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GCF of 429/149, 254/789

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 429/149, 254/789 i.e 1/117561 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/149, 254/789.

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 429/149,254/789?

Given fractions are 429/149,254/789

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 429/149,254/789, numerators are 429,254

Denominators are 149,789

The GCF of 429,254 is 1 .

LCM of 149,789 is 117561.

The greatest common factor of 429/149,254/789 = [GCF of 429,254]/[LCM of 149,789]= 1/117561

Therefore, the GCF of 429/149,254/789 is 1/117561.

Greatest Common Factor of 429,254

To find the highest common factor of 429,254, we have to find the factors of both numbers and list the highest common factor.

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The factors of 254 are 1, 2, 127, 254

The HCF of 429,254 is 1.

Lets's calculate GCF of 429,254

Greatest Common Factor (GCF) of 429,254 By Common Division

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

Greatest Common Factor of 429,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,254 By Matching Biggest Common Factor Method

Now, list down the factors of 429

:

1,3,11,13,33,39,143,429

Now, list down the factors of 254

:

1,2,127,254

Greatest Common Factor

We found the factors 429,254 . The biggest common factor number is the GCF number.
So the greatest common factor 429,254 is 1.

Lets's calculate LCM of 149,789

Lowest Common Multiple of 149,789 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 117561

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117561

Therefore, the GCF of Fractions 429/149,254/789 is 1/117561

Least Common Multiple of 149,789 with GCF Formula

Least Common Multiple of 149,789 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 149,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,789) = 1

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

GCF(149,789) x common factors =1 x 1 = 1

LCM(149,789) = ( 149 × 789 ) / 1

LCM(149,789) = 117561 / 1

LCM(149,789) = 117561


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FAQs on GCF of Fractions of 429/149, 254/789

1. What is the HCF of 429,254?

The HCF of 429,254 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 429/149, 254/789?

Answer: GCF of Numerators as per given numbers 429/149, 254/789 is

GCF of Numerators i.e. for 429,254 is 1

LCM of denominators i.e. for 149,789 is 117561.

Thus, GCF of Fractions is 1/117561.Finally, GCF of Fractions for 429/149, 254/789 is 1/117561.