How to Find GCF of 353/923, 8437/858?

GCF of 353/923, 8437/858

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 353/923, 8437/858 i.e 1/60918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/923, 8437/858.

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 353/923,8437/858?

Given fractions are 353/923,8437/858

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 353/923,8437/858, numerators are 353,8437

Denominators are 923,858

The GCF of 353,8437 is 1 .

LCM of 923,858 is 60918.

The greatest common factor of 353/923,8437/858 = [GCF of 353,8437]/[LCM of 923,858]= 1/60918

Therefore, the GCF of 353/923,8437/858 is 1/60918.

Greatest Common Factor of 353,8437

To find the highest common factor of 353,8437, we have to find the factors of both numbers and list the highest common factor.

The factors of 353 are 1, 353

The factors of 8437 are 1, 11, 13, 59, 143, 649, 767, 8437

The HCF of 353,8437 is 1.

Lets's calculate GCF of 353,8437

Greatest Common Factor (GCF) of 353,8437 By Common Division

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

Greatest Common Factor of 353,8437 By Matching Biggest Common Factor Method

Now, list down the factors of 353

1,353

Now, list down the factors of 8437

1,11,13,59,143,649,767,8437

Greatest Common Factor

We found the factors 353,8437 . The biggest common factor number is the GCF number.
So the greatest common factor 353,8437 is 1.

Lets's calculate LCM of 923,858

Lowest Common Multiple of 923,858 using Common Division

13	923, 858
	71, 66

∴ So the LCM of the given numbers is 13 x 71 x 66 = 60918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60918

Therefore, the GCF of Fractions 353/923,8437/858 is 1/60918

Least Common Multiple of 923,858 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 923,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,858) = 13

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

GCF(923,858) x common factors =13 x 1 = 13

LCM(923,858) = ( 923 × 858 ) / 13

LCM(923,858) = 791934 / 13

LCM(923,858) = 60918

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FAQs on GCF of Fractions of 353/923, 8437/858

1. What is the HCF of 353,8437?

The HCF of 353,8437 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 353/923, 8437/858?

Answer: GCF of Numerators as per given numbers 353/923, 8437/858 is

GCF of Numerators i.e. for 353,8437 is 1

LCM of denominators i.e. for 923,858 is 60918.

Thus, GCF of Fractions is 1/60918.Finally, GCF of Fractions for 353/923, 8437/858 is 1/60918.