How to Find GCF of 743/824, 280/548?

GCF of 743/824, 280/548

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 743/824, 280/548 i.e 1/112888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/824, 280/548.

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 743/824,280/548?

Given fractions are 743/824,280/548

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 743/824,280/548, numerators are 743,280

Denominators are 824,548

The GCF of 743,280 is 1 .

LCM of 824,548 is 112888.

The greatest common factor of 743/824,280/548 = [GCF of 743,280]/[LCM of 824,548]= 1/112888

Therefore, the GCF of 743/824,280/548 is 1/112888.

Greatest Common Factor of 743,280

To find the highest common factor of 743,280, we have to find the factors of both numbers and list the highest common factor.

The factors of 743 are 1, 743

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The HCF of 743,280 is 1.

Lets's calculate GCF of 743,280

Greatest Common Factor (GCF) of 743,280 By Common Division

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

Greatest Common Factor of 743,280 By Matching Biggest Common Factor Method

Now, list down the factors of 743

1,743

Now, list down the factors of 280

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 743,280 . The biggest common factor number is the GCF number.
So the greatest common factor 743,280 is 1.

Lets's calculate LCM of 824,548

Lowest Common Multiple of 824,548 using Common Division

2	824, 548
2	412, 274
	206, 137

∴ So the LCM of the given numbers is 2 x 2 x 206 x 137 = 112888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112888

Therefore, the GCF of Fractions 743/824,280/548 is 1/112888

Least Common Multiple of 824,548 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 824,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,548) = 4

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

GCF(824,548) x common factors =4 x 1 = 4

LCM(824,548) = ( 824 × 548 ) / 4

LCM(824,548) = 451552 / 4

LCM(824,548) = 112888

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FAQs on GCF of Fractions of 743/824, 280/548

1. What is the HCF of 743,280?

The HCF of 743,280 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 743/824, 280/548?

Answer: GCF of Numerators as per given numbers 743/824, 280/548 is

GCF of Numerators i.e. for 743,280 is 1

LCM of denominators i.e. for 824,548 is 112888.

Thus, GCF of Fractions is 1/112888.Finally, GCF of Fractions for 743/824, 280/548 is 1/112888.