How to Find GCF of 3790/943, 2584/7622?

GCF of 3790/943, 2584/7622

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 3790/943, 2584/7622 i.e 2/7187546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3790/943, 2584/7622.

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 3790/943,2584/7622?

Given fractions are 3790/943,2584/7622

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 3790/943,2584/7622, numerators are 3790,2584

Denominators are 943,7622

The GCF of 3790,2584 is 2 .

LCM of 943,7622 is 7187546.

The greatest common factor of 3790/943,2584/7622 = [GCF of 3790,2584]/[LCM of 943,7622]= 2/7187546

Therefore, the GCF of 3790/943,2584/7622 is 2/7187546.

Greatest Common Factor of 3790,2584

To find the highest common factor of 3790,2584, we have to find the factors of both numbers and list the highest common factor.

The factors of 3790 are 1, 2, 5, 10, 379, 758, 1895, 3790

The factors of 2584 are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584

The HCF of 3790,2584 is 2.

Lets's calculate GCF of 3790,2584

Greatest Common Factor (GCF) of 3790,2584 By Common Division

2	3790, 2584
	1895, 1292

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

Greatest Common Factor of 3790,2584 By Matching Biggest Common Factor Method

Now, list down the factors of 3790

1,2,5,10,379,758,1895,3790

Now, list down the factors of 2584

1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584

Greatest Common Factor

We found the factors 3790,2584 . The biggest common factor number is the GCF number.
So the greatest common factor 3790,2584 is 2.

Lets's calculate LCM of 943,7622

Lowest Common Multiple of 943,7622 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7187546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7187546

Therefore, the GCF of Fractions 3790/943,2584/7622 is 2/7187546

Least Common Multiple of 943,7622 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 943,7622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(943,7622) = 1

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

GCF(943,7622) x common factors =1 x 1 = 1

LCM(943,7622) = ( 943 × 7622 ) / 1

LCM(943,7622) = 7187546 / 1

LCM(943,7622) = 7187546

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3790/943, 2584/7622

1. What is the HCF of 3790,2584?

The HCF of 3790,2584 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 3790/943, 2584/7622?

Answer: GCF of Numerators as per given numbers 3790/943, 2584/7622 is

GCF of Numerators i.e. for 3790,2584 is 2

LCM of denominators i.e. for 943,7622 is 7187546.

Thus, GCF of Fractions is 2/7187546.Finally, GCF of Fractions for 3790/943, 2584/7622 is 2/7187546.