How to Find GCF of 7424/839, 3059/1931?

GCF of 7424/839, 3059/1931

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 7424/839, 3059/1931 i.e 1/1620109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7424/839, 3059/1931.

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 7424/839,3059/1931?

Given fractions are 7424/839,3059/1931

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 7424/839,3059/1931, numerators are 7424,3059

Denominators are 839,1931

The GCF of 7424,3059 is 1 .

LCM of 839,1931 is 1620109.

The greatest common factor of 7424/839,3059/1931 = [GCF of 7424,3059]/[LCM of 839,1931]= 1/1620109

Therefore, the GCF of 7424/839,3059/1931 is 1/1620109.

Greatest Common Factor of 7424,3059

To find the highest common factor of 7424,3059, we have to find the factors of both numbers and list the highest common factor.

The factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424

The factors of 3059 are 1, 7, 19, 23, 133, 161, 437, 3059

The HCF of 7424,3059 is 1.

Lets's calculate GCF of 7424,3059

Greatest Common Factor (GCF) of 7424,3059 By Common Division

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

Greatest Common Factor of 7424,3059 By Matching Biggest Common Factor Method

Now, list down the factors of 7424

1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424

Now, list down the factors of 3059

1,7,19,23,133,161,437,3059

Greatest Common Factor

We found the factors 7424,3059 . The biggest common factor number is the GCF number.
So the greatest common factor 7424,3059 is 1.

Lets's calculate LCM of 839,1931

Lowest Common Multiple of 839,1931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1620109

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1620109

Therefore, the GCF of Fractions 7424/839,3059/1931 is 1/1620109

Least Common Multiple of 839,1931 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 839,1931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,1931) = 1

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

GCF(839,1931) x common factors =1 x 1 = 1

LCM(839,1931) = ( 839 × 1931 ) / 1

LCM(839,1931) = 1620109 / 1

LCM(839,1931) = 1620109

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7424/839, 3059/1931

1. What is the HCF of 7424,3059?

The HCF of 7424,3059 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 7424/839, 3059/1931?

Answer: GCF of Numerators as per given numbers 7424/839, 3059/1931 is

GCF of Numerators i.e. for 7424,3059 is 1

LCM of denominators i.e. for 839,1931 is 1620109.

Thus, GCF of Fractions is 1/1620109.Finally, GCF of Fractions for 7424/839, 3059/1931 is 1/1620109.