How to Find GCF of 5009/978, 5672/4358?

GCF of 5009/978, 5672/4358

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 5009/978, 5672/4358 i.e 1/2131062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5009/978, 5672/4358.

Enter two or more fractions separated by "commas"

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

What is the GCF of 5009/978,5672/4358?

Given fractions are 5009/978,5672/4358

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 5009/978,5672/4358, numerators are 5009,5672

Denominators are 978,4358

The GCF of 5009,5672 is 1 .

LCM of 978,4358 is 2131062.

The greatest common factor of 5009/978,5672/4358 = [GCF of 5009,5672]/[LCM of 978,4358]= 1/2131062

Therefore, the GCF of 5009/978,5672/4358 is 1/2131062.

Greatest Common Factor of 5009,5672

To find the highest common factor of 5009,5672, we have to find the factors of both numbers and list the highest common factor.

The factors of 5009 are 1, 5009

The factors of 5672 are 1, 2, 4, 8, 709, 1418, 2836, 5672

The HCF of 5009,5672 is 1.

Lets's calculate GCF of 5009,5672

Greatest Common Factor (GCF) of 5009,5672 By Common Division

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

Greatest Common Factor of 5009,5672 By Matching Biggest Common Factor Method

Now, list down the factors of 5009

1,5009

Now, list down the factors of 5672

1,2,4,8,709,1418,2836,5672

Greatest Common Factor

We found the factors 5009,5672 . The biggest common factor number is the GCF number.
So the greatest common factor 5009,5672 is 1.

Lets's calculate LCM of 978,4358

Lowest Common Multiple of 978,4358 using Common Division

2	978, 4358
	489, 2179

∴ So the LCM of the given numbers is 2 x 489 x 2179 = 2131062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2131062

Therefore, the GCF of Fractions 5009/978,5672/4358 is 1/2131062

Least Common Multiple of 978,4358 with GCF Formula

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

We need to calculate greatest common factor of 978,4358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,4358) = 2

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

GCF(978,4358) x common factors =2 x 1 = 2

LCM(978,4358) = ( 978 × 4358 ) / 2

LCM(978,4358) = 4262124 / 2

LCM(978,4358) = 2131062

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5009/978, 5672/4358

1. What is the HCF of 5009,5672?

The HCF of 5009,5672 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 5009/978, 5672/4358?

Answer: GCF of Numerators as per given numbers 5009/978, 5672/4358 is

GCF of Numerators i.e. for 5009,5672 is 1

LCM of denominators i.e. for 978,4358 is 2131062.

Thus, GCF of Fractions is 1/2131062.Finally, GCF of Fractions for 5009/978, 5672/4358 is 1/2131062.