How to Find GCF of 1796/604, 3432/102?

GCF of 1796/604, 3432/102

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 1796/604, 3432/102 i.e 4/30804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1796/604, 3432/102.

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 1796/604,3432/102?

Given fractions are 1796/604,3432/102

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 1796/604,3432/102, numerators are 1796,3432

Denominators are 604,102

The GCF of 1796,3432 is 4 .

LCM of 604,102 is 30804.

The greatest common factor of 1796/604,3432/102 = [GCF of 1796,3432]/[LCM of 604,102]= 4/30804

Therefore, the GCF of 1796/604,3432/102 is 4/30804.

Greatest Common Factor of 1796,3432

To find the highest common factor of 1796,3432, we have to find the factors of both numbers and list the highest common factor.

The factors of 1796 are 1, 2, 4, 449, 898, 1796

The factors of 3432 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432

The HCF of 1796,3432 is 4.

Lets's calculate GCF of 1796,3432

Greatest Common Factor (GCF) of 1796,3432 By Common Division

2	1796, 3432
2	898, 1716
	449, 858

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

Greatest Common Factor of 1796,3432 By Matching Biggest Common Factor Method

Now, list down the factors of 1796

1,2,4,449,898,1796

Now, list down the factors of 3432

1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432

Greatest Common Factor

We found the factors 1796,3432 . The biggest common factor number is the GCF number.
So the greatest common factor 1796,3432 is 4.

Lets's calculate LCM of 604,102

Lowest Common Multiple of 604,102 using Common Division

2	604, 102
	302, 51

∴ So the LCM of the given numbers is 2 x 302 x 51 = 30804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/30804

Therefore, the GCF of Fractions 1796/604,3432/102 is 4/30804

Least Common Multiple of 604,102 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 604,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,102) = 2

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

GCF(604,102) x common factors =2 x 1 = 2

LCM(604,102) = ( 604 × 102 ) / 2

LCM(604,102) = 61608 / 2

LCM(604,102) = 30804

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FAQs on GCF of Fractions of 1796/604, 3432/102

1. What is the HCF of 1796,3432?

The HCF of 1796,3432 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 1796/604, 3432/102?

Answer: GCF of Numerators as per given numbers 1796/604, 3432/102 is

GCF of Numerators i.e. for 1796,3432 is 4

LCM of denominators i.e. for 604,102 is 30804.

Thus, GCF of Fractions is 4/30804.Finally, GCF of Fractions for 1796/604, 3432/102 is 4/30804.