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GCF of 385/855, 1179/6383

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 385/855, 1179/6383 i.e 1/5457465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/855, 1179/6383.

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 385/855,1179/6383?

Given fractions are 385/855,1179/6383

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 385/855,1179/6383, numerators are 385,1179

Denominators are 855,6383

The GCF of 385,1179 is 1 .

LCM of 855,6383 is 5457465.

The greatest common factor of 385/855,1179/6383 = [GCF of 385,1179]/[LCM of 855,6383]= 1/5457465

Therefore, the GCF of 385/855,1179/6383 is 1/5457465.

Greatest Common Factor of 385,1179

To find the highest common factor of 385,1179, we have to find the factors of both numbers and list the highest common factor.

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385

The factors of 1179 are 1, 3, 9, 131, 393, 1179

The HCF of 385,1179 is 1.

Lets's calculate GCF of 385,1179

Greatest Common Factor (GCF) of 385,1179 By Common Division

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

Greatest Common Factor of 385,1179 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,1179 By Matching Biggest Common Factor Method

Now, list down the factors of 385

:

1,5,7,11,35,55,77,385

Now, list down the factors of 1179

:

1,3,9,131,393,1179

Greatest Common Factor

We found the factors 385,1179 . The biggest common factor number is the GCF number.
So the greatest common factor 385,1179 is 1.


Lets's calculate LCM of 855,6383

Lowest Common Multiple of 855,6383 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5457465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5457465

Therefore, the GCF of Fractions 385/855,1179/6383 is 1/5457465

Least Common Multiple of 855,6383 with GCF Formula

Least Common Multiple of 855,6383 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 855,6383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,6383) = 1

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

GCF(855,6383) x common factors =1 x 1 = 1

LCM(855,6383) = ( 855 × 6383 ) / 1

LCM(855,6383) = 5457465 / 1

LCM(855,6383) = 5457465


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 385/855, 1179/6383

1. What is the HCF of 385,1179?

The HCF of 385,1179 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 385/855, 1179/6383?

Answer: GCF of Numerators as per given numbers 385/855, 1179/6383 is

GCF of Numerators i.e. for 385,1179 is 1

LCM of denominators i.e. for 855,6383 is 5457465.

Thus, GCF of Fractions is 1/5457465.Finally, GCF of Fractions for 385/855, 1179/6383 is 1/5457465.