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GCF of 439/807, 7054/201

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 439/807, 7054/201 i.e 1/54069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/807, 7054/201.

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 439/807,7054/201?

Given fractions are 439/807,7054/201

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 439/807,7054/201, numerators are 439,7054

Denominators are 807,201

The GCF of 439,7054 is 1 .

LCM of 807,201 is 54069.

The greatest common factor of 439/807,7054/201 = [GCF of 439,7054]/[LCM of 807,201]= 1/54069

Therefore, the GCF of 439/807,7054/201 is 1/54069.

Greatest Common Factor of 439,7054

To find the highest common factor of 439,7054, we have to find the factors of both numbers and list the highest common factor.

The factors of 439 are 1, 439

The factors of 7054 are 1, 2, 3527, 7054

The HCF of 439,7054 is 1.

Lets's calculate GCF of 439,7054

Greatest Common Factor (GCF) of 439,7054 By Common Division

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

Greatest Common Factor of 439,7054 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,7054 By Matching Biggest Common Factor Method

Now, list down the factors of 439

:

1,439

Now, list down the factors of 7054

:

1,2,3527,7054

Greatest Common Factor

We found the factors 439,7054 . The biggest common factor number is the GCF number.
So the greatest common factor 439,7054 is 1.

Lets's calculate LCM of 807,201

Lowest Common Multiple of 807,201 using Common Division

3 807, 201
269, 67

∴ So the LCM of the given numbers is 3 x 269 x 67 = 54069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54069

Therefore, the GCF of Fractions 439/807,7054/201 is 1/54069

Least Common Multiple of 807,201 with GCF Formula

Least Common Multiple of 807,201 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 807,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,201) = 3

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

GCF(807,201) x common factors =3 x 1 = 3

LCM(807,201) = ( 807 × 201 ) / 3

LCM(807,201) = 162207 / 3

LCM(807,201) = 54069


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FAQs on GCF of Fractions of 439/807, 7054/201

1. What is the HCF of 439,7054?

The HCF of 439,7054 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 439/807, 7054/201?

Answer: GCF of Numerators as per given numbers 439/807, 7054/201 is

GCF of Numerators i.e. for 439,7054 is 1

LCM of denominators i.e. for 807,201 is 54069.

Thus, GCF of Fractions is 1/54069.Finally, GCF of Fractions for 439/807, 7054/201 is 1/54069.