How to Find GCF of 476/520, 672/778?

GCF of 476/520, 672/778

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 476/520, 672/778 i.e 28/202280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/520, 672/778.

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 476/520,672/778?

Given fractions are 476/520,672/778

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 476/520,672/778, numerators are 476,672

Denominators are 520,778

The GCF of 476,672 is 28 .

LCM of 520,778 is 202280.

The greatest common factor of 476/520,672/778 = [GCF of 476,672]/[LCM of 520,778]= 28/202280

Therefore, the GCF of 476/520,672/778 is 28/202280.

Greatest Common Factor of 476,672

To find the highest common factor of 476,672, we have to find the factors of both numbers and list the highest common factor.

The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 476,672 is 28.

Lets's calculate GCF of 476,672

Greatest Common Factor (GCF) of 476,672 By Common Division

2	476, 672
2	238, 336
7	119, 168
	17, 24

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 476,672 By Matching Biggest Common Factor Method

Now, list down the factors of 476

1,2,4,7,14,17,28,34,68,119,238,476

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 476,672 . The biggest common factor number is the GCF number.
So the greatest common factor 476,672 is 28.

Lets's calculate LCM of 520,778

Lowest Common Multiple of 520,778 using Common Division

2	520, 778
	260, 389

∴ So the LCM of the given numbers is 2 x 260 x 389 = 202280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/202280

Therefore, the GCF of Fractions 476/520,672/778 is 28/202280

Least Common Multiple of 520,778 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 520,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,778) = 2

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

GCF(520,778) x common factors =2 x 1 = 2

LCM(520,778) = ( 520 × 778 ) / 2

LCM(520,778) = 404560 / 2

LCM(520,778) = 202280

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 476/520, 672/778

1. What is the HCF of 476,672?

The HCF of 476,672 is 28

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 476/520, 672/778?

Answer: GCF of Numerators as per given numbers 476/520, 672/778 is

GCF of Numerators i.e. for 476,672 is 28

LCM of denominators i.e. for 520,778 is 202280.

Thus, GCF of Fractions is 28/202280.Finally, GCF of Fractions for 476/520, 672/778 is 28/202280.