How to Find GCF of 42/152, 42/478, 757/305?

GCF of 42/152, 42/478, 757/305

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 42/152, 42/478, 757/305 i.e 1/11080040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/152, 42/478, 757/305.

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 42/152,42/478,757/305?

Given fractions are 42/152,42/478,757/305

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 42/152,42/478,757/305, numerators are 42,42,757

Denominators are 152,478,305

The GCF of 42,42,757 is 1 .

LCM of 152,478,305 is 11080040.

The greatest common factor of 42/152,42/478,757/305 = [GCF of 42,42,757]/[LCM of 152,478,305]= 1/11080040

Therefore, the GCF of 42/152,42/478,757/305 is 1/11080040.

Greatest Common Factor of 42,42,757

To find the highest common factor of 42,42,757, we have to find the factors of both numbers and list the highest common factor.

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 757 are 1, 757

The HCF of 42,42,757 is 1.

Lets's calculate GCF of 42,42,757

Greatest Common Factor (GCF) of 42,42,757 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 42,42,757 By Matching Biggest Common Factor Method

Now, list down the factors of 42

1,2,3,6,7,14,21,42

Now, list down the factors of 42

1,2,3,6,7,14,21,42

Now, list down the factors of 757

1,757

Greatest Common Factor

We found the factors 42,42,757 . The biggest common factor number is the GCF number.
So the greatest common factor 42,42,757 is 1.

Lets's calculate LCM of 152,478,305

Lowest Common Multiple of 152,478,305 using Common Division

2	152, 478, 305
	76, 239, 305

∴ So the LCM of the given numbers is 2 x 76 x 239 x 305 = 11080040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11080040

Therefore, the GCF of Fractions 42/152,42/478,757/305 is 1/11080040

Least Common Multiple of 152,478,305 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 152,478,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,478,305) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(152,478,305) x common factors =1 x 2 = 2

LCM(152,478,305) = ( 152 × 478 × 305 ) / 2

LCM(152,478,305) = 22160080 / 2

LCM(152,478,305) = 11080040

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 42/152, 42/478, 757/305

1. What is the HCF of 42,42,757?

The HCF of 42,42,757 is 1

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 42/152, 42/478, 757/305?

Answer: GCF of Numerators as per given numbers 42/152, 42/478, 757/305 is

GCF of Numerators i.e. for 42,42,757 is 1

LCM of denominators i.e. for 152,478,305 is 11080040.

Thus, GCF of Fractions is 1/11080040.Finally, GCF of Fractions for 42/152, 42/478, 757/305 is 1/11080040.