How to Find GCF of 4232/788, 5245/754?

GCF of 4232/788, 5245/754

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 4232/788, 5245/754 i.e 1/297076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4232/788, 5245/754.

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 4232/788,5245/754?

Given fractions are 4232/788,5245/754

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 4232/788,5245/754, numerators are 4232,5245

Denominators are 788,754

The GCF of 4232,5245 is 1 .

LCM of 788,754 is 297076.

The greatest common factor of 4232/788,5245/754 = [GCF of 4232,5245]/[LCM of 788,754]= 1/297076

Therefore, the GCF of 4232/788,5245/754 is 1/297076.

Greatest Common Factor of 4232,5245

To find the highest common factor of 4232,5245, we have to find the factors of both numbers and list the highest common factor.

The factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232

The factors of 5245 are 1, 5, 1049, 5245

The HCF of 4232,5245 is 1.

Lets's calculate GCF of 4232,5245

Greatest Common Factor (GCF) of 4232,5245 By Common Division

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

Greatest Common Factor of 4232,5245 By Matching Biggest Common Factor Method

Now, list down the factors of 4232

1,2,4,8,23,46,92,184,529,1058,2116,4232

Now, list down the factors of 5245

1,5,1049,5245

Greatest Common Factor

We found the factors 4232,5245 . The biggest common factor number is the GCF number.
So the greatest common factor 4232,5245 is 1.

Lets's calculate LCM of 788,754

Lowest Common Multiple of 788,754 using Common Division

2	788, 754
	394, 377

∴ So the LCM of the given numbers is 2 x 394 x 377 = 297076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297076

Therefore, the GCF of Fractions 4232/788,5245/754 is 1/297076

Least Common Multiple of 788,754 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 788,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,754) = 2

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

GCF(788,754) x common factors =2 x 1 = 2

LCM(788,754) = ( 788 × 754 ) / 2

LCM(788,754) = 594152 / 2

LCM(788,754) = 297076

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FAQs on GCF of Fractions of 4232/788, 5245/754

1. What is the HCF of 4232,5245?

The HCF of 4232,5245 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 4232/788, 5245/754?

Answer: GCF of Numerators as per given numbers 4232/788, 5245/754 is

GCF of Numerators i.e. for 4232,5245 is 1

LCM of denominators i.e. for 788,754 is 297076.

Thus, GCF of Fractions is 1/297076.Finally, GCF of Fractions for 4232/788, 5245/754 is 1/297076.