How to Find GCF of 7690/374, 3433/1034?

GCF of 7690/374, 3433/1034

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 7690/374, 3433/1034 i.e 1/17578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7690/374, 3433/1034.

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 7690/374,3433/1034?

Given fractions are 7690/374,3433/1034

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 7690/374,3433/1034, numerators are 7690,3433

Denominators are 374,1034

The GCF of 7690,3433 is 1 .

LCM of 374,1034 is 17578.

The greatest common factor of 7690/374,3433/1034 = [GCF of 7690,3433]/[LCM of 374,1034]= 1/17578

Therefore, the GCF of 7690/374,3433/1034 is 1/17578.

Greatest Common Factor of 7690,3433

To find the highest common factor of 7690,3433, we have to find the factors of both numbers and list the highest common factor.

The factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690

The factors of 3433 are 1, 3433

The HCF of 7690,3433 is 1.

Lets's calculate GCF of 7690,3433

Greatest Common Factor (GCF) of 7690,3433 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7690,3433 By Matching Biggest Common Factor Method

Now, list down the factors of 7690

1,2,5,10,769,1538,3845,7690

Now, list down the factors of 3433

1,3433

Greatest Common Factor

We found the factors 7690,3433 . The biggest common factor number is the GCF number.
So the greatest common factor 7690,3433 is 1.

Lets's calculate LCM of 374,1034

Lowest Common Multiple of 374,1034 using Common Division

2	374, 1034
11	187, 517
	17, 47

∴ So the LCM of the given numbers is 2 x 11 x 17 x 47 = 17578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17578

Therefore, the GCF of Fractions 7690/374,3433/1034 is 1/17578

Least Common Multiple of 374,1034 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 374,1034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,1034) = 22

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

GCF(374,1034) x common factors =22 x 1 = 22

LCM(374,1034) = ( 374 × 1034 ) / 22

LCM(374,1034) = 386716 / 22

LCM(374,1034) = 17578

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7690/374, 3433/1034

1. What is the HCF of 7690,3433?

The HCF of 7690,3433 is 1

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 7690/374, 3433/1034?

Answer: GCF of Numerators as per given numbers 7690/374, 3433/1034 is

GCF of Numerators i.e. for 7690,3433 is 1

LCM of denominators i.e. for 374,1034 is 17578.

Thus, GCF of Fractions is 1/17578.Finally, GCF of Fractions for 7690/374, 3433/1034 is 1/17578.