How to Find GCF of 2633/761, 5274/2777?

GCF of 2633/761, 5274/2777

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 2633/761, 5274/2777 i.e 1/2113297 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2633/761, 5274/2777.

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 2633/761,5274/2777?

Given fractions are 2633/761,5274/2777

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 2633/761,5274/2777, numerators are 2633,5274

Denominators are 761,2777

The GCF of 2633,5274 is 1 .

LCM of 761,2777 is 2113297.

The greatest common factor of 2633/761,5274/2777 = [GCF of 2633,5274]/[LCM of 761,2777]= 1/2113297

Therefore, the GCF of 2633/761,5274/2777 is 1/2113297.

Greatest Common Factor of 2633,5274

To find the highest common factor of 2633,5274, we have to find the factors of both numbers and list the highest common factor.

The factors of 2633 are 1, 2633

The factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274

The HCF of 2633,5274 is 1.

Lets's calculate GCF of 2633,5274

Greatest Common Factor (GCF) of 2633,5274 By Common Division

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

Greatest Common Factor of 2633,5274 By Matching Biggest Common Factor Method

Now, list down the factors of 2633

1,2633

Now, list down the factors of 5274

1,2,3,6,9,18,293,586,879,1758,2637,5274

Greatest Common Factor

We found the factors 2633,5274 . The biggest common factor number is the GCF number.
So the greatest common factor 2633,5274 is 1.

Lets's calculate LCM of 761,2777

Lowest Common Multiple of 761,2777 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2113297

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2113297

Therefore, the GCF of Fractions 2633/761,5274/2777 is 1/2113297

Least Common Multiple of 761,2777 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 761,2777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,2777) = 1

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

GCF(761,2777) x common factors =1 x 1 = 1

LCM(761,2777) = ( 761 × 2777 ) / 1

LCM(761,2777) = 2113297 / 1

LCM(761,2777) = 2113297

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FAQs on GCF of Fractions of 2633/761, 5274/2777

1. What is the HCF of 2633,5274?

The HCF of 2633,5274 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 2633/761, 5274/2777?

Answer: GCF of Numerators as per given numbers 2633/761, 5274/2777 is

GCF of Numerators i.e. for 2633,5274 is 1

LCM of denominators i.e. for 761,2777 is 2113297.

Thus, GCF of Fractions is 1/2113297.Finally, GCF of Fractions for 2633/761, 5274/2777 is 1/2113297.