How to Find GCF of 6692/319, 2140/3693?

GCF of 6692/319, 2140/3693

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 6692/319, 2140/3693 i.e 4/1178067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6692/319, 2140/3693.

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 6692/319,2140/3693?

Given fractions are 6692/319,2140/3693

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 6692/319,2140/3693, numerators are 6692,2140

Denominators are 319,3693

The GCF of 6692,2140 is 4 .

LCM of 319,3693 is 1178067.

The greatest common factor of 6692/319,2140/3693 = [GCF of 6692,2140]/[LCM of 319,3693]= 4/1178067

Therefore, the GCF of 6692/319,2140/3693 is 4/1178067.

Greatest Common Factor of 6692,2140

To find the highest common factor of 6692,2140, we have to find the factors of both numbers and list the highest common factor.

The factors of 6692 are 1, 2, 4, 7, 14, 28, 239, 478, 956, 1673, 3346, 6692

The factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140

The HCF of 6692,2140 is 4.

Lets's calculate GCF of 6692,2140

Greatest Common Factor (GCF) of 6692,2140 By Common Division

2	6692, 2140
2	3346, 1070
	1673, 535

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

Greatest Common Factor of 6692,2140 By Matching Biggest Common Factor Method

Now, list down the factors of 6692

1,2,4,7,14,28,239,478,956,1673,3346,6692

Now, list down the factors of 2140

1,2,4,5,10,20,107,214,428,535,1070,2140

Greatest Common Factor

We found the factors 6692,2140 . The biggest common factor number is the GCF number.
So the greatest common factor 6692,2140 is 4.

Lets's calculate LCM of 319,3693

Lowest Common Multiple of 319,3693 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1178067

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1178067

Therefore, the GCF of Fractions 6692/319,2140/3693 is 4/1178067

Least Common Multiple of 319,3693 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 319,3693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,3693) = 1

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

GCF(319,3693) x common factors =1 x 1 = 1

LCM(319,3693) = ( 319 × 3693 ) / 1

LCM(319,3693) = 1178067 / 1

LCM(319,3693) = 1178067

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6692/319, 2140/3693

1. What is the HCF of 6692,2140?

The HCF of 6692,2140 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 6692/319, 2140/3693?

Answer: GCF of Numerators as per given numbers 6692/319, 2140/3693 is

GCF of Numerators i.e. for 6692,2140 is 4

LCM of denominators i.e. for 319,3693 is 1178067.

Thus, GCF of Fractions is 4/1178067.Finally, GCF of Fractions for 6692/319, 2140/3693 is 4/1178067.