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GCF of 425/38, 830/833

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 425/38, 830/833 i.e 5/31654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/38, 830/833.

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 425/38,830/833?

Given fractions are 425/38,830/833

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 425/38,830/833, numerators are 425,830

Denominators are 38,833

The GCF of 425,830 is 5 .

LCM of 38,833 is 31654.

The greatest common factor of 425/38,830/833 = [GCF of 425,830]/[LCM of 38,833]= 5/31654

Therefore, the GCF of 425/38,830/833 is 5/31654.

Greatest Common Factor of 425,830

To find the highest common factor of 425,830, we have to find the factors of both numbers and list the highest common factor.

The factors of 425 are 1, 5, 17, 25, 85, 425

The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830

The HCF of 425,830 is 5.

Lets's calculate GCF of 425,830

Greatest Common Factor (GCF) of 425,830 By Common Division

5 425, 830
85, 166

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 425,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,830 By Matching Biggest Common Factor Method

Now, list down the factors of 425

:

1,5,17,25,85,425

Now, list down the factors of 830

:

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 425,830 . The biggest common factor number is the GCF number.
So the greatest common factor 425,830 is 5.

Lets's calculate LCM of 38,833

Lowest Common Multiple of 38,833 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 31654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/31654

Therefore, the GCF of Fractions 425/38,830/833 is 5/31654

Least Common Multiple of 38,833 with GCF Formula

Least Common Multiple of 38,833 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 38,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,833) = 1

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

GCF(38,833) x common factors =1 x 1 = 1

LCM(38,833) = ( 38 × 833 ) / 1

LCM(38,833) = 31654 / 1

LCM(38,833) = 31654


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FAQs on GCF of Fractions of 425/38, 830/833

1. What is the HCF of 425,830?

The HCF of 425,830 is 5

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 425/38, 830/833?

Answer: GCF of Numerators as per given numbers 425/38, 830/833 is

GCF of Numerators i.e. for 425,830 is 5

LCM of denominators i.e. for 38,833 is 31654.

Thus, GCF of Fractions is 5/31654.Finally, GCF of Fractions for 425/38, 830/833 is 5/31654.