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GCF of 349/167, 8587/8227

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 349/167, 8587/8227 i.e 1/1373909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 349/167, 8587/8227.

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 349/167,8587/8227?

Given fractions are 349/167,8587/8227

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 349/167,8587/8227, numerators are 349,8587

Denominators are 167,8227

The GCF of 349,8587 is 1 .

LCM of 167,8227 is 1373909.

The greatest common factor of 349/167,8587/8227 = [GCF of 349,8587]/[LCM of 167,8227]= 1/1373909

Therefore, the GCF of 349/167,8587/8227 is 1/1373909.

Greatest Common Factor of 349,8587

To find the highest common factor of 349,8587, we have to find the factors of both numbers and list the highest common factor.

The factors of 349 are 1, 349

The factors of 8587 are 1, 31, 277, 8587

The HCF of 349,8587 is 1.

Lets's calculate GCF of 349,8587

Greatest Common Factor (GCF) of 349,8587 By Common Division

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

Greatest Common Factor of 349,8587 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,8587 By Matching Biggest Common Factor Method

Now, list down the factors of 349

:

1,349

Now, list down the factors of 8587

:

1,31,277,8587

Greatest Common Factor

We found the factors 349,8587 . The biggest common factor number is the GCF number.
So the greatest common factor 349,8587 is 1.


Lets's calculate LCM of 167,8227

Lowest Common Multiple of 167,8227 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1373909

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1373909

Therefore, the GCF of Fractions 349/167,8587/8227 is 1/1373909

Least Common Multiple of 167,8227 with GCF Formula

Least Common Multiple of 167,8227 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 167,8227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,8227) = 1

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

GCF(167,8227) x common factors =1 x 1 = 1

LCM(167,8227) = ( 167 × 8227 ) / 1

LCM(167,8227) = 1373909 / 1

LCM(167,8227) = 1373909


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 349/167, 8587/8227

1. What is the HCF of 349,8587?

The HCF of 349,8587 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 349/167, 8587/8227?

Answer: GCF of Numerators as per given numbers 349/167, 8587/8227 is

GCF of Numerators i.e. for 349,8587 is 1

LCM of denominators i.e. for 167,8227 is 1373909.

Thus, GCF of Fractions is 1/1373909.Finally, GCF of Fractions for 349/167, 8587/8227 is 1/1373909.