How to Find GCF of 176/219, 752/482?

GCF of 176/219, 752/482

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 176/219, 752/482 i.e 16/105558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/219, 752/482.

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 176/219,752/482?

Given fractions are 176/219,752/482

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 176/219,752/482, numerators are 176,752

Denominators are 219,482

The GCF of 176,752 is 16 .

LCM of 219,482 is 105558.

The greatest common factor of 176/219,752/482 = [GCF of 176,752]/[LCM of 219,482]= 16/105558

Therefore, the GCF of 176/219,752/482 is 16/105558.

Greatest Common Factor of 176,752

To find the highest common factor of 176,752, we have to find the factors of both numbers and list the highest common factor.

The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

The HCF of 176,752 is 16.

Lets's calculate GCF of 176,752

Greatest Common Factor (GCF) of 176,752 By Common Division

2	176, 752
2	88, 376
2	44, 188
2	22, 94
	11, 47

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 176,752 By Matching Biggest Common Factor Method

Now, list down the factors of 176

1,2,4,8,11,16,22,44,88,176

Now, list down the factors of 752

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 176,752 . The biggest common factor number is the GCF number.
So the greatest common factor 176,752 is 16.

Lets's calculate LCM of 219,482

Lowest Common Multiple of 219,482 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 105558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/105558

Therefore, the GCF of Fractions 176/219,752/482 is 16/105558

Least Common Multiple of 219,482 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 219,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,482) = 1

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

GCF(219,482) x common factors =1 x 1 = 1

LCM(219,482) = ( 219 × 482 ) / 1

LCM(219,482) = 105558 / 1

LCM(219,482) = 105558

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 176/219, 752/482

1. What is the HCF of 176,752?

The HCF of 176,752 is 16

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 176/219, 752/482?

Answer: GCF of Numerators as per given numbers 176/219, 752/482 is

GCF of Numerators i.e. for 176,752 is 16

LCM of denominators i.e. for 219,482 is 105558.

Thus, GCF of Fractions is 16/105558.Finally, GCF of Fractions for 176/219, 752/482 is 16/105558.