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GCF of 380/64, 512/457

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 380/64, 512/457 i.e 4/29248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 380/64, 512/457.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 380/64,512/457?

Given fractions are 380/64,512/457

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 380/64,512/457, numerators are 380,512

Denominators are 64,457

The GCF of 380,512 is 4 .

LCM of 64,457 is 29248.

The greatest common factor of 380/64,512/457 = [GCF of 380,512]/[LCM of 64,457]= 4/29248

Therefore, the GCF of 380/64,512/457 is 4/29248.

Greatest Common Factor of 380,512

To find the highest common factor of 380,512, we have to find the factors of both numbers and list the highest common factor.

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

The HCF of 380,512 is 4.

Lets's calculate GCF of 380,512

Greatest Common Factor (GCF) of 380,512 By Common Division

2 380, 512
2 190, 256
95, 128

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

Greatest Common Factor of 380,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,512 By Matching Biggest Common Factor Method

Now, list down the factors of 380

:

1,2,4,5,10,19,20,38,76,95,190,380

Now, list down the factors of 512

:

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 380,512 . The biggest common factor number is the GCF number.
So the greatest common factor 380,512 is 4.

Lets's calculate LCM of 64,457

Lowest Common Multiple of 64,457 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 29248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29248

Therefore, the GCF of Fractions 380/64,512/457 is 4/29248

Least Common Multiple of 64,457 with GCF Formula

Least Common Multiple of 64,457 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 64,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,457) = 1

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

GCF(64,457) x common factors =1 x 1 = 1

LCM(64,457) = ( 64 × 457 ) / 1

LCM(64,457) = 29248 / 1

LCM(64,457) = 29248


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FAQs on GCF of Fractions of 380/64, 512/457

1. What is the HCF of 380,512?

The HCF of 380,512 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 380/64, 512/457?

Answer: GCF of Numerators as per given numbers 380/64, 512/457 is

GCF of Numerators i.e. for 380,512 is 4

LCM of denominators i.e. for 64,457 is 29248.

Thus, GCF of Fractions is 4/29248.Finally, GCF of Fractions for 380/64, 512/457 is 4/29248.