How to Find GCF of 3542/966, 1604/5056?

GCF of 3542/966, 1604/5056

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 3542/966, 1604/5056 i.e 2/2442048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3542/966, 1604/5056.

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 3542/966,1604/5056?

Given fractions are 3542/966,1604/5056

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 3542/966,1604/5056, numerators are 3542,1604

Denominators are 966,5056

The GCF of 3542,1604 is 2 .

LCM of 966,5056 is 2442048.

The greatest common factor of 3542/966,1604/5056 = [GCF of 3542,1604]/[LCM of 966,5056]= 2/2442048

Therefore, the GCF of 3542/966,1604/5056 is 2/2442048.

Greatest Common Factor of 3542,1604

To find the highest common factor of 3542,1604, we have to find the factors of both numbers and list the highest common factor.

The factors of 3542 are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542

The factors of 1604 are 1, 2, 4, 401, 802, 1604

The HCF of 3542,1604 is 2.

Lets's calculate GCF of 3542,1604

Greatest Common Factor (GCF) of 3542,1604 By Common Division

2	3542, 1604
	1771, 802

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

Greatest Common Factor of 3542,1604 By Matching Biggest Common Factor Method

Now, list down the factors of 3542

1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542

Now, list down the factors of 1604

1,2,4,401,802,1604

Greatest Common Factor

We found the factors 3542,1604 . The biggest common factor number is the GCF number.
So the greatest common factor 3542,1604 is 2.

Lets's calculate LCM of 966,5056

Lowest Common Multiple of 966,5056 using Common Division

2	966, 5056
	483, 2528

∴ So the LCM of the given numbers is 2 x 483 x 2528 = 2442048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2442048

Therefore, the GCF of Fractions 3542/966,1604/5056 is 2/2442048

Least Common Multiple of 966,5056 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 966,5056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,5056) = 2

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

GCF(966,5056) x common factors =2 x 1 = 2

LCM(966,5056) = ( 966 × 5056 ) / 2

LCM(966,5056) = 4884096 / 2

LCM(966,5056) = 2442048

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3542/966, 1604/5056

1. What is the HCF of 3542,1604?

The HCF of 3542,1604 is 2

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 3542/966, 1604/5056?

Answer: GCF of Numerators as per given numbers 3542/966, 1604/5056 is

GCF of Numerators i.e. for 3542,1604 is 2

LCM of denominators i.e. for 966,5056 is 2442048.

Thus, GCF of Fractions is 2/2442048.Finally, GCF of Fractions for 3542/966, 1604/5056 is 2/2442048.