How to Find GCF of 7168/356, 1100/5006?

GCF of 7168/356, 1100/5006

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 7168/356, 1100/5006 i.e 4/891068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7168/356, 1100/5006.

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 7168/356,1100/5006?

Given fractions are 7168/356,1100/5006

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 7168/356,1100/5006, numerators are 7168,1100

Denominators are 356,5006

The GCF of 7168,1100 is 4 .

LCM of 356,5006 is 891068.

The greatest common factor of 7168/356,1100/5006 = [GCF of 7168,1100]/[LCM of 356,5006]= 4/891068

Therefore, the GCF of 7168/356,1100/5006 is 4/891068.

Greatest Common Factor of 7168,1100

To find the highest common factor of 7168,1100, we have to find the factors of both numbers and list the highest common factor.

The factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168

The factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100

The HCF of 7168,1100 is 4.

Lets's calculate GCF of 7168,1100

Greatest Common Factor (GCF) of 7168,1100 By Common Division

2	7168, 1100
2	3584, 550
	1792, 275

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7168,1100 By Matching Biggest Common Factor Method

Now, list down the factors of 7168

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168

Now, list down the factors of 1100

1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100

Greatest Common Factor

We found the factors 7168,1100 . The biggest common factor number is the GCF number.
So the greatest common factor 7168,1100 is 4.

Lets's calculate LCM of 356,5006

Lowest Common Multiple of 356,5006 using Common Division

2	356, 5006
	178, 2503

∴ So the LCM of the given numbers is 2 x 178 x 2503 = 891068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/891068

Therefore, the GCF of Fractions 7168/356,1100/5006 is 4/891068

Least Common Multiple of 356,5006 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 356,5006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,5006) = 2

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

GCF(356,5006) x common factors =2 x 1 = 2

LCM(356,5006) = ( 356 × 5006 ) / 2

LCM(356,5006) = 1782136 / 2

LCM(356,5006) = 891068

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7168/356, 1100/5006

1. What is the HCF of 7168,1100?

The HCF of 7168,1100 is 4

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 7168/356, 1100/5006?

Answer: GCF of Numerators as per given numbers 7168/356, 1100/5006 is

GCF of Numerators i.e. for 7168,1100 is 4

LCM of denominators i.e. for 356,5006 is 891068.

Thus, GCF of Fractions is 4/891068.Finally, GCF of Fractions for 7168/356, 1100/5006 is 4/891068.