How to Find GCF of 8272/176, 3521/3292?

GCF of 8272/176, 3521/3292

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 8272/176, 3521/3292 i.e 1/144848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8272/176, 3521/3292.

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 8272/176,3521/3292?

Given fractions are 8272/176,3521/3292

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 8272/176,3521/3292, numerators are 8272,3521

Denominators are 176,3292

The GCF of 8272,3521 is 1 .

LCM of 176,3292 is 144848.

The greatest common factor of 8272/176,3521/3292 = [GCF of 8272,3521]/[LCM of 176,3292]= 1/144848

Therefore, the GCF of 8272/176,3521/3292 is 1/144848.

Greatest Common Factor of 8272,3521

To find the highest common factor of 8272,3521, we have to find the factors of both numbers and list the highest common factor.

The factors of 8272 are 1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272

The factors of 3521 are 1, 7, 503, 3521

The HCF of 8272,3521 is 1.

Lets's calculate GCF of 8272,3521

Greatest Common Factor (GCF) of 8272,3521 By Common Division

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

Greatest Common Factor of 8272,3521 By Matching Biggest Common Factor Method

Now, list down the factors of 8272

1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272

Now, list down the factors of 3521

1,7,503,3521

Greatest Common Factor

We found the factors 8272,3521 . The biggest common factor number is the GCF number.
So the greatest common factor 8272,3521 is 1.

Lets's calculate LCM of 176,3292

Lowest Common Multiple of 176,3292 using Common Division

2	176, 3292
2	88, 1646
	44, 823

∴ So the LCM of the given numbers is 2 x 2 x 44 x 823 = 144848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144848

Therefore, the GCF of Fractions 8272/176,3521/3292 is 1/144848

Least Common Multiple of 176,3292 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 176,3292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,3292) = 4

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

GCF(176,3292) x common factors =4 x 1 = 4

LCM(176,3292) = ( 176 × 3292 ) / 4

LCM(176,3292) = 579392 / 4

LCM(176,3292) = 144848

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8272/176, 3521/3292

1. What is the HCF of 8272,3521?

The HCF of 8272,3521 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 8272/176, 3521/3292?

Answer: GCF of Numerators as per given numbers 8272/176, 3521/3292 is

GCF of Numerators i.e. for 8272,3521 is 1

LCM of denominators i.e. for 176,3292 is 144848.

Thus, GCF of Fractions is 1/144848.Finally, GCF of Fractions for 8272/176, 3521/3292 is 1/144848.