How to Find GCF of 7496/420, 4096/3604?

GCF of 7496/420, 4096/3604

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 7496/420, 4096/3604 i.e 8/378420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7496/420, 4096/3604.

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 7496/420,4096/3604?

Given fractions are 7496/420,4096/3604

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 7496/420,4096/3604, numerators are 7496,4096

Denominators are 420,3604

The GCF of 7496,4096 is 8 .

LCM of 420,3604 is 378420.

The greatest common factor of 7496/420,4096/3604 = [GCF of 7496,4096]/[LCM of 420,3604]= 8/378420

Therefore, the GCF of 7496/420,4096/3604 is 8/378420.

Greatest Common Factor of 7496,4096

To find the highest common factor of 7496,4096, we have to find the factors of both numbers and list the highest common factor.

The factors of 7496 are 1, 2, 4, 8, 937, 1874, 3748, 7496

The factors of 4096 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096

The HCF of 7496,4096 is 8.

Lets's calculate GCF of 7496,4096

Greatest Common Factor (GCF) of 7496,4096 By Common Division

2	7496, 4096
2	3748, 2048
2	1874, 1024
	937, 512

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7496,4096 By Matching Biggest Common Factor Method

Now, list down the factors of 7496

1,2,4,8,937,1874,3748,7496

Now, list down the factors of 4096

1,2,4,8,16,32,64,128,256,512,1024,2048,4096

Greatest Common Factor

We found the factors 7496,4096 . The biggest common factor number is the GCF number.
So the greatest common factor 7496,4096 is 8.

Lets's calculate LCM of 420,3604

Lowest Common Multiple of 420,3604 using Common Division

2	420, 3604
2	210, 1802
	105, 901

∴ So the LCM of the given numbers is 2 x 2 x 105 x 901 = 378420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/378420

Therefore, the GCF of Fractions 7496/420,4096/3604 is 8/378420

Least Common Multiple of 420,3604 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 420,3604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,3604) = 4

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

GCF(420,3604) x common factors =4 x 1 = 4

LCM(420,3604) = ( 420 × 3604 ) / 4

LCM(420,3604) = 1513680 / 4

LCM(420,3604) = 378420

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FAQs on GCF of Fractions of 7496/420, 4096/3604

1. What is the HCF of 7496,4096?

The HCF of 7496,4096 is 8

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 7496/420, 4096/3604?

Answer: GCF of Numerators as per given numbers 7496/420, 4096/3604 is

GCF of Numerators i.e. for 7496,4096 is 8

LCM of denominators i.e. for 420,3604 is 378420.

Thus, GCF of Fractions is 8/378420.Finally, GCF of Fractions for 7496/420, 4096/3604 is 8/378420.