How to Find GCF of 4120/379, 6648/545?

GCF of 4120/379, 6648/545

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 4120/379, 6648/545 i.e 8/206555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4120/379, 6648/545.

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 4120/379,6648/545?

Given fractions are 4120/379,6648/545

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 4120/379,6648/545, numerators are 4120,6648

Denominators are 379,545

The GCF of 4120,6648 is 8 .

LCM of 379,545 is 206555.

The greatest common factor of 4120/379,6648/545 = [GCF of 4120,6648]/[LCM of 379,545]= 8/206555

Therefore, the GCF of 4120/379,6648/545 is 8/206555.

Greatest Common Factor of 4120,6648

To find the highest common factor of 4120,6648, we have to find the factors of both numbers and list the highest common factor.

The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120

The factors of 6648 are 1, 2, 3, 4, 6, 8, 12, 24, 277, 554, 831, 1108, 1662, 2216, 3324, 6648

The HCF of 4120,6648 is 8.

Lets's calculate GCF of 4120,6648

Greatest Common Factor (GCF) of 4120,6648 By Common Division

2	4120, 6648
2	2060, 3324
2	1030, 1662
	515, 831

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4120,6648 By Matching Biggest Common Factor Method

Now, list down the factors of 4120

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Now, list down the factors of 6648

1,2,3,4,6,8,12,24,277,554,831,1108,1662,2216,3324,6648

Greatest Common Factor

We found the factors 4120,6648 . The biggest common factor number is the GCF number.
So the greatest common factor 4120,6648 is 8.

Lets's calculate LCM of 379,545

Lowest Common Multiple of 379,545 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 206555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/206555

Therefore, the GCF of Fractions 4120/379,6648/545 is 8/206555

Least Common Multiple of 379,545 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 379,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,545) = 1

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

GCF(379,545) x common factors =1 x 1 = 1

LCM(379,545) = ( 379 × 545 ) / 1

LCM(379,545) = 206555 / 1

LCM(379,545) = 206555

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FAQs on GCF of Fractions of 4120/379, 6648/545

1. What is the HCF of 4120,6648?

The HCF of 4120,6648 is 8

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 4120/379, 6648/545?

Answer: GCF of Numerators as per given numbers 4120/379, 6648/545 is

GCF of Numerators i.e. for 4120,6648 is 8

LCM of denominators i.e. for 379,545 is 206555.

Thus, GCF of Fractions is 8/206555.Finally, GCF of Fractions for 4120/379, 6648/545 is 8/206555.