How to Find GCF of 2828/379, 5500/754?

GCF of 2828/379, 5500/754

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 2828/379, 5500/754 i.e 4/285766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2828/379, 5500/754.

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 2828/379,5500/754?

Given fractions are 2828/379,5500/754

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 2828/379,5500/754, numerators are 2828,5500

Denominators are 379,754

The GCF of 2828,5500 is 4 .

LCM of 379,754 is 285766.

The greatest common factor of 2828/379,5500/754 = [GCF of 2828,5500]/[LCM of 379,754]= 4/285766

Therefore, the GCF of 2828/379,5500/754 is 4/285766.

Greatest Common Factor of 2828,5500

To find the highest common factor of 2828,5500, we have to find the factors of both numbers and list the highest common factor.

The factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828

The factors of 5500 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500

The HCF of 2828,5500 is 4.

Lets's calculate GCF of 2828,5500

Greatest Common Factor (GCF) of 2828,5500 By Common Division

2	2828, 5500
2	1414, 2750
	707, 1375

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2828,5500 By Matching Biggest Common Factor Method

Now, list down the factors of 2828

1,2,4,7,14,28,101,202,404,707,1414,2828

Now, list down the factors of 5500

1,2,4,5,10,11,20,22,25,44,50,55,100,110,125,220,250,275,500,550,1100,1375,2750,5500

Greatest Common Factor

We found the factors 2828,5500 . The biggest common factor number is the GCF number.
So the greatest common factor 2828,5500 is 4.

Lets's calculate LCM of 379,754

Lowest Common Multiple of 379,754 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 285766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/285766

Therefore, the GCF of Fractions 2828/379,5500/754 is 4/285766

Least Common Multiple of 379,754 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 379,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,754) = 1

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

GCF(379,754) x common factors =1 x 1 = 1

LCM(379,754) = ( 379 × 754 ) / 1

LCM(379,754) = 285766 / 1

LCM(379,754) = 285766

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2828/379, 5500/754

1. What is the HCF of 2828,5500?

The HCF of 2828,5500 is 4

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 2828/379, 5500/754?

Answer: GCF of Numerators as per given numbers 2828/379, 5500/754 is

GCF of Numerators i.e. for 2828,5500 is 4

LCM of denominators i.e. for 379,754 is 285766.

Thus, GCF of Fractions is 4/285766.Finally, GCF of Fractions for 2828/379, 5500/754 is 4/285766.