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GCF of 438/254, 3559/300

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 438/254, 3559/300 i.e 1/38100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 438/254, 3559/300.

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 438/254,3559/300?

Given fractions are 438/254,3559/300

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 438/254,3559/300, numerators are 438,3559

Denominators are 254,300

The GCF of 438,3559 is 1 .

LCM of 254,300 is 38100.

The greatest common factor of 438/254,3559/300 = [GCF of 438,3559]/[LCM of 254,300]= 1/38100

Therefore, the GCF of 438/254,3559/300 is 1/38100.

Greatest Common Factor of 438,3559

To find the highest common factor of 438,3559, we have to find the factors of both numbers and list the highest common factor.

The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438

The factors of 3559 are 1, 3559

The HCF of 438,3559 is 1.

Lets's calculate GCF of 438,3559

Greatest Common Factor (GCF) of 438,3559 By Common Division

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

Greatest Common Factor of 438,3559 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,3559 By Matching Biggest Common Factor Method

Now, list down the factors of 438

:

1,2,3,6,73,146,219,438

Now, list down the factors of 3559

:

1,3559

Greatest Common Factor

We found the factors 438,3559 . The biggest common factor number is the GCF number.
So the greatest common factor 438,3559 is 1.

Lets's calculate LCM of 254,300

Lowest Common Multiple of 254,300 using Common Division

2 254, 300
127, 150

∴ So the LCM of the given numbers is 2 x 127 x 150 = 38100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38100

Therefore, the GCF of Fractions 438/254,3559/300 is 1/38100

Least Common Multiple of 254,300 with GCF Formula

Least Common Multiple of 254,300 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 254,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,300) = 2

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

GCF(254,300) x common factors =2 x 1 = 2

LCM(254,300) = ( 254 × 300 ) / 2

LCM(254,300) = 76200 / 2

LCM(254,300) = 38100


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FAQs on GCF of Fractions of 438/254, 3559/300

1. What is the HCF of 438,3559?

The HCF of 438,3559 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 438/254, 3559/300?

Answer: GCF of Numerators as per given numbers 438/254, 3559/300 is

GCF of Numerators i.e. for 438,3559 is 1

LCM of denominators i.e. for 254,300 is 38100.

Thus, GCF of Fractions is 1/38100.Finally, GCF of Fractions for 438/254, 3559/300 is 1/38100.