How to Find GCF of 294/382, 8357/802?

GCF of 294/382, 8357/802

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 294/382, 8357/802 i.e 1/153182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/382, 8357/802.

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 294/382,8357/802?

Given fractions are 294/382,8357/802

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 294/382,8357/802, numerators are 294,8357

Denominators are 382,802

The GCF of 294,8357 is 1 .

LCM of 382,802 is 153182.

The greatest common factor of 294/382,8357/802 = [GCF of 294,8357]/[LCM of 382,802]= 1/153182

Therefore, the GCF of 294/382,8357/802 is 1/153182.

Greatest Common Factor of 294,8357

To find the highest common factor of 294,8357, we have to find the factors of both numbers and list the highest common factor.

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

The factors of 8357 are 1, 61, 137, 8357

The HCF of 294,8357 is 1.

Lets's calculate GCF of 294,8357

Greatest Common Factor (GCF) of 294,8357 By Common Division

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

Greatest Common Factor of 294,8357 By Matching Biggest Common Factor Method

Now, list down the factors of 294

1,2,3,6,7,14,21,42,49,98,147,294

Now, list down the factors of 8357

1,61,137,8357

Greatest Common Factor

We found the factors 294,8357 . The biggest common factor number is the GCF number.
So the greatest common factor 294,8357 is 1.

Lets's calculate LCM of 382,802

Lowest Common Multiple of 382,802 using Common Division

2	382, 802
	191, 401

∴ So the LCM of the given numbers is 2 x 191 x 401 = 153182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153182

Therefore, the GCF of Fractions 294/382,8357/802 is 1/153182

Least Common Multiple of 382,802 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 382,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,802) = 2

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

GCF(382,802) x common factors =2 x 1 = 2

LCM(382,802) = ( 382 × 802 ) / 2

LCM(382,802) = 306364 / 2

LCM(382,802) = 153182

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 294/382, 8357/802

1. What is the HCF of 294,8357?

The HCF of 294,8357 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 294/382, 8357/802?

Answer: GCF of Numerators as per given numbers 294/382, 8357/802 is

GCF of Numerators i.e. for 294,8357 is 1

LCM of denominators i.e. for 382,802 is 153182.

Thus, GCF of Fractions is 1/153182.Finally, GCF of Fractions for 294/382, 8357/802 is 1/153182.