How to Find GCF of 672/95, 160/901?

GCF of 672/95, 160/901

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 672/95, 160/901 i.e 32/85595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/95, 160/901.

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 672/95,160/901?

Given fractions are 672/95,160/901

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 672/95,160/901, numerators are 672,160

Denominators are 95,901

The GCF of 672,160 is 32 .

LCM of 95,901 is 85595.

The greatest common factor of 672/95,160/901 = [GCF of 672,160]/[LCM of 95,901]= 32/85595

Therefore, the GCF of 672/95,160/901 is 32/85595.

Greatest Common Factor of 672,160

To find the highest common factor of 672,160, we have to find the factors of both numbers and list the highest common factor.

The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

The HCF of 672,160 is 32.

Lets's calculate GCF of 672,160

Greatest Common Factor (GCF) of 672,160 By Common Division

2	672, 160
2	336, 80
2	168, 40
2	84, 20
2	42, 10
	21, 5

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 672,160 By Matching Biggest Common Factor Method

Now, list down the factors of 672

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Now, list down the factors of 160

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 672,160 . The biggest common factor number is the GCF number.
So the greatest common factor 672,160 is 32.

Lets's calculate LCM of 95,901

Lowest Common Multiple of 95,901 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 85595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/85595

Therefore, the GCF of Fractions 672/95,160/901 is 32/85595

Least Common Multiple of 95,901 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 95,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,901) = 1

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

GCF(95,901) x common factors =1 x 1 = 1

LCM(95,901) = ( 95 × 901 ) / 1

LCM(95,901) = 85595 / 1

LCM(95,901) = 85595

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 672/95, 160/901

1. What is the HCF of 672,160?

The HCF of 672,160 is 32

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 672/95, 160/901?

Answer: GCF of Numerators as per given numbers 672/95, 160/901 is

GCF of Numerators i.e. for 672,160 is 32

LCM of denominators i.e. for 95,901 is 85595.

Thus, GCF of Fractions is 32/85595.Finally, GCF of Fractions for 672/95, 160/901 is 32/85595.