How to Find GCF of 308/556, 3850/5304?

GCF of 308/556, 3850/5304

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 308/556, 3850/5304 i.e 154/737256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 308/556, 3850/5304.

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 308/556,3850/5304?

Given fractions are 308/556,3850/5304

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 308/556,3850/5304, numerators are 308,3850

Denominators are 556,5304

The GCF of 308,3850 is 154 .

LCM of 556,5304 is 737256.

The greatest common factor of 308/556,3850/5304 = [GCF of 308,3850]/[LCM of 556,5304]= 154/737256

Therefore, the GCF of 308/556,3850/5304 is 154/737256.

Greatest Common Factor of 308,3850

To find the highest common factor of 308,3850, we have to find the factors of both numbers and list the highest common factor.

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The factors of 3850 are 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850

The HCF of 308,3850 is 154.

Lets's calculate GCF of 308,3850

Greatest Common Factor (GCF) of 308,3850 By Common Division

2	308, 3850
7	154, 1925
11	22, 275
	2, 25

∴ So the GCF of the given numbers is 2 x 7 x 11 = 154

Greatest Common Factor of 308,3850 By Matching Biggest Common Factor Method

Now, list down the factors of 308

1,2,4,7,11,14,22,28,44,77,154,308

Now, list down the factors of 3850

1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850

Greatest Common Factor

We found the factors 308,3850 . The biggest common factor number is the GCF number.
So the greatest common factor 308,3850 is 154.

Lets's calculate LCM of 556,5304

Lowest Common Multiple of 556,5304 using Common Division

2	556, 5304
2	278, 2652
	139, 1326

∴ So the LCM of the given numbers is 2 x 2 x 139 x 1326 = 737256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 154/737256

Therefore, the GCF of Fractions 308/556,3850/5304 is 154/737256

Least Common Multiple of 556,5304 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 556,5304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,5304) = 4

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

GCF(556,5304) x common factors =4 x 1 = 4

LCM(556,5304) = ( 556 × 5304 ) / 4

LCM(556,5304) = 2949024 / 4

LCM(556,5304) = 737256

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 308/556, 3850/5304

1. What is the HCF of 308,3850?

The HCF of 308,3850 is 154

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 308/556, 3850/5304?

Answer: GCF of Numerators as per given numbers 308/556, 3850/5304 is

GCF of Numerators i.e. for 308,3850 is 154

LCM of denominators i.e. for 556,5304 is 737256.

Thus, GCF of Fractions is 154/737256.Finally, GCF of Fractions for 308/556, 3850/5304 is 154/737256.