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GCF of 4453/188, 4285/8070

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 4453/188, 4285/8070 i.e 1/758580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4453/188, 4285/8070.

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 4453/188,4285/8070?

Given fractions are 4453/188,4285/8070

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 4453/188,4285/8070, numerators are 4453,4285

Denominators are 188,8070

The GCF of 4453,4285 is 1 .

LCM of 188,8070 is 758580.

The greatest common factor of 4453/188,4285/8070 = [GCF of 4453,4285]/[LCM of 188,8070]= 1/758580

Therefore, the GCF of 4453/188,4285/8070 is 1/758580.

Greatest Common Factor of 4453,4285

To find the highest common factor of 4453,4285, we have to find the factors of both numbers and list the highest common factor.

The factors of 4453 are 1, 61, 73, 4453

The factors of 4285 are 1, 5, 857, 4285

The HCF of 4453,4285 is 1.

Lets's calculate GCF of 4453,4285

Greatest Common Factor (GCF) of 4453,4285 By Common Division

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

Greatest Common Factor of 4453,4285 By Matching Biggest Common Factor Method

Greatest Common Factor of 4453,4285 By Matching Biggest Common Factor Method

Now, list down the factors of 4453

:

1,61,73,4453

Now, list down the factors of 4285

:

1,5,857,4285

Greatest Common Factor

We found the factors 4453,4285 . The biggest common factor number is the GCF number.
So the greatest common factor 4453,4285 is 1.

Lets's calculate LCM of 188,8070

Lowest Common Multiple of 188,8070 using Common Division

2 188, 8070
94, 4035

∴ So the LCM of the given numbers is 2 x 94 x 4035 = 758580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/758580

Therefore, the GCF of Fractions 4453/188,4285/8070 is 1/758580

Least Common Multiple of 188,8070 with GCF Formula

Least Common Multiple of 188,8070 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 188,8070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,8070) = 2

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

GCF(188,8070) x common factors =2 x 1 = 2

LCM(188,8070) = ( 188 × 8070 ) / 2

LCM(188,8070) = 1517160 / 2

LCM(188,8070) = 758580


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4453/188, 4285/8070

1. What is the HCF of 4453,4285?

The HCF of 4453,4285 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 4453/188, 4285/8070?

Answer: GCF of Numerators as per given numbers 4453/188, 4285/8070 is

GCF of Numerators i.e. for 4453,4285 is 1

LCM of denominators i.e. for 188,8070 is 758580.

Thus, GCF of Fractions is 1/758580.Finally, GCF of Fractions for 4453/188, 4285/8070 is 1/758580.