How to Find GCF of 2217/176, 6173/7288?

GCF of 2217/176, 6173/7288

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 2217/176, 6173/7288 i.e 1/160336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2217/176, 6173/7288.

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 2217/176,6173/7288?

Given fractions are 2217/176,6173/7288

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 2217/176,6173/7288, numerators are 2217,6173

Denominators are 176,7288

The GCF of 2217,6173 is 1 .

LCM of 176,7288 is 160336.

The greatest common factor of 2217/176,6173/7288 = [GCF of 2217,6173]/[LCM of 176,7288]= 1/160336

Therefore, the GCF of 2217/176,6173/7288 is 1/160336.

Greatest Common Factor of 2217,6173

To find the highest common factor of 2217,6173, we have to find the factors of both numbers and list the highest common factor.

The factors of 2217 are 1, 3, 739, 2217

The factors of 6173 are 1, 6173

The HCF of 2217,6173 is 1.

Lets's calculate GCF of 2217,6173

Greatest Common Factor (GCF) of 2217,6173 By Common Division

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

Greatest Common Factor of 2217,6173 By Matching Biggest Common Factor Method

Now, list down the factors of 2217

1,3,739,2217

Now, list down the factors of 6173

1,6173

Greatest Common Factor

We found the factors 2217,6173 . The biggest common factor number is the GCF number.
So the greatest common factor 2217,6173 is 1.

Lets's calculate LCM of 176,7288

Lowest Common Multiple of 176,7288 using Common Division

2	176, 7288
2	88, 3644
2	44, 1822
	22, 911

∴ So the LCM of the given numbers is 2 x 2 x 2 x 22 x 911 = 160336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160336

Therefore, the GCF of Fractions 2217/176,6173/7288 is 1/160336

Least Common Multiple of 176,7288 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 176,7288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,7288) = 8

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

GCF(176,7288) x common factors =8 x 1 = 8

LCM(176,7288) = ( 176 × 7288 ) / 8

LCM(176,7288) = 1282688 / 8

LCM(176,7288) = 160336

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FAQs on GCF of Fractions of 2217/176, 6173/7288

1. What is the HCF of 2217,6173?

The HCF of 2217,6173 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 2217/176, 6173/7288?

Answer: GCF of Numerators as per given numbers 2217/176, 6173/7288 is

GCF of Numerators i.e. for 2217,6173 is 1

LCM of denominators i.e. for 176,7288 is 160336.

Thus, GCF of Fractions is 1/160336.Finally, GCF of Fractions for 2217/176, 6173/7288 is 1/160336.