How to Find GCF of 388/180, 5492/6456?

GCF of 388/180, 5492/6456

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 388/180, 5492/6456 i.e 4/96840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/180, 5492/6456.

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 388/180,5492/6456?

Given fractions are 388/180,5492/6456

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 388/180,5492/6456, numerators are 388,5492

Denominators are 180,6456

The GCF of 388,5492 is 4 .

LCM of 180,6456 is 96840.

The greatest common factor of 388/180,5492/6456 = [GCF of 388,5492]/[LCM of 180,6456]= 4/96840

Therefore, the GCF of 388/180,5492/6456 is 4/96840.

Greatest Common Factor of 388,5492

To find the highest common factor of 388,5492, we have to find the factors of both numbers and list the highest common factor.

The factors of 388 are 1, 2, 4, 97, 194, 388

The factors of 5492 are 1, 2, 4, 1373, 2746, 5492

The HCF of 388,5492 is 4.

Lets's calculate GCF of 388,5492

Greatest Common Factor (GCF) of 388,5492 By Common Division

2	388, 5492
2	194, 2746
	97, 1373

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

Greatest Common Factor of 388,5492 By Matching Biggest Common Factor Method

Now, list down the factors of 388

1,2,4,97,194,388

Now, list down the factors of 5492

1,2,4,1373,2746,5492

Greatest Common Factor

We found the factors 388,5492 . The biggest common factor number is the GCF number.
So the greatest common factor 388,5492 is 4.

Lets's calculate LCM of 180,6456

Lowest Common Multiple of 180,6456 using Common Division

2	180, 6456
2	90, 3228
3	45, 1614
	15, 538

∴ So the LCM of the given numbers is 2 x 2 x 3 x 15 x 538 = 96840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/96840

Therefore, the GCF of Fractions 388/180,5492/6456 is 4/96840

Least Common Multiple of 180,6456 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 180,6456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,6456) = 12

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

GCF(180,6456) x common factors =12 x 1 = 12

LCM(180,6456) = ( 180 × 6456 ) / 12

LCM(180,6456) = 1162080 / 12

LCM(180,6456) = 96840

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FAQs on GCF of Fractions of 388/180, 5492/6456

1. What is the HCF of 388,5492?

The HCF of 388,5492 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 388/180, 5492/6456?

Answer: GCF of Numerators as per given numbers 388/180, 5492/6456 is

GCF of Numerators i.e. for 388,5492 is 4

LCM of denominators i.e. for 180,6456 is 96840.

Thus, GCF of Fractions is 4/96840.Finally, GCF of Fractions for 388/180, 5492/6456 is 4/96840.