How to Find GCF of 656/44, 672/5979?

GCF of 656/44, 672/5979

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 656/44, 672/5979 i.e 16/263076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 656/44, 672/5979.

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 656/44,672/5979?

Given fractions are 656/44,672/5979

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 656/44,672/5979, numerators are 656,672

Denominators are 44,5979

The GCF of 656,672 is 16 .

LCM of 44,5979 is 263076.

The greatest common factor of 656/44,672/5979 = [GCF of 656,672]/[LCM of 44,5979]= 16/263076

Therefore, the GCF of 656/44,672/5979 is 16/263076.

Greatest Common Factor of 656,672

To find the highest common factor of 656,672, we have to find the factors of both numbers and list the highest common factor.

The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 HCF of 656,672 is 16.

Lets's calculate GCF of 656,672

Greatest Common Factor (GCF) of 656,672 By Common Division

2	656, 672
2	328, 336
2	164, 168
2	82, 84
	41, 42

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

Greatest Common Factor of 656,672 By Matching Biggest Common Factor Method

Now, list down the factors of 656

1,2,4,8,16,41,82,164,328,656

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

Greatest Common Factor

We found the factors 656,672 . The biggest common factor number is the GCF number.
So the greatest common factor 656,672 is 16.

Lets's calculate LCM of 44,5979

Lowest Common Multiple of 44,5979 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 263076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/263076

Therefore, the GCF of Fractions 656/44,672/5979 is 16/263076

Least Common Multiple of 44,5979 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 44,5979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,5979) = 1

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

GCF(44,5979) x common factors =1 x 1 = 1

LCM(44,5979) = ( 44 × 5979 ) / 1

LCM(44,5979) = 263076 / 1

LCM(44,5979) = 263076

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 656/44, 672/5979

1. What is the HCF of 656,672?

The HCF of 656,672 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 656/44, 672/5979?

Answer: GCF of Numerators as per given numbers 656/44, 672/5979 is

GCF of Numerators i.e. for 656,672 is 16

LCM of denominators i.e. for 44,5979 is 263076.

Thus, GCF of Fractions is 16/263076.Finally, GCF of Fractions for 656/44, 672/5979 is 16/263076.