How to Find GCF of 1540/293, 6788/1660?

GCF of 1540/293, 6788/1660

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 1540/293, 6788/1660 i.e 4/486380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1540/293, 6788/1660.

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 1540/293,6788/1660?

Given fractions are 1540/293,6788/1660

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 1540/293,6788/1660, numerators are 1540,6788

Denominators are 293,1660

The GCF of 1540,6788 is 4 .

LCM of 293,1660 is 486380.

The greatest common factor of 1540/293,6788/1660 = [GCF of 1540,6788]/[LCM of 293,1660]= 4/486380

Therefore, the GCF of 1540/293,6788/1660 is 4/486380.

Greatest Common Factor of 1540,6788

To find the highest common factor of 1540,6788, 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 6788 are 1, 2, 4, 1697, 3394, 6788

The HCF of 1540,6788 is 4.

Lets's calculate GCF of 1540,6788

Greatest Common Factor (GCF) of 1540,6788 By Common Division

2	1540, 6788
2	770, 3394
	385, 1697

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

Greatest Common Factor of 1540,6788 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 6788

1,2,4,1697,3394,6788

Greatest Common Factor

We found the factors 1540,6788 . The biggest common factor number is the GCF number.
So the greatest common factor 1540,6788 is 4.

Lets's calculate LCM of 293,1660

Lowest Common Multiple of 293,1660 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 486380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/486380

Therefore, the GCF of Fractions 1540/293,6788/1660 is 4/486380

Least Common Multiple of 293,1660 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 293,1660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,1660) = 1

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

GCF(293,1660) x common factors =1 x 1 = 1

LCM(293,1660) = ( 293 × 1660 ) / 1

LCM(293,1660) = 486380 / 1

LCM(293,1660) = 486380

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1540/293, 6788/1660

1. What is the HCF of 1540,6788?

The HCF of 1540,6788 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 1540/293, 6788/1660?

Answer: GCF of Numerators as per given numbers 1540/293, 6788/1660 is

GCF of Numerators i.e. for 1540,6788 is 4

LCM of denominators i.e. for 293,1660 is 486380.

Thus, GCF of Fractions is 4/486380.Finally, GCF of Fractions for 1540/293, 6788/1660 is 4/486380.