How to Find GCF of 1540/758, 5176/293?

GCF of 1540/758, 5176/293

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 1540/758, 5176/293 i.e 4/222094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1540/758, 5176/293.

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 1540/758,5176/293?

Given fractions are 1540/758,5176/293

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 1540/758,5176/293, numerators are 1540,5176

Denominators are 758,293

The GCF of 1540,5176 is 4 .

LCM of 758,293 is 222094.

The greatest common factor of 1540/758,5176/293 = [GCF of 1540,5176]/[LCM of 758,293]= 4/222094

Therefore, the GCF of 1540/758,5176/293 is 4/222094.

Greatest Common Factor of 1540,5176

To find the highest common factor of 1540,5176, we have to find the factors of both numbers and list the highest common factor.

The factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540

The factors of 5176 are 1, 2, 4, 8, 647, 1294, 2588, 5176

The HCF of 1540,5176 is 4.

Lets's calculate GCF of 1540,5176

Greatest Common Factor (GCF) of 1540,5176 By Common Division

2	1540, 5176
2	770, 2588
	385, 1294

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

Greatest Common Factor of 1540,5176 By Matching Biggest Common Factor Method

Now, list down the factors of 1540

1,2,4,5,7,10,11,14,20,22,28,35,44,55,70,77,110,140,154,220,308,385,770,1540

Now, list down the factors of 5176

1,2,4,8,647,1294,2588,5176

Greatest Common Factor

We found the factors 1540,5176 . The biggest common factor number is the GCF number.
So the greatest common factor 1540,5176 is 4.

Lets's calculate LCM of 758,293

Lowest Common Multiple of 758,293 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 222094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/222094

Therefore, the GCF of Fractions 1540/758,5176/293 is 4/222094

Least Common Multiple of 758,293 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 758,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,293) = 1

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

GCF(758,293) x common factors =1 x 1 = 1

LCM(758,293) = ( 758 × 293 ) / 1

LCM(758,293) = 222094 / 1

LCM(758,293) = 222094

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FAQs on GCF of Fractions of 1540/758, 5176/293

1. What is the HCF of 1540,5176?

The HCF of 1540,5176 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 1540/758, 5176/293?

Answer: GCF of Numerators as per given numbers 1540/758, 5176/293 is

GCF of Numerators i.e. for 1540,5176 is 4

LCM of denominators i.e. for 758,293 is 222094.

Thus, GCF of Fractions is 4/222094.Finally, GCF of Fractions for 1540/758, 5176/293 is 4/222094.