How to Find GCF of 5027/718, 6908/2783?

GCF of 5027/718, 6908/2783

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 5027/718, 6908/2783 i.e 11/1998194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5027/718, 6908/2783.

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 5027/718,6908/2783?

Given fractions are 5027/718,6908/2783

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 5027/718,6908/2783, numerators are 5027,6908

Denominators are 718,2783

The GCF of 5027,6908 is 11 .

LCM of 718,2783 is 1998194.

The greatest common factor of 5027/718,6908/2783 = [GCF of 5027,6908]/[LCM of 718,2783]= 11/1998194

Therefore, the GCF of 5027/718,6908/2783 is 11/1998194.

Greatest Common Factor of 5027,6908

To find the highest common factor of 5027,6908, we have to find the factors of both numbers and list the highest common factor.

The factors of 5027 are 1, 11, 457, 5027

The factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908

The HCF of 5027,6908 is 11.

Lets's calculate GCF of 5027,6908

Greatest Common Factor (GCF) of 5027,6908 By Common Division

11	5027, 6908
	457, 628

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5027,6908 By Matching Biggest Common Factor Method

Now, list down the factors of 5027

1,11,457,5027

Now, list down the factors of 6908

1,2,4,11,22,44,157,314,628,1727,3454,6908

Greatest Common Factor

We found the factors 5027,6908 . The biggest common factor number is the GCF number.
So the greatest common factor 5027,6908 is 11.

Lets's calculate LCM of 718,2783

Lowest Common Multiple of 718,2783 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1998194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1998194

Therefore, the GCF of Fractions 5027/718,6908/2783 is 11/1998194

Least Common Multiple of 718,2783 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 718,2783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,2783) = 1

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

GCF(718,2783) x common factors =1 x 1 = 1

LCM(718,2783) = ( 718 × 2783 ) / 1

LCM(718,2783) = 1998194 / 1

LCM(718,2783) = 1998194

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5027/718, 6908/2783

1. What is the HCF of 5027,6908?

The HCF of 5027,6908 is 11

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 5027/718, 6908/2783?

Answer: GCF of Numerators as per given numbers 5027/718, 6908/2783 is

GCF of Numerators i.e. for 5027,6908 is 11

LCM of denominators i.e. for 718,2783 is 1998194.

Thus, GCF of Fractions is 11/1998194.Finally, GCF of Fractions for 5027/718, 6908/2783 is 11/1998194.