How to Find GCF of 696/604, 3596/796?

GCF of 696/604, 3596/796

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 696/604, 3596/796 i.e 116/120196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 696/604, 3596/796.

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 696/604,3596/796?

Given fractions are 696/604,3596/796

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 696/604,3596/796, numerators are 696,3596

Denominators are 604,796

The GCF of 696,3596 is 116 .

LCM of 604,796 is 120196.

The greatest common factor of 696/604,3596/796 = [GCF of 696,3596]/[LCM of 604,796]= 116/120196

Therefore, the GCF of 696/604,3596/796 is 116/120196.

Greatest Common Factor of 696,3596

To find the highest common factor of 696,3596, we have to find the factors of both numbers and list the highest common factor.

The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

The factors of 3596 are 1, 2, 4, 29, 31, 58, 62, 116, 124, 899, 1798, 3596

The HCF of 696,3596 is 116.

Lets's calculate GCF of 696,3596

Greatest Common Factor (GCF) of 696,3596 By Common Division

2	696, 3596
2	348, 1798
29	174, 899
	6, 31

∴ So the GCF of the given numbers is 2 x 2 x 29 = 116

Greatest Common Factor of 696,3596 By Matching Biggest Common Factor Method

Now, list down the factors of 696

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Now, list down the factors of 3596

1,2,4,29,31,58,62,116,124,899,1798,3596

Greatest Common Factor

We found the factors 696,3596 . The biggest common factor number is the GCF number.
So the greatest common factor 696,3596 is 116.

Lets's calculate LCM of 604,796

Lowest Common Multiple of 604,796 using Common Division

2	604, 796
2	302, 398
	151, 199

∴ So the LCM of the given numbers is 2 x 2 x 151 x 199 = 120196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/120196

Therefore, the GCF of Fractions 696/604,3596/796 is 116/120196

Least Common Multiple of 604,796 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 604,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,796) = 4

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

GCF(604,796) x common factors =4 x 1 = 4

LCM(604,796) = ( 604 × 796 ) / 4

LCM(604,796) = 480784 / 4

LCM(604,796) = 120196

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FAQs on GCF of Fractions of 696/604, 3596/796

1. What is the HCF of 696,3596?

The HCF of 696,3596 is 116

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 696/604, 3596/796?

Answer: GCF of Numerators as per given numbers 696/604, 3596/796 is

GCF of Numerators i.e. for 696,3596 is 116

LCM of denominators i.e. for 604,796 is 120196.

Thus, GCF of Fractions is 116/120196.Finally, GCF of Fractions for 696/604, 3596/796 is 116/120196.