How to Find GCF of 240/750, 128/376?

GCF of 240/750, 128/376

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 240/750, 128/376 i.e 16/141000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 240/750, 128/376.

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 240/750,128/376?

Given fractions are 240/750,128/376

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 240/750,128/376, numerators are 240,128

Denominators are 750,376

The GCF of 240,128 is 16 .

LCM of 750,376 is 141000.

The greatest common factor of 240/750,128/376 = [GCF of 240,128]/[LCM of 750,376]= 16/141000

Therefore, the GCF of 240/750,128/376 is 16/141000.

Greatest Common Factor of 240,128

To find the highest common factor of 240,128, we have to find the factors of both numbers and list the highest common factor.

The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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

The HCF of 240,128 is 16.

Lets's calculate GCF of 240,128

Greatest Common Factor (GCF) of 240,128 By Common Division

2	240, 128
2	120, 64
2	60, 32
2	30, 16
	15, 8

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 240,128 By Matching Biggest Common Factor Method

Now, list down the factors of 240

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Now, list down the factors of 128

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

Greatest Common Factor

We found the factors 240,128 . The biggest common factor number is the GCF number.
So the greatest common factor 240,128 is 16.

Lets's calculate LCM of 750,376

Lowest Common Multiple of 750,376 using Common Division

2	750, 376
	375, 188

∴ So the LCM of the given numbers is 2 x 375 x 188 = 141000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/141000

Therefore, the GCF of Fractions 240/750,128/376 is 16/141000

Least Common Multiple of 750,376 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 750,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,376) = 2

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

GCF(750,376) x common factors =2 x 1 = 2

LCM(750,376) = ( 750 × 376 ) / 2

LCM(750,376) = 282000 / 2

LCM(750,376) = 141000

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FAQs on GCF of Fractions of 240/750, 128/376

1. What is the HCF of 240,128?

The HCF of 240,128 is 16

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 240/750, 128/376?

Answer: GCF of Numerators as per given numbers 240/750, 128/376 is

GCF of Numerators i.e. for 240,128 is 16

LCM of denominators i.e. for 750,376 is 141000.

Thus, GCF of Fractions is 16/141000.Finally, GCF of Fractions for 240/750, 128/376 is 16/141000.