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GCF of 886/938, 9923/317

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 886/938, 9923/317 i.e 1/297346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/938, 9923/317.

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 886/938,9923/317?

Given fractions are 886/938,9923/317

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 886/938,9923/317, numerators are 886,9923

Denominators are 938,317

The GCF of 886,9923 is 1 .

LCM of 938,317 is 297346.

The greatest common factor of 886/938,9923/317 = [GCF of 886,9923]/[LCM of 938,317]= 1/297346

Therefore, the GCF of 886/938,9923/317 is 1/297346.

Greatest Common Factor of 886,9923

To find the highest common factor of 886,9923, we have to find the factors of both numbers and list the highest common factor.

The factors of 886 are 1, 2, 443, 886

The factors of 9923 are 1, 9923

The HCF of 886,9923 is 1.

Lets's calculate GCF of 886,9923

Greatest Common Factor (GCF) of 886,9923 By Common Division

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

Greatest Common Factor of 886,9923 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,9923 By Matching Biggest Common Factor Method

Now, list down the factors of 886

:

1,2,443,886

Now, list down the factors of 9923

:

1,9923

Greatest Common Factor

We found the factors 886,9923 . The biggest common factor number is the GCF number.
So the greatest common factor 886,9923 is 1.


Lets's calculate LCM of 938,317

Lowest Common Multiple of 938,317 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 297346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297346

Therefore, the GCF of Fractions 886/938,9923/317 is 1/297346

Least Common Multiple of 938,317 with GCF Formula

Least Common Multiple of 938,317 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 938,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,317) = 1

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

GCF(938,317) x common factors =1 x 1 = 1

LCM(938,317) = ( 938 × 317 ) / 1

LCM(938,317) = 297346 / 1

LCM(938,317) = 297346


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 886/938, 9923/317

1. What is the HCF of 886,9923?

The HCF of 886,9923 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 886/938, 9923/317?

Answer: GCF of Numerators as per given numbers 886/938, 9923/317 is

GCF of Numerators i.e. for 886,9923 is 1

LCM of denominators i.e. for 938,317 is 297346.

Thus, GCF of Fractions is 1/297346.Finally, GCF of Fractions for 886/938, 9923/317 is 1/297346.