How to Find GCF of 7073/574, 2783/152?

GCF of 7073/574, 2783/152

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 7073/574, 2783/152 i.e 11/43624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7073/574, 2783/152.

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 7073/574,2783/152?

Given fractions are 7073/574,2783/152

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 7073/574,2783/152, numerators are 7073,2783

Denominators are 574,152

The GCF of 7073,2783 is 11 .

LCM of 574,152 is 43624.

The greatest common factor of 7073/574,2783/152 = [GCF of 7073,2783]/[LCM of 574,152]= 11/43624

Therefore, the GCF of 7073/574,2783/152 is 11/43624.

Greatest Common Factor of 7073,2783

To find the highest common factor of 7073,2783, we have to find the factors of both numbers and list the highest common factor.

The factors of 7073 are 1, 11, 643, 7073

The factors of 2783 are 1, 11, 23, 121, 253, 2783

The HCF of 7073,2783 is 11.

Lets's calculate GCF of 7073,2783

Greatest Common Factor (GCF) of 7073,2783 By Common Division

11	7073, 2783
	643, 253

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

Greatest Common Factor of 7073,2783 By Matching Biggest Common Factor Method

Now, list down the factors of 7073

1,11,643,7073

Now, list down the factors of 2783

1,11,23,121,253,2783

Greatest Common Factor

We found the factors 7073,2783 . The biggest common factor number is the GCF number.
So the greatest common factor 7073,2783 is 11.

Lets's calculate LCM of 574,152

Lowest Common Multiple of 574,152 using Common Division

2	574, 152
	287, 76

∴ So the LCM of the given numbers is 2 x 287 x 76 = 43624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/43624

Therefore, the GCF of Fractions 7073/574,2783/152 is 11/43624

Least Common Multiple of 574,152 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 574,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,152) = 2

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

GCF(574,152) x common factors =2 x 1 = 2

LCM(574,152) = ( 574 × 152 ) / 2

LCM(574,152) = 87248 / 2

LCM(574,152) = 43624

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FAQs on GCF of Fractions of 7073/574, 2783/152

1. What is the HCF of 7073,2783?

The HCF of 7073,2783 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 7073/574, 2783/152?

Answer: GCF of Numerators as per given numbers 7073/574, 2783/152 is

GCF of Numerators i.e. for 7073,2783 is 11

LCM of denominators i.e. for 574,152 is 43624.

Thus, GCF of Fractions is 11/43624.Finally, GCF of Fractions for 7073/574, 2783/152 is 11/43624.