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GCF of 339/51, 443/7250

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 339/51, 443/7250 i.e 1/369750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/51, 443/7250.

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 339/51,443/7250?

Given fractions are 339/51,443/7250

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 339/51,443/7250, numerators are 339,443

Denominators are 51,7250

The GCF of 339,443 is 1 .

LCM of 51,7250 is 369750.

The greatest common factor of 339/51,443/7250 = [GCF of 339,443]/[LCM of 51,7250]= 1/369750

Therefore, the GCF of 339/51,443/7250 is 1/369750.

Greatest Common Factor of 339,443

To find the highest common factor of 339,443, we have to find the factors of both numbers and list the highest common factor.

The factors of 339 are 1, 3, 113, 339

The factors of 443 are 1, 443

The HCF of 339,443 is 1.

Lets's calculate GCF of 339,443

Greatest Common Factor (GCF) of 339,443 By Common Division

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

Greatest Common Factor of 339,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,443 By Matching Biggest Common Factor Method

Now, list down the factors of 339

:

1,3,113,339

Now, list down the factors of 443

:

1,443

Greatest Common Factor

We found the factors 339,443 . The biggest common factor number is the GCF number.
So the greatest common factor 339,443 is 1.

Lets's calculate LCM of 51,7250

Lowest Common Multiple of 51,7250 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 369750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/369750

Therefore, the GCF of Fractions 339/51,443/7250 is 1/369750

Least Common Multiple of 51,7250 with GCF Formula

Least Common Multiple of 51,7250 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 51,7250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,7250) = 1

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

GCF(51,7250) x common factors =1 x 1 = 1

LCM(51,7250) = ( 51 × 7250 ) / 1

LCM(51,7250) = 369750 / 1

LCM(51,7250) = 369750


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FAQs on GCF of Fractions of 339/51, 443/7250

1. What is the HCF of 339,443?

The HCF of 339,443 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 339/51, 443/7250?

Answer: GCF of Numerators as per given numbers 339/51, 443/7250 is

GCF of Numerators i.e. for 339,443 is 1

LCM of denominators i.e. for 51,7250 is 369750.

Thus, GCF of Fractions is 1/369750.Finally, GCF of Fractions for 339/51, 443/7250 is 1/369750.