both numbers and list the highest common factor.

The factors of 2333 are 1, 2333

The factors of 5107 are 1, 5107

The HCF of 2333,5107 is 1.

Lets's calculate GCF of 2333,5107

Greatest Common Factor (GCF) of 2333,5107 By Common Division

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

Greatest Common Factor of 2333,5107 By Matching Biggest Common Factor Method

Greatest Common Factor of 2333,5107 By Matching Biggest Common Factor Method

Now, list down the factors of 2333

:

1,2333

Now, list down the factors of 5107

:

1,5107

Greatest Common Factor

We found the factors 2333,5107 . The biggest common factor number is the GCF number.
So the greatest common factor 2333,5107 is 1.

Lets's calculate LCM of 580,978

Lowest Common Multiple of 580,978 using Common Division

2 580, 978
290, 489

∴ So the LCM of the given numbers is 2 x 290 x 489 = 283620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283620

Therefore, the GCF of Fractions 2333/580,5107/978 is 1/283620

Least Common Multiple of 580,978 with GCF Formula

Least Common Multiple of 580,978 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 580,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,978) = 2

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

GCF(580,978) x common factors =2 x 1 = 2

LCM(580,978) = ( 580 × 978 ) / 2

LCM(580,978) = 567240 / 2

LCM(580,978) = 283620


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FAQs on GCF of Fractions of 2333/580, 5107/978

1. What is the HCF of 2333,5107?

The HCF of 2333,5107 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 2333/580, 5107/978?

Answer: GCF of Numerators as per given numbers 2333/580, 5107/978 is

GCF of Numerators i.e. for 2333,5107 is 1

LCM of denominators i.e. for 580,978 is 283620.

Thus, GCF of Fractions is 1/283620.Finally, GCF of Fractions for 2333/580, 5107/978 is 1/283620.