How to Find GCF of 938/49, 723/6367?

GCF of 938/49, 723/6367

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 938/49, 723/6367 i.e 1/311983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 938/49, 723/6367.

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 938/49,723/6367?

Given fractions are 938/49,723/6367

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 938/49,723/6367, numerators are 938,723

Denominators are 49,6367

The GCF of 938,723 is 1 .

LCM of 49,6367 is 311983.

The greatest common factor of 938/49,723/6367 = [GCF of 938,723]/[LCM of 49,6367]= 1/311983

Therefore, the GCF of 938/49,723/6367 is 1/311983.

Greatest Common Factor of 938,723

To find the highest common factor of 938,723, we have to find the factors of both numbers and list the highest common factor.

The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938

The factors of 723 are 1, 3, 241, 723

The HCF of 938,723 is 1.

Lets's calculate GCF of 938,723

Greatest Common Factor (GCF) of 938,723 By Common Division

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

Greatest Common Factor of 938,723 By Matching Biggest Common Factor Method

Now, list down the factors of 938

1,2,7,14,67,134,469,938

Now, list down the factors of 723

1,3,241,723

Greatest Common Factor

We found the factors 938,723 . The biggest common factor number is the GCF number.
So the greatest common factor 938,723 is 1.

Lets's calculate LCM of 49,6367

Lowest Common Multiple of 49,6367 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 311983

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311983

Therefore, the GCF of Fractions 938/49,723/6367 is 1/311983

Least Common Multiple of 49,6367 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 49,6367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,6367) = 1

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

GCF(49,6367) x common factors =1 x 1 = 1

LCM(49,6367) = ( 49 × 6367 ) / 1

LCM(49,6367) = 311983 / 1

LCM(49,6367) = 311983

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 938/49, 723/6367

1. What is the HCF of 938,723?

The HCF of 938,723 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 938/49, 723/6367?

Answer: GCF of Numerators as per given numbers 938/49, 723/6367 is

GCF of Numerators i.e. for 938,723 is 1

LCM of denominators i.e. for 49,6367 is 311983.

Thus, GCF of Fractions is 1/311983.Finally, GCF of Fractions for 938/49, 723/6367 is 1/311983.