LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 314/321, 7523/8281

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 314/321, 7523/8281 i.e 1/2658201 easily. The following is the detailed procedure to determine the greatest common factor of fractions 314/321, 7523/8281.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 314/321,7523/8281?

Given fractions are 314/321,7523/8281

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 314/321,7523/8281, numerators are 314,7523

Denominators are 321,8281

The GCF of 314,7523 is 1 .

LCM of 321,8281 is 2658201.

The greatest common factor of 314/321,7523/8281 = [GCF of 314,7523]/[LCM of 321,8281]= 1/2658201

Therefore, the GCF of 314/321,7523/8281 is 1/2658201.

Greatest Common Factor of 314,7523

To find the highest common factor of 314,7523, we have to find the factors of both numbers and list the highest common factor.

The factors of 314 are 1, 2, 157, 314

The factors of 7523 are 1, 7523

The HCF of 314,7523 is 1.

Lets's calculate GCF of 314,7523

Greatest Common Factor (GCF) of 314,7523 By Common Division

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

Greatest Common Factor of 314,7523 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,7523 By Matching Biggest Common Factor Method

Now, list down the factors of 314

:

1,2,157,314

Now, list down the factors of 7523

:

1,7523

Greatest Common Factor

We found the factors 314,7523 . The biggest common factor number is the GCF number.
So the greatest common factor 314,7523 is 1.

Lets's calculate LCM of 321,8281

Lowest Common Multiple of 321,8281 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2658201

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2658201

Therefore, the GCF of Fractions 314/321,7523/8281 is 1/2658201

Least Common Multiple of 321,8281 with GCF Formula

Least Common Multiple of 321,8281 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 321,8281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,8281) = 1

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

GCF(321,8281) x common factors =1 x 1 = 1

LCM(321,8281) = ( 321 × 8281 ) / 1

LCM(321,8281) = 2658201 / 1

LCM(321,8281) = 2658201


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 314/321, 7523/8281

1. What is the HCF of 314,7523?

The HCF of 314,7523 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 314/321, 7523/8281?

Answer: GCF of Numerators as per given numbers 314/321, 7523/8281 is

GCF of Numerators i.e. for 314,7523 is 1

LCM of denominators i.e. for 321,8281 is 2658201.

Thus, GCF of Fractions is 1/2658201.Finally, GCF of Fractions for 314/321, 7523/8281 is 1/2658201.