How to Find GCF of 5024/928, 2884/7533?

GCF of 5024/928, 2884/7533

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 5024/928, 2884/7533 i.e 4/6990624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5024/928, 2884/7533.

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 5024/928,2884/7533?

Given fractions are 5024/928,2884/7533

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 5024/928,2884/7533, numerators are 5024,2884

Denominators are 928,7533

The GCF of 5024,2884 is 4 .

LCM of 928,7533 is 6990624.

The greatest common factor of 5024/928,2884/7533 = [GCF of 5024,2884]/[LCM of 928,7533]= 4/6990624

Therefore, the GCF of 5024/928,2884/7533 is 4/6990624.

Greatest Common Factor of 5024,2884

To find the highest common factor of 5024,2884, we have to find the factors of both numbers and list the highest common factor.

The factors of 5024 are 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024

The factors of 2884 are 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442, 2884

The HCF of 5024,2884 is 4.

Lets's calculate GCF of 5024,2884

Greatest Common Factor (GCF) of 5024,2884 By Common Division

2	5024, 2884
2	2512, 1442
	1256, 721

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

Greatest Common Factor of 5024,2884 By Matching Biggest Common Factor Method

Now, list down the factors of 5024

1,2,4,8,16,32,157,314,628,1256,2512,5024

Now, list down the factors of 2884

1,2,4,7,14,28,103,206,412,721,1442,2884

Greatest Common Factor

We found the factors 5024,2884 . The biggest common factor number is the GCF number.
So the greatest common factor 5024,2884 is 4.

Lets's calculate LCM of 928,7533

Lowest Common Multiple of 928,7533 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6990624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6990624

Therefore, the GCF of Fractions 5024/928,2884/7533 is 4/6990624

Least Common Multiple of 928,7533 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 928,7533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,7533) = 1

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

GCF(928,7533) x common factors =1 x 1 = 1

LCM(928,7533) = ( 928 × 7533 ) / 1

LCM(928,7533) = 6990624 / 1

LCM(928,7533) = 6990624

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5024/928, 2884/7533

1. What is the HCF of 5024,2884?

The HCF of 5024,2884 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 5024/928, 2884/7533?

Answer: GCF of Numerators as per given numbers 5024/928, 2884/7533 is

GCF of Numerators i.e. for 5024,2884 is 4

LCM of denominators i.e. for 928,7533 is 6990624.

Thus, GCF of Fractions is 4/6990624.Finally, GCF of Fractions for 5024/928, 2884/7533 is 4/6990624.