How to Find GCF of 3703/69, 5336/682?

GCF of 3703/69, 5336/682

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 3703/69, 5336/682 i.e 23/47058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3703/69, 5336/682.

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 3703/69,5336/682?

Given fractions are 3703/69,5336/682

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 3703/69,5336/682, numerators are 3703,5336

Denominators are 69,682

The GCF of 3703,5336 is 23 .

LCM of 69,682 is 47058.

The greatest common factor of 3703/69,5336/682 = [GCF of 3703,5336]/[LCM of 69,682]= 23/47058

Therefore, the GCF of 3703/69,5336/682 is 23/47058.

Greatest Common Factor of 3703,5336

To find the highest common factor of 3703,5336, we have to find the factors of both numbers and list the highest common factor.

The factors of 3703 are 1, 7, 23, 161, 529, 3703

The factors of 5336 are 1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336

The HCF of 3703,5336 is 23.

Lets's calculate GCF of 3703,5336

Greatest Common Factor (GCF) of 3703,5336 By Common Division

23	3703, 5336
	161, 232

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 3703,5336 By Matching Biggest Common Factor Method

Now, list down the factors of 3703

1,7,23,161,529,3703

Now, list down the factors of 5336

1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336

Greatest Common Factor

We found the factors 3703,5336 . The biggest common factor number is the GCF number.
So the greatest common factor 3703,5336 is 23.

Lets's calculate LCM of 69,682

Lowest Common Multiple of 69,682 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 47058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/47058

Therefore, the GCF of Fractions 3703/69,5336/682 is 23/47058

Least Common Multiple of 69,682 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 69,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,682) = 1

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

GCF(69,682) x common factors =1 x 1 = 1

LCM(69,682) = ( 69 × 682 ) / 1

LCM(69,682) = 47058 / 1

LCM(69,682) = 47058

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FAQs on GCF of Fractions of 3703/69, 5336/682

1. What is the HCF of 3703,5336?

The HCF of 3703,5336 is 23

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 3703/69, 5336/682?

Answer: GCF of Numerators as per given numbers 3703/69, 5336/682 is

GCF of Numerators i.e. for 3703,5336 is 23

LCM of denominators i.e. for 69,682 is 47058.

Thus, GCF of Fractions is 23/47058.Finally, GCF of Fractions for 3703/69, 5336/682 is 23/47058.