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GCF of 7183/646, 8191/127

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 7183/646, 8191/127 i.e 1/82042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7183/646, 8191/127.

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 7183/646,8191/127?

Given fractions are 7183/646,8191/127

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 7183/646,8191/127, numerators are 7183,8191

Denominators are 646,127

The GCF of 7183,8191 is 1 .

LCM of 646,127 is 82042.

The greatest common factor of 7183/646,8191/127 = [GCF of 7183,8191]/[LCM of 646,127]= 1/82042

Therefore, the GCF of 7183/646,8191/127 is 1/82042.

Greatest Common Factor of 7183,8191

To find the highest common factor of 7183,8191, we have to find the factors of both numbers and list the highest common factor.

The factors of 7183 are 1, 11, 653, 7183

The factors of 8191 are 1, 8191

The HCF of 7183,8191 is 1.

Lets's calculate GCF of 7183,8191

Greatest Common Factor (GCF) of 7183,8191 By Common Division

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

Greatest Common Factor of 7183,8191 By Matching Biggest Common Factor Method

Greatest Common Factor of 7183,8191 By Matching Biggest Common Factor Method

Now, list down the factors of 7183

:

1,11,653,7183

Now, list down the factors of 8191

:

1,8191

Greatest Common Factor

We found the factors 7183,8191 . The biggest common factor number is the GCF number.
So the greatest common factor 7183,8191 is 1.

Lets's calculate LCM of 646,127

Lowest Common Multiple of 646,127 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 82042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82042

Therefore, the GCF of Fractions 7183/646,8191/127 is 1/82042

Least Common Multiple of 646,127 with GCF Formula

Least Common Multiple of 646,127 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 646,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,127) = 1

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

GCF(646,127) x common factors =1 x 1 = 1

LCM(646,127) = ( 646 × 127 ) / 1

LCM(646,127) = 82042 / 1

LCM(646,127) = 82042


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FAQs on GCF of Fractions of 7183/646, 8191/127

1. What is the HCF of 7183,8191?

The HCF of 7183,8191 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 7183/646, 8191/127?

Answer: GCF of Numerators as per given numbers 7183/646, 8191/127 is

GCF of Numerators i.e. for 7183,8191 is 1

LCM of denominators i.e. for 646,127 is 82042.

Thus, GCF of Fractions is 1/82042.Finally, GCF of Fractions for 7183/646, 8191/127 is 1/82042.